They will win 100 games if the team rate continues through a 148-game season.
We will solve our question with the help of the Multiplication rule.
As per the question, the baseball team has won 25 games and lost 12 games. This will give us a total of 25+12= 37 games.
It is given that if the baseball team rate continues through a 148-game season which is 37*4 = 148 games.
So, we should multiply our initial won matches by 4 to get the final won matches as per the given condition, we will get:
25*4 = 100 matches.
We can also find the answer by:
You would multiply 25 by 148 divided by 37 to determine the number of games won if you were comparing the 25 of the 37 games won to the total of 148 games played.
(148*25)/(25+12)
= 3700/37 = 100
Therefore if the baseball teams' rate continues through a 148-game season, then they will win 100 matches.
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Aume that one unit i old on April 27 for "$231. " Determine the gro profit for April and ending inventory on April 30 uing the (a) firt-in, firt-out (FIFO); (b) lat-in, firt-out (LIFO); and (c) weighted average cot method
(a) FIFO: The oldest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.
(b) LIFO: The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.
(c) Weighted Average Cost: The cost of the unit sold would be the average cost of all units purchased, which is $231. Therefore, the gross profit for April would be the difference between the selling price and the average cost of all units, which is not provided in the information given. The ending inventory on April 30 would be zero, as all units were sold.
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The newest unit would be the one purchased on April 27 for $231. Therefore, the gross profit for April would be the difference between the selling price and the cost of the unit sold, which is not provided in the information given. The ending inventory on April 30 would be one unit, as one unit was not sold.
What is the multiplication rule example?.
The multiplication rule example is calculating the probability that both the balls drawn are red from an urn containing 30 red and 10 blue balls. Two balls are pulled from a bag one after the other without replacement.
As per the multiplication rule, the probability of events A and B happening is equal to the product of the probability of B happening and the conditional probability that event A happens if event B occurs.
If A and B are dependent events, then the probability of both events happening simultaneously is given by:
P(A ∩ B) = P(B).P(A|B)
If A and B are two independent events in an experiment, then the probability of both events happening simultaneously is given by:
P(A ∩ B) = P(A).P(B)
Let's solve our given example
Let A and B represent the events that the first and the second balls are pulled, which are red balls. Now, we have to calculate P(A∩B) or P(AB).
P(A) = P(red balls in first draw) = 30/40
Now, only 10 balls of blue colour and 29 balls of red colour are left in the bag. The probability of pulling a red ball in the second draw is also an example of conditional probability, where the drawing of the second ball depends on the drawing of the first ball.
Hence Conditional probability of B on A will be,
P(B|A) = 29/39
By multiplication rule of probability,
P(A∩B) = P(A) × P(B|A)
P(A ∩ B) = 30/40 × 29/39 = 29/52
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What is the solution to the system of equations?.
A collection of values for the variable that simultaneously satisfy each equation in a system of equations is referred to as the solution.
Typically, a system of linear equations consists of a pair of two-variable linear equations.
1. Examine substitution and elimination as two strategies for algebraically resolving systems of linear equations.
2. Use graphical representations of systems of linear equations to better grasp when these systems have a single solution, none at all, or an unlimited number of solutions.
3. Learn about algebraic techniques for counting the number of solutions to systems with two linear equations.
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PLEASE HELPP!!!!
ADD OR SUBTRACT THE FOLLOWING
1/(x-3)^2 - 2/x^2-9 + 1/(x+3)^2
Answer:36/(x+3)^2*(x-3)^2
Step-by-step explanation:
Pedro and Naomi begin to hike down a mountain at the same time.
They begin at different elevations and descend at different speeds.
The equation E = 4,200-800h gives Pedro's elevation in feet as a
function of time in hours. The table shows Naomi's elevation as she hikes
at a constant rate. Who has greater elevation at 1 hour?
Time (h)
0
1
3
5.5
Naomi’s elevation (ft)
3,500
2,900
1,700
200
a. Does Pedro or Naomi have greater elevation at h = 0? How much greater?
b. Who descends at a greater speed? How do you know?
c. The base of the mountain has 0 feet elevation. Does Pedro or Naomi reach the
base of the mountain first? Show your work.
