In the last basketball game, the ratio of baskets made to the total shots taken was 4:7 and if the team shot a total of 56 baskets in the game then the total basket they made is 40.
The ratio is 4:7, this means that for every 7 shots taken, 4 of them were made. If the team shot a total of 56 shots in the last game, then they made
(4/7) ×56 = 40 baskets.
This calculation can be broken down into simpler terms. For every 7 shots, 4 shots were made. Therefore, for 56 shots, 40 shots were made. Therefore, the team made 40 baskets in the last game.
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I need some help on this question
The value of x is 39 and the values of angle m1 and m2 is 63 and 117. We can solve the question using linear pair.
What is linear pair?
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear pair. A linear pair's angles add up to 180° in every case. These angles are additionally referred to as. Angles with a shared vertex are those that are adjacent.
Therefore, the linear angles also have a common vertex in this instance.
Additionally, a common arm that symbolizes both angles will be present.
A ladder against a wall that creates linear angles at the ground is an example of a linear pair in real life. One who is straight is represented by linearity.
Using linear pair, we have equation
m1 +m2 = 180
x+24 +3x = 180
4x = 156
x = 39
Then the values of m1 =x +24 = 64
m2 = 3x = 117
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Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?
The angle measure of m∠B = 24°.
Two angles are supplementary.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
Two angles are supplementary.
The m∠A is five times the sum of the m∠B plus 7.2°.
That means,
5(B + 7.2) + B = 180
6B = 180 - 36
B = 24.
Therefore, the angle measures of m∠B = 24°.
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Equations with variables on both sides
Solve for f.
−ƒ +2 +4ƒ = 8 – 3ƒ
Eddie and Ellen use a calculator to work out
Eddie's answer is 1.5
Ellen's answer is 15
One of those answers is correct.
431.1/ 14.3 +3.8²2
Use approximations to find out which answer is correct.
Answer: 14.3 times 1.5 equals 55.
Step-by-step explanation: multiplication can be used to solve the equation
Is Y =- 3 a horizontal line?.
So, Y = -3 is not a horizontal line but a vertical line.
A horizontal line is a line that runs along the x-axis and has a constant y-value. In the equation of a line, y = mx + b, a horizontal line has a slope of zero (m = 0) and a y-intercept of the constant value (b = constant).
The equation Y = -3 is not a horizontal line. This is an equation of a vertical line, which is a line that runs along the y-axis and has a constant x-value. In this case, the constant x value is -3.
A vertical line has no slope since it does not change in the x direction. The x-value is constant, which means the slope is undefined.
In a graph, a horizontal line can be represented by a straight line that is parallel to the x-axis, while a vertical line is represented by a straight line that is parallel to the y-axis.
To summarize, Y = -3 is not a horizontal line but a vertical line, which means that all the points on this line have the same x-coordinate (-3) and can take any value for y.
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c = 21 km, a = 18 km, m B = 121° Find b
The value of the side b of the triangle is 33.8.
What is the sine angle rule?The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c." In order to determine the triangle's unknown lengths or angles, we apply the sine rule.
Given that the sides and angles are c = 21 km, a = 18 km, mB = 121°. The value of the side b will be calculated as,
b² = c² + a² -2accosB
b² = ( 21² ) + ( 18 )² - 2 x 21 x 18 x cos(121)
b² = 441 + 324 _ ( 756 x -0.5 )
b² = 441 + 324 + 378
b = √ ( 1143 )
b = 33.8
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How do you sketch the graph of a function of two variables?.
A two-variable function's graph can be thought of as a surface in three dimensions.
The points (x, y, f(x, y)) where x and y are in the domain make up the graph of z=f(x, y). You can fine-tune the shape of the surface by drawing the curve k=f(x, y) in the plane z=k for different values of k. For instance, we're trying to comprehend the graph of z=f(x, y)=x2+y2. Keep in mind that k=f(x, y) is a circle for k>0 and since 0=x2+y2 implies that x=y=0.
Additionally, it is symmetric in relation to the z axis. We have a parabola for x=k or y=k. As a result, the graph represents the revolution of the parabola z=x2 over the z axis (see Thomas, math).
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Which angle in triangle ABC has the largest measure?
The angle with the largest measure is opposite the longest side. So the angle in triangle ABC has the largest measure is b) B.
About triangleA triangle is a geometric shape that has three vertices and three sides. The sides of a triangle are line segments of three different line segments. Meanwhile, the angles in a triangle are the intersections of two line segments that intersect at one point. Between the length and the size of the angle in a triangle has a proportional relationship, the greater the angle in the triangle, the longer the side opposite the angle.
Types of triangles include many different shapes but still have parts consisting of three sides and three angles. These types of triangles include equilateral triangles, isosceles triangles, arbitrary triangles, right triangles, obtuse triangles, and acute triangles.
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The Tanners are installing a rectangular pool in their back yard. They are also enclosing the yard and pool with a fence and the back of their house. See the figure below. What is the minimum number of feet of fencing needed to enclose the yard?
He need a fence that is 54 feet long.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Area of rectangle is A = a*b
Consider the length to be 40 feet, which is how long one side of the yard is known to be. The yard's size is 280 square feet, as you are already aware. Knowing the yard's width is necessary in order to calculate the perimeter:
A = LW
W= 280/40 = 7 feet
The two 7-foot sides and one 40-foot side are fenced in by him . He,
therefore, He needs a fence that is 54 feet long.
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Ticket will cot $24. 00 per peron and there i one-time $12 group regitration fee. Write and expreion for the cot of the whole group if there i going to be p people going
The cost of the whole group would be: (24 * p) + 12 or 24p + 12.
The cost of a group of peopleThe expression (24 * p) + 12 represents the total cost of the group. The "24 * p" part represents the cost of the individual tickets, with "p" representing the number of people in the group. The "12" represents the one-time group registration fee. The expression calculates the total cost by multiplying the number of people in the group by the cost of an individual ticket, and then adding the group registration fee to that total.
Specifically, the operation being used is arithmetic, specifically multiplication and addition. The expression provided is used to calculate the total cost for a group by multiplying the number of people in the group by the cost of an individual ticket and then adding the group registration fee to that total. This is a basic mathematical operation that is a part of arithmetic.
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Why is 36 not a perfect square?.
Yes, 36 is a perfect square because 36 = 2² × 3², all numbers are in the power of two. This means that the square root of 36 is a positive integer. Therefore, 36 is a perfect square.
Perfect squares are special numbers in mathematics that have a pair of integer factors that are equal to each other. A number N is called a perfect square if it is equas to product of number, x with itself. Formula for perfect square,
N = x²
this implies that if N is equals to second power of a whole number then N is called perfect squares. We have, N = 36 and we have to check that it is perfect square or not. For this, firstly determine the prime factors of 36, that is 36 = 2× 2× 3 × 3 . Now, 36 = 2² × 3² = 6² ( since, 2 and 3 are prime numbers, a²×b² = (ab)² ). Therefore, 36 is equals to square of whole number 6. So, 36 is perfect square.
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Complete question:
Why is 36 a perfect square? or Is 36 a perfect squares?
How do you find the partial sums rule?.
Partial sum rule is calculated by Sn=∑ni=1ai=n(a1+an)2.
A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit.
A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums.
When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.
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Which of the following points would be on the line x=7
Answer:
Step-by-step explanation:
You haven’t given the points mentioned. (-4 6) is a point on the line. slope-intercept equation of the line: y=7x+34 (0,34) is a point on the line.
Helpppp please..
Solve the system of linear equations by graphing
y=-x+7
y=x+1
Answer: (3, 4)
Step-by-step explanation: Hello! To do this, you have to substitute one of the equations into the other. You know that in the first equation, y = -x + 7. Substitute -x+7 for y in the second equation. You now have -x + 7 = x + 1. Add x to both sides of the equation. -x + 7 + x = x + x + 1. You now have 7 = 2x + 1. Subtract 1 from both sides of the equation. You now have 6 = 2x. Divide both sides of the equation by 2. You now have 3 = x. The x-coordinate of where both linear equations intersect is 3. (3, y).