Pedro is initially 700 ft higher than Naomi
Pedro decended at a greater speed and it was 800 ft/ hr
Pedro reaches the bootom faster than Naomi.
What is Equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.
Equations can be divided into three categories based on their degree. The three categories of mathematical equations are as follows:
Linear Equations
Quadratic Equations
Cubic Equations
Pedro's Elevation in feet equation
E = 4200 - 800h
So, initial elevation at h = 0 is
E = 4200 ft for Pedro
Now Naomi's Initial Elevation is 3500 ft.
So, Pedro is 4200 - 3500 = 700 ft higher than Naomi
at h = 1hr
Pedro's Elevation = 4200 - 800*1 = 3400 ft
and Naomi's Elevation = 2900 ft
Speed of desending of Pedro is = total distance/ total time
= (4200 - 3400)/1 = 800 ft/hr
Speed of desending of Naomi is = total distance/ total time
(3500 - 2900)/1 = 600 ft/hr
For Elevation = 0 for Pedro
0 = 4200 - 800h
h = 4200/800 = 5.25 hr
Naomi's elevation when time is 5.5 is 200 ft
So, Pedro reaches the bootom faster than Naomi.
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How are input, rule, and output related to each other in an input/output table?
A table gives the pairs input-output generated by the function.
How are the input and output related?We can define a general function as:
y = f(x)
where x is the input that we "feed" into the function, and the function gives y as the outcome.
A pair of input, output is written in a general form as (x, y).
If you have enough of these points, you can make a table:
inputs outputs
x₁ y₁
x₂ y₂
x₃ y₃
...
That means that:
f(x₁) = y₁
f(x₂) = y₂
etc...
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How many miles of track does the crew have left to lay after 19 days
The number of miles that the crew has left to lay after 19 days is given as follows:
54 miles.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope, representing the rate of change.b is the intercept, representing the initial value.The parameters for this problem are given as follows:
m = -6, b = 168.
Hence the function is:
y = -6x + 168.
The amount of miles left after 19 days is obtained as follows:
y = -6(19) + 168
y = 54 miles.
Missing InformationThe text of the problem is:
"A railroad crew can lay 6 miles of track each day. They need to lay 168 miles of track. "
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What percent of the men surveyed shop online? Round your answer to the nearest whole number percent.
27.5% percent of the men surveyed shop online.
How do I calculate a percentage?When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage.
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula used to calculate percentages.
The simplest way to use percentages is to compare two numbers, with the second number being rebased to 100. Consider that we are curious about the proportion of employed women who are female.
A % is a number or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed.
Store = 37 women
Total women: 37/49 = 0.75%
Men: shop equals 52
Total men: 11 /40 = 27.5%
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Select the statements that describe converting the polar coordinates (6, 120°) to rectangular coordinates, (x, y) using technology.
The point is in the second quadrant.
Start by adding 180° to θ.
Substitute 6 for r.
The value of x is 3.
The value of y is approximately 5.196.
(3 right answers)
Answer:
The point is in the second quadrant.
Substitute 6 for r.
The value of y is approximately 5.196.
Step-by-step explanation:
To convert polar coordinates (r,θ) to rectangular coordinates (x,y), we use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
The point is in the second quadrant.
-This statement is true because the polar angle (120°) is in the range of 90° < θ < 180° which correspond to the second quadrant in the cartesian plane.
Start by adding 180° to θ.
This statement is False, because when converting from polar coordinates to rectangular coordinates we don't need to add 180° to the angle, we use the given angle as it is.
Substitute 6 for r.
This statement is true. In this case, the given polar coordinates are (6, 120°), so we substitute 6 for r in the formulas.
The value of x is 3.
This statement is False, to calculate x we use the formula x = r * cos(θ), so in this case x = 6 * cos(120°) = -3, which is not equal to 3.
The value of y is approximately 5.196.
This statement is true, to calculate y we use the formula y = r * sin(θ), so in this case y = 6 * sin(120°) = 6 * 0.866 = 5.196, which is approximately equal to 5.196
Answer:
The point is in the second quadrant
Step-by-step explanation:
Work out the value of 3/3 × 10
Give your answer as a whole number or as a
fraction in its simplest form.