You now have to solve for the y-coordinate. To do this, look at your given equations. Subtract 2 from both sides of the second equation. You now have y - 1 = x. Substitute y-1 for x in the first equation. You now have y = -(y - 1) + 7. Simplify to get y = -y + 1 + 7. Add y to both sides of the equation. y + y = -y + y + 1 + 7. You now have 2y = 1 + 7. Add 1 + 7 to get 2y = 8. Divide both sides by 2 to get y = 4. You now know that the x-coordinate where both linear equations intersect is 3, and you know that the y-coordinate where both linear equations intersect is 4. Your answer is in the format of (x, y), which is (3, 4).
If p(x) = x² + 2√2x + 1, find p(2√2)
Answer: p(2√2) = 17
Step-by-step explanation:
Given,
p(x) = x² + 2√2x + 1....(i)
To find p(2√2) , we need to substitute x=2√2 in the given equation
p(2√2) = (2√2)² + 2√2(2√2) + 1
= 8 + 8 + 1
= 17
So p(2√2) is 17
Answer: 17
Step-by-step explanation:
[tex]P(x) = x^{2} + 2\sqrt2x + 1[/tex]
[tex]P (2\sqrt{2}) = 2\sqrt{2})^2 + 2\sqrt{2}*2\sqrt{2} + 1[/tex]
[tex]P (2\sqrt{2}) = 8 + 8 + 1[/tex]
[tex]P (2\sqrt{2}) = 17[/tex]
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For what value of a the distance between the points 2 3 and 5 A is equal to 5?.
For a = 1 and a = -7, the distance between the points (2, -3) and (5, a) is equal to 5.
As we know according to the distance formula the distance between points (x₁, y₁) and (x₂, y₂) is given by,
[tex]d = \sqrt{[(x_2 - x_1)^2 + (y_2 - y_1)^2]}[/tex]
Here we have been given the distance between the points (2, -3) and (5, a)
Let us assume that (x₁, y₁) = (2, -3)
and (x₂, y₂) = (5, a)
Let d represents the distance between points (2, -3) and (5, a)
here d = 5 units
Using above distance formula,
[tex]\Rightarrow d = \sqrt{[(x_2 - x_1)^2 + (y_2 - y_1)^2]}\\\\\Rightarrow 5 = \sqrt{(5 - 2)^2 + (a -(- 3))^2}\\\\\Rightarrow 5 = \sqrt{(3)^2 + (a+3)^2}\\\\\Rightarrow 5^2=(3)^2 + (a+3)^2\\\\\Rightarrow 25=9+(a+3)^2\\\\\Rightarrow (a+3)^2=16\\\\\Rightarrow a+3=\pm 4[/tex]
⇒ a + 3 = 4 OR a + 3 = -4
⇒ a = 4 - 3 OR a = -4 - 3
⇒ a = 1 OR a = -7
Therefore, the values of 'a' are 1, -7
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The complete question is
For what value of a the distance between the points (2, -3) and (5, a) is equal to 5?.
Find a principal which will amount to Rs.2000 in 6 years 8 months at the rate of interest 5% per annum.
Answer:
1449.28
Step-by-step explanation:
To find the principal amount that will amount to Rs. 2000 in 6 years 8 months at a 5% interest rate per annum, we can use the formula for compound interest:
A = P (1 + r/n)^(nt)
Where:
A = final amount
P = principal (the amount we are trying to find)
r = interest rate per annum (in decimal form)
n = number of times interest is compounded per year
t = time in years
In this case, the final amount is Rs. 2000, the interest rate is 5% per annum (or 0.05 in decimal form), the number of times interest is compounded per year is 1 (since the interest is compounded annually), and the time is 6 years 8 months (or 6.67 years in decimal form).So we can substitute these values into the formula and solve for P:
2000 = P (1 + 0.05)^(1 * 6.67)
To solve this equation, we can use a calculator or a spreadsheet to calculate the right side of the equation: (1+0.05)^6.67 = 1.382000 = P * 1.38
P = 2000/1.38
P = 1449.28
The principal amount that will amount to Rs. 2000 in 6 years 8 months at a rate of interest of 5% per annum is Rs. 1281.97.