Answer:
10
Step-by-step explanation:
Since 3/3 = 1, then:
3/3 × 10 = 1 × 10 = 10
8t^2-14t+3 factored to (at-1) (bt+c)
The value of a is 4 , b is 2 and c = -3 after factorising 8t² - 14t + 3
What is Factorisation ?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number.
Factoring polynomials involves utilizing prime factorization to break the given polynomial down into a product of two or more polynomials. Polynomials can be readily simplified by factoring them.
The subsequent stages aid in the polynomial factoring process. The steps to factorizing a polynomial are listed below.
Check to see if the polynomial's terms have a common factor.Choose the best technique for factoring polynomials. You can determine the polynomial's components by regrouping or by using algebraic identities.Polynomial should be written as the sum of its components.The function is 8t² - 14t + 3
so factorising :
8t² - 14t + 3 = 8t² - 12 t - 2t + 3 = 4t(2t - 3) - (2t - 3)
= (4t - 1)(2t -3)
The value of a is 4 , b is 2 and c = -3
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A gas station employee monitored the gas sales one day. The data showed that 80% of customers purchased regular gas. Of the customers who purchased regular gas, 10% paid in cash, whereas 40% of the customers who did not purchase regular gas paid in cash. What percentage of the customers paid in cash? 48% 20% 16% 50%
Answer: 16%
Step-by-step explanation: If 80% of customers purchased regular gas and 10% of those who purchased regular gas paid in cash, then 8% paid in cash. If 100-80=20% of customers purchased something other than regular gas and 40% of those who did paid in cash, than another 8% paid in cash. 8+8=16, so (c 16 is the answer.
Write the expression using exponents G times G times G times G times G
Answer:
G to the power of 5
Step-by-step explanation:
Since there are 5 Gs, the exponent would be 5
Answer: [tex]G^5[/tex]
Step-by-step explanation: G times G times G times G times G is G times itself 5 times, which can be rewritten as [tex]G^5[/tex]
Pls help step by step pls
Answer:
a₄ = 67
Step-by-step explanation:
the recursive rule allows a term to be found from the previous term
using the recursive rule
[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex] - 2 , then
a₁ = - 3
a₂ = - 3a₁ - 2 = - 3(- 3) - 2 = 9 - 2 = 7
a₃ = - 3a₂ - 2 = - 3(7) - 2 = - 21 - 2 = - 23
a₄ = - 3a₃ - 2 = - 3(- 23) - 2 = 69 - 2 = 67
The table below shows the coordinates of a figure that was transformed. Which is a correct description of the transformation? Question 4 options: Rotation 180° clockwise B. Reflection over the x-axis. Translation 5 units left and 2 units down. Translation 10 units left and 4 units down.
HELP PLEASEEEE
A correct description of the transformation include the following: D. translation 10 units left and 4 units down.
What is a translation?In Mathematics, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image or function.
On the other hand, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
By translating the pre-image of triangle ABC vertically down by 4 units and horizontally left by 10 unit, the coordinates of the image of triangle A'B'C' include the following:
(x, y) → (x - 10, y - 4)
Coordinate A = (5, 2) → Coordinate A' (5 - 10, 2 - 4) = (-5, -2)
Coordinate B = (6, 1) → Coordinate B' = (6 - 10, 1 - 4) = (-4, -3)
Coordinate C = (4, 5) → Coordinate C' = (4 - 10, 5 - 4) = (-6, 1)
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Complete Question:
The table below shows the coordinates of a figure that was transformed.
Pre-Image Image
A(5,2) A'(-5,-2)
B(6,1) B'(-4,-3)
C(4,5) C'(-6, 1)
Which is a correct description of the transformation?
Question 4 options: Rotation 180° clockwise B. Reflection over the x-axis. Translation 5 units left and 2 units down. Translation 10 units left and 4 units down.
If DE=8 and EF=3, what is DF?
If DE=8 and EF=3 then the length of DF is 8.54 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
DEF is a given triangle.
DE is the opposite side of the triangle.
EF is the adjacent side of the triangle.
DF is hypotenuse.
By using pythagoras theorem we find the DF.
DE²+EF²=DF²
8²+3²=DF²
64+9=DF²
73=DF²
Take square root on both sides
DF=√73=8.54
Hence, the length of DF is 8.54 units.
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BONUS: Find the value of x. Show your work ACDE - AFGH D 7x 8x - 1 E F G 9x 10x + 1 H
The value of x is 1.
Comparing similar triangles.On comparison, when two or more triangles have some common relations with respect to their sides or measure of internal angles, they are said to be similar.
To find the value of x, compare the corresponding sides of the two triangles.
To have;
7x/ 9x = (8x - 1)/ (10x + 1)
9x (8x - 1) = 7x(10x + 1)
72x^2 - 9x = 70x^2 + 7x
collect like terms
72x^2 - 70x^2 - 9x + 7x = 0
2x^2 -2x = 0
2x(x - 1) = 0
2x = 0 or x - 1 = 0
x = 0. or x = 1
Therefore,
x = 1
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Answer:
Step-by-step explanation:
ur mom ur mommy
evaluate the trigonometric function using its period as an aid
Functions y = A sin(Bx + C) and y = A cos(Bx + C) have periods of 2 /|B| radians each. A function's frequency is equal to the reciprocal of its period.
What is a period in trigonometric functions?The horizontal distance covered prior to the values repeating is the period of a trigonometric function. The period is for the two graphs, and. You may recall that these numbers are the same after the unit circle has made one full rotation.Finding the value of f(x) =... or y =... that corresponds to a given value of x is the definition of function evaluation. Simply swap out all instances of x with the value that has been allocated to x to do this.You must divide pi by the absolute value of your B if either the tangent or cotangent of your trig function is present. Since our sine function, f(x) = 3 sin(4x + 2), has a period of 2 pi divided by 4, our B value, it has a sine function.To learn more about equal refer to:
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What is the nature of roots of quadratic equation x² 5x 14 0?.
The Nature Of roots of quadratic equation "x² + 5x - 14 = 0 " is , that the roots are real and distinct .
In order to find the Nature of Roots of a quadratic equation , we use the Discriminant ,
Suppose the quadratic is given by : ax² + bx + c = 0 ,
then it's discriminant(D) will be written as : D = b² - 4ac,
The equation is given as : x² + 5x - 14 = 0 ;
On comparing it with the general equation , we get that ;
⇒ a = 1 , b = 5 and c = -14 .
On substituting the values ,
we get , D = 5² - 4(1)(-14) ;
⇒ D = 25 + 56 ;
⇒ D = 81 .
We see that the Discriminant (D) is greater than 0 , the roots will be Real and Distinct .
Therefore , the nature of roots is that they are Real and Distinct .
The given question is incomplete , the complete question is
What is the nature of roots of quadratic equation x² + 5x - 14 = 0 ?
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Group of friend decided to equally hare a package of trading card if there were 48 card in the package and each peron receive 12 how many friend were in the group
There are 4 friends in the group.
Poker: In poker, the number of each card in the deck is important. A standard deck of poker cards has 52 cards, with 13 cards in each of the four suits (hearts, diamonds, clubs, spades). Each suit has cards numbered 2-10, plus a jack, queen, king and ace. This allows for the calculation of odds and probability in the game.
If each person received 12 trading cards and 48 cards in the package, you can use division to find how many people are in the group.
We know that:
48 trading cards / 12 trading cards per person = 4 people
Therefore, there are 4 friends in the group.
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You can use division to determine the number of people in the group if each person got 12 trading cards and there were 48 total cards in the package.
12 trading cards per individual times 48 trading cards equals four people.
As a result, the company consists of 4 friends.
While using factorization method solve the following quadratic equation
1. 2t+5t+2=0
2. Y+2y+1=25
3.9-36x=36x²
Step-by-step explanation:
1) 2t + 5t + 2 = 0
Add 2t + 5t = (2+5)t = 7t
7t + 2 = 0
Substract 2 from both sides
7t + 2 - 2 = 0 - 2
7t = -2
Divide both sides by 7
7t/7 = -2/7
[tex] \sf \: t = \frac{ - 2}{7} [/tex]
[tex] \sf --------------------------------------------[/tex]
Y+2y+1=25
3y + 1 = 25
3y = 25 - 1
3y = 24
y = 24/3
y = 8
[tex] \sf --------------------------------------------[/tex]
9−36x=36x2
Step 1: Simplify both sides of the equation.