The principal amount (P) that will amount to Rs. 2000 in 6 years 8 months at the rate of interest of 5% per annum can be calculated using the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal
r = rate of interest (5% per annum = 0.05)
n = number of times the interest is compounded per year (e.g. annually, semi-annually, quarterly)
t = time in years (6.67 years = 6 years 8 months)
Let's assume n = 12 (monthly compounding)
Substituting the values into the formula, we get:
2000 = P(1 + 0.05/12)^(12*6.67)
(To solve for P, we can divide both sides of the equation by the right side of the equation)
P = 2000 / (1 + 0.05/12)^(12*6.67)
P ≈ Rs. 1281.97
Therefore, the principal amount that will amount to Rs. 2000 in 6 years 8 months at a rate of interest of 5% per annum is Rs. 1281.97
It's important to note that this calculation is based on the assumption that the interest is compounded monthly, if the interest is compounded annually or semi-annually the amount will be different.
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¿Cuáles son las medidas de un cilindro (altura, radio) si su volumen es 500 cm3
The dimensions of the cylinder are -
{r} = √500/πh
{h} = (500/r²)
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the volume of the cylinder as -
V = 500 cm³
We can write -
V = 500
So, we can write -
πr²h = 500
So, we can write -
{r} = √500/πh
{h} = (500/r²)
Therefore, the dimensions of the cylinder are -
{r} = √500/πh
{h} = (500/r²)
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{Question in english -
What are the measurements of a cylinder (height, radius) if its volume is 500 cm3}
100 points
What is the equation for the line in slope-intercept form?
Answer: The answer would be y = −4x − 5
Step-by-step explanation: I hope this helps!
What would determine the value of Edubucks?
The value of Edubucks would be determined by a variety of factors, including:
supply and demand, the overall economic environment, and any news or events related to the company or the education industry as a whole.Additionally, speculation and sentiment could also play a role in determining the value of Edubucks.
What is an Edubucks?Edubucks is a virtual currency created by the educational platform Edmodo. It is used to reward students for completing tasks and participating in activities on the platform.
Also, Edubucks could also be described as the virtual currency created to motivate or compensate the effort made on certain task done by students which is meant to boost their morales and aid their eagerness to doing more.
Therefore, the correct answer is as given above
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can someone explain how 1x-0.30x=0.7x
i just need an explanation ty
Answer:
See attached
Step-by-step explanation:
You can write 1 as 1.00 then line up the decimals with0.30 and subtract. The answer will be .7 or 0.7. They mean the same thing.
15 In the circle, AD = 100, & AD = 99. Find∢DCQ. (The figure is not drawn to scale.)
a. 31
b. 161
c. 62
d. 80.5
The value of m∠DCQ is 31°.
What is a measure of an angle?
An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Here, we have
Given: mAD = 100, & m∠D = 99.
First, we find the measure of arc ABC
we know that
The inscribed angle is half that of the arc it comprises
so
m∠D = (1/2)[arc ABC]
we have
m∠D = 99°
substitute and solve for arc ABC
99° = (1/2)[arc ABC]
198° = [arc ABC]
Now, we find the measure of arc DC
we know that
arc ABC+arc AD+arc DC = 360° -----< by complete circle
substitute the given values
198°+100°+arc DC = 360°
arc DC = 360°-298°
arc DC = 62°
Now, we find the measure of angle DCQ
we know that
The inscribed angle is half that of the arc it comprises
so
m∠DCQ = (1/2)[arc DC]
we have
arc DC = 62°
substitute
m∠DCQ = (1/2)[62°] = 31°
Hence, the value of m∠DCQ is 31°.
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Jack bought 25 yard of fabric for $75. How much would 96 yard of the ame fabric cot? What i the rate of the fabric per yard?
96 yards of the same fabric would cost 288$ and the rate of the fabric per yard is 3$
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
No. yards = 25 yardsTotal cost = $75No. yards 2 = 96 yardsCost (96 yards) = ?Rate = ?Calculating the rate of the fabric per yard we have:
Rate = total cost / No. yards
Rate = $75 / 25 yard
Rate = $3 per yard
Calculating the amount of dollars paid for 96 yards:
Cost (96 yards) = No. yards 2 * Rate
Cost (96 yards) = 96 yards * 3$/ yard
Cost (96 yards) = 288$
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how to find the zeros and multiplicity of a polynomial
If a polynomial function can be factored, you can factor it and set each component's value to zero to find its zeros.