−36x+9=36x2
Step 2: Subtract 36x^2 from both sides.
−36x+9−36x2=36x2−36x2
−36x2−36x+9=0
For this equation: a=-36, b=-36, c=9
−36x2+−36x+9=0
Step 3: Use quadratic formula with a=-36, b=-36, c=9.
x=
−b±√b2−4ac/2a
x=−(−36)±√(−36)2−4(−36)(9)/2(−36)
x=36±√2592/−72
x=−1/2 + −1/2√2 or x=−1/2 + 1/2√2
I need to know the steps to solve it
The value of x that makes both triangles congruent is x = -1 and x = 5
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Two triangles are congruent if their corresponding sides are equal to each other and their angles are also equal.
Since triangle ABC is congruent to DEF, hence:
BC = EF
Substituting:
4x - 2 = x² - 7
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and x = 5
The value of x is x = -1 and x = 5
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Goran will run at most 27 miles this week. so far, he has run 13 miles. what are the possible numbers of additional miles he will run? Use T for the number of additional miles he will run. Write ur answers as an inequality. solved for T
Answer: Goran will run at most 27 miles this week, and he has already run 13 miles, so the number of additional miles he will run is given by the difference of 27 - 13 = T.
Therefore, T = 27 - 13 = 14 miles
We can express this as an inequality:
T <= 14
This inequality represents that T, the number of additional miles he will run, can be any number less than or equal to 14.
Another way to express this is T <= 27-13
So the possible numbers of additional miles he will run are T <= 14.
Step-by-step explanation:
What is the sum of 4?.
The Sum of 4 is a concept that emphasizes the fact that there are multiple, if not infinite, ways to reach certain results, goals, dreams, or destinations.
In arithmetic, a chain is an enumerated series of gadgets in which repetitions are allowed and order matters. Like a hard and fast, it consists of contributors (additionally referred to as elements, or terms). The quantity of elements (possibly endless) is called the duration of the series.
Unlike a fixed, the same factors can appear a couple of times at distinct positions in a chain, and unlike a fixed, the order does be counted. formally, a chain can be described as a function from herbal numbers (the positions of elements inside the collection) to the factors at each position. The belief of a sequence may be generalized to a listed family, defined as a character from an arbitrary index set.
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Football party favor come in package like the one hown how much it cot to buy a 56 party favor Think about how you can model with math to help olve the problem
It would cost $224 to buy 56 party favors.
A word problem is a few phrases that describe a real-life scenario in which an issue must be solved using a mathematical computation. It is a mathematical problem expressed entirely in words typically used as an educational tool.
Word problems are regarded as an important aspect of the basic curriculum because they require students to apply their understanding of various concepts to real-life settings.
If the packages cost $4 each then 56 packages will cost 56 * 4 dollars.
we get, 56 * 4 = $224
Thus, it would cost $224 to buy 56 party favors.
Complete question: Football party favors come in packages like the one shown. How much would it cost to buy 56 party favors? Think about how you can model with math to help solve the problem. It's $4 per package.
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Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Show your work.
Answer: To find the coordinates of P, we will use the part-to-whole ratio of 1 to 5. This means that the distance from A to P is 1/6 of the distance from A to B.
We can find the distance from A to B by using the distance formula:
d = √((x2-x1)² + (y2-y1)²)
where (x1, y1) and (x2, y2) are the coordinates of A and B, respectively.
So, the distance from A to B is:
d = √((1-(-9))² + (8-3)²) = √((10)² + (5)²) = √(100 + 25) = √125 = 5√5
Since P partitions AB with the ratio 1 to 5, the distance from A to P is 1/6 of the distance from A to B, which is (1/6) * (5√5) = √5
To find the coordinates of P, we will use this distance and the direction from A to B to find the coordinates of P.
The direction from A to B is:
(1 - (-9))/(8 - 3) = 10/5 = 2
So, the slope of line AB is 2. Therefore, the slope of line AP is -1/2 (perpendicular to AB)
We know that A = (-9, 3) and the slope of line AP = -1/2. We can use this to find the equation of the line AP:
y - 3 = -1/2(x + 9)
y = -1/2x - 3/2 + 3
y = -1/2x + 3/2
Since the point A is on the line, we can substitute the coordinates of A into the equation:
3 = -1/2*(-9) + 3/2
3 = 4.5
This is not true, so we can say that the equation is wrong.
To find the equation of line AP, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
So, the equation of line AP is:
y - 3 = -1/2(x + 9)
Now we know that the point P is on the line AP and the distance from A to P is √5.
We can use this information to find the coordinates of P by moving along the line AP by √5 units in the direction of P.
To move in the direction of P, we need to move parallel to the line, which means we need to keep the slope of the line same.
So we can move
Step-by-step explanation:
Determine the intercepts of the line. Do not round your answers. -6x+3y=-7−6x+3y=−7
For the equation -6x + 3y = -7 , the x-intercept and y-intercept is obtained as (1.167,0) and (0,-2.333) respectively.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation is -
-6x + 3y = -7
To find the x-intercept, substitute the value of y = 0.
-6x + 3(0) = -7
-6x + 0 = -7
-6x = -7
Use the arithmetic operation of division -
x = -7/-6
x = 1.167
To find the y-intercept, substitute the value of x = 0.
-6(0) + 3y = -7
0 + 3y = -7
3y = -7
Use the arithmetic operation of division -
y = -7/3
y = -2.333
So, the x-intercept is obtained as x = 1.167 and y-intercept is obtained as y = -2.333.
A graph can also be plotted to find the intercepts.
Therefore, the intercepts are x = 1.167 and y = -2.333.
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Please help with 11!!!
Answer:
Equation 1: (500×5)+75
Equation 2: (20×5)×7
Total Revenue: $1,875
Step-by-step explanation:
For equation 1 we multiply the companys $500 an hour flat rate by the number of hours the party was (5), then add the company's $75 set up fee for a total of $2,575.
For equation 2 we multiply the company's hourly pay (20) by the number of hours worked (5), after that we multiply the number of employees (7) for a total of $700.
Finally to figure out the actual revenue from the event we subtract the amount the company paid the employees ($700) from the total paycheck for hosting the party ($2,575) for a final total of $1,875.
Ryan earn $5 for each mall dog he walk and $8 for each large dog he walk. Today he walked dog and made a total of $49. How many mall dog did Ryan walk?
Ryan walked _______ blank mall dog
The values of x and y in the equations are 3 and 5. Thus, Ryan walked 3 small dogs.
Let L be a giant dog and s be a tiny dog. What we do know is this:
s + L = 9 (9 dogs walked) (9 dogs walked)
(Money received from walking dogs is $51; 5s + 8L = 51)
To address a problem, we can employ substitution or elimination. I'll substitute in this situation (remove L from both sides):
s = 9 - L
5(9 - L) + 8L = 51
Distribute
45 - 5L + 8L = 51
45 + 3L = 51
Subtract 45:
3L = 6
Divide by 3:
L = 2
s = 9 - 2
s = 7
check:
5 * 7 + 8 * 2 = 51
35 + 16 = 51
51 = 51
The values of x and y in the equations are 3 and 5. Thus, Ryan walked 3 small dogs.
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PLS HELP ITS DUE TODAY!!
8. Explain how you can show that KL congruent to HJ.
Step-by-step explanation:
First you show that the triangles are congruent.
Then you show that the segments are congruent by CPCTC (Corresponding parts of congruent triangles are congruent.)
Given:
Segment KM is congruent to segment JM
<L is congruent to <H
We now have 1 pair of sides and 1 pair of angles that are congruent.
Angles KML and JMH are vertical angles, so they are congruent.
Now we have 2 pairs of congruent angles and 1 pair of not included congruent sides.
By AAS, triangle KML is congruent to triangle JMH.
By CPCTC, segment KL is congruent to segment HJ.