What is polynomial?A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x. Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable). A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable. A polynomial with an exponent of 1 is, for instance, 2x+5.If a polynomial function can be factored, you can factor it and set each component's value to zero to find its zeros. Finding the places at which the graph of a polynomial function crosses the x-axis is another method for locating its x-intercepts.To learn more about polynomial refer to:
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Phill baked two kind of pie. Each pie pan wa the ame ize. He erved 1/2 of blueberry and 1/4 of apple pie. If each pie had 8 piece to tart what fraction in eighth of the apple pie did he erve? how many more piece of the blueberry pie than apple did he erve
[tex]\frac{2}{8}[/tex] fraction of the apple pie was served.
Two more pieces of the blueberry pie were served than the apple pieces.
Given that,
Both blueberry pie and apple pie were divided into 8 equal parts each.
To compute the fraction in eights of apple pie, we do a multiplication of the current fraction with 8 parts:
1 apple pie=8 pieces of apple pie
1/4 apple pie = [tex]\frac{1}{4}[/tex] * 8 pieces of apple pie = 2 pieces of apple pie.
1 blueberry pie=8 pieces of blueberry pie.
1/2 blueberry pie = [tex]\frac{1}{2}[/tex] * 8 pieces of blueberry pie = 4 pieces of apple pie.
Thus. 1/4 apple pie is 2 pieces out of 8 pieces of apple pie or written as [tex]\frac{2}{8}[/tex] a fraction of apple pie.
And they served blueberry pies are 4 pieces but served apple pies are 2 pieces, thus the count of pieces of blueberry pie is 2 more than the count of pieces of apple pie served.
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The difference between three times a number and four is seventeen
Please help, 25 points.
Answer:
Elena's calculator is not broken.
Step-by-step explanation:
0.06 x 0.5
You can also do this by ignoring the decimals and multiplying normally.
6 x 5 = 30
Then you you count the decimal places and start at the end of your product and move the number of decimal places to the left.
0.030 or 0.03
Draw a Venn Diagram to show the following categorical data.Hint: all 30 countin be listed neatly in your Venn Diagram
a. Counting numbers 0 ≤ n ≤ 30 that have 2 as a factor.
b. Counting numbers 0 ≤ n ≤ 30 that have 3 as a factor.
The required Venn diagram for the given condition has been shown.
What is a Venn diagram?A Venn diagram is a graphical representation of the relationship between sets or groups of items. It consists of overlapping circles, each representing a different set, with the overlapping areas showing the items that belong to both sets.
Here,
U = 0 ≤ n ≤ 30
A = 2 ≤ n ≤ 30 [multiple of 2]
B = 3 ≤ n ≤ 30 multiple of 3
From above, the rectangle represents the universal set u, and the circle represents the two subsets A and B.
Thus, the required Venn diagram for the given condition has been shown.
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Mitchell and his friends go out to eat at Perfect Slice Pizzeria.They order to large pizzas to share.Each large pizzas has 16 slices.Mitchell and friends split it between the 8 of them
The slices that each person gets from the 16 slices of pizza will be 2 slices.
How to calculate the word problem?It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this case, Mitchell and his friends go out to eat at Perfect Slice Pizzeria and order to large pizzas that has 16 slices.
The slices that each person gets from the 16 slices of pizza will be:
= 16 / 8.
= 2 slices.
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Complete question
Mitchell and his friends go out to eat at Perfect Slice Pizzeria.They order to large pizzas to share.Each large pizzas has 16 slices.Mitchell and friends split it between the 8 of them. How many slices will each person get?
For what value of k do the equations kx 2y 3 and 3x y 5 represent two lines intersecting at a unique point?.
The equations kx – 2y = 3 and 3x + y = 5 will have a unique solution for k ∈ R - {-6}
Here we have equations kx – 2y = 3 and 3x + y = 5
Here we need to find a value for k such that the following equations have a unique solution.
a system of 2 linear equations
a₁x + a₂y + a₃ = 0
b₁x + b₂y + b₃ = 0
does not have a unique solution only when
a₁/b₁ ≠ a₂/b₂
Here
k = a₁, -2 = a₂
3 = b₁ 1 = b₂
Hence,
k/3 ≠ -2
or, k ≠ -6
Hence the equations will have a unique solution for k ∈ R - {-6}
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Complete Question
For what value of k do the equations kx – 2y = 3 and 3x + y = 5 represent two lines intersecting at a unique point?
