Answer:
Nick is 6 years old.
Erica is 18 years old.
Step-by-step explanation:
Hello!
We know that Erica is 12 years older than Nick, which also means she is 3 times older than Nick. We can represent this situation as two equations.
Let E be Erica's age, and x be Nick's age.
E = x + 12, and E = x* 3
Since E is equal to E, we can say that x + 12 = 3x.
Solve for xx + 12 = 3x12 = 2x6 = xThe value of x is 6. Nick is 6 years old, and Erica is 18 years old.
A long year-end status report for work is 125 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.66 each.
Answer:
$18.30
Step-by-step explanation:
125 x 18 = 2250
2250/500 = 4.5 (round up to 5)
5 x 3.66 = $18.30
In ΔABC, c = 75 cm, mm∠B=154° and mm∠C=13°. Find the length of a, to the nearest 10th of a centimeter.
The length of a, to the nearest 10th of a centimeter is 18.6 cm.
Give a short note on triangle?A triangle is a three-sided polygon that is defined by three points in a plane, called its vertices. The three sides of a triangle are also called edges, and are connected by three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles, including:
Right triangle: has one angle of 90 degrees.Acute triangle: all three angles are less than 90 degrees.Obtuse triangle: has one angle greater than 90 degrees.Isosceles triangle: has two sides of the same length.Equilateral triangle: has three sides of the same length.Triangles are fundamental in mathematics and are used in many areas such as geometry, trigonometry, and engineering.
In a triangle, the measure of an angle is related to the lengths of the sides opposite and adjacent to it by the formula:
c = a/sin C
Given that c = 75 cm and mm∠C = 13°, we can use this formula to find the length of a:
a = c*sin C
where C is in radians.
a = 75 * sin(13°) = 75 * 0.2225 = 16.7 cm
Also, we know that the sum of the angles in a triangle is always 180°, so we can use that information to find the measure of angle A.
mm∠A = 180 - (mm∠B + mm∠C) = 180 - (154 + 13) = 180 - 167 = 13°
Therefore, using the Law of Sines, we can find the value of a.
[tex]\frac{a}{sin A}[/tex] = [tex]\frac{b}{sin B}[/tex] = [tex]\frac{c}{sin C}[/tex]
a = [tex]\frac{c*sin A}{sin C}[/tex]
a = [tex]\frac{75*sin(13^{0}) }{sin(154^{0}) }[/tex]
Now, you can use a calculator or a table of trigonometric values to find sin(13°) and sin(154°) and substitute them in the above equation to find the length of a. To the nearest tenth of a centimeter, a is approximately 18.6 cm.
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Is the inverse of a square root function a quadratic function?.
The inverse of a square root function looks like a half parabola which resembles the shape same as that of a quadratic function graph but we can not be certain about it.
Square root function graphs are usually curved. The curve above is, in reality, half of a parabola that is laying on its side. It represents half of the parabola that would result from graphing the equation y² = x.
f(x) = ax² + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
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Find the bearing of d from a
Please help!
The bearing of D from A is given as follows:
24º.
How to obtain the bearing of D from A?The bearing of D from A is obtained using the angle addition postulate, which states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.
The angle measures for this problem are given as follows:
x, 166, 15 and 155.
The total of these measures is of 360º, hence the value of x, representing the bearing of D from A, is given as follows:
x + 166 + 15 + 155 = 360
x + 336 = 360
x = 24º.
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Akio draws a graph to record the distance he rides on a long bike ride. What is the slope of the line for the first two hours? What is the slope of the line for all five hours? What does the slope mean in this situation?
Answer:
Below
Step-by-step explanation:
To find the slope of a line, we use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, if Akio recorded the distance he rode on his bike ride in hours, the slope of the line for the first two hours would be the change in the y-coordinates (distance) divided by the change in the x-coordinates (time) between those two points.
To find the slope of the line for all five hours, we will need to know the specific coordinates of all five points, otherwise, it's impossible to calculate the slope.
The slope of a line represents the rate of change in the y-coordinates (distance) per unit of change in the x-coordinates (time). In this situation, the slope represents Akio's speed, since the change in distance is divided by the change in time. A positive slope indicates an increase in distance over time, which means Akio is getting faster, whereas a negative slope indicates a decrease in distance over time, which means Akio is getting slower.
It's worth noting that a slope of zero would mean that there is no change in distance over time, which would mean that Akio isn't moving.
Help, please?? As soon as possible would be appreciated
The definition for the function is b.
What is the definition for the function?In the graph, the left line is a ray.So, when x is 2, left ray cannot get the value as 2 .Thus x <2
The intersection of the outer axis is (0,1) .So the constant term of the equation is 1
Initially, functions represented the idealized relationship between two changing quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable that is, they had a high degree of regularity.To learn more about function, refer:
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How do you explain division to a 7 year old?.
Answer:
Step-by-step explanation:
Give them a fixed number of beads, and tell them to divide them equally between a certain number of tins. Start with showing the child how to divide the beads into two tins, using different numbers of beads each time, then gradually move to dividing by different numbers.
How do you multiply mixed numbers step by step?.
1: Convert the mixed number into an improper fraction.
2: Multiply the numerators and denominators of the two fractions separately.
3: Simplify by eliminating the common factors to get the lowest form of the result.
Now, According to the question:
A mixed number is a whole number and a proper fraction represented together. It generally represents a number between any two whole numbers.
For Example:
[tex]4\frac{1}{2}[/tex] and [tex]3\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] = (4 × 2 +1)/2 = 9/2
[tex]3\frac{1}{3}[/tex] = (3 × 3 + 1)/3 = 10/3
[tex]4\frac{1}{2}[/tex] × [tex]3\frac{1}{3}[/tex] = 9/2 × 10/3 = 90/6 = 15
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Is 4 a real number?.
Yes. 4 is a real number. Real numbers includes both rational number and irrational numbers.
Every Real numbers can be expressed as an infinite decimal expansion. It include integers, natural numbers. Real numbers can be of positive and can be of negative numbers. Real numbers can be both a rational number or a irrational numbers. These two are the main groups of real numbers. Rational numbers can be written as the ratio of two integers. Irrational numbers cannot be written as the ratio of two integers. Irrational numbers are the type of real numbers. The real numbers has the closure property, commutative property, the associative property and the distributive property. This explains the properties of Real numbers.
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Is a triangle 180 or 360?.
Answer:
180° are triangles 360° are circles
Step-by-step explanation:
To the nearest whole degree, what is the measure of Q?
O 44°
O 49⁰
O 54⁰
O 59⁰
Answer: believe it's 49 degrees
Step-by-step explanation:
What is the simplest way of remembering the first three trigonometric ratios?.
You may quickly determine the fundamental trigonometric numbers of the most typical angles by utilizing a trigonometry table or the SOHCAHTOA approach.
Make a new table for trigonometry. Create a table with six rows and six columns. Put the trigonometric ratios in the first column (sine, cosine, tangent, cosecant, secant, and cotangent). Write the usual trigonometric angles (0°, 30°, 45°, 60°, and 90°) in the first column. Leave all of the other table entries blank.
the three basic trig ratios that are used to solve for missing sides and angles in a right triangle. It is defined as follows: SOH: Opposite / Hypotenuse = Sin().
Fill the sine, cosine, and tan values in the appropriate columns.
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How do you satisfy an equation?.
To satisfied the solution of an equation after substituting the value of the variable left hand side value should equals to right hand side value.
As given in the question,
To satisfied the solution of the given equation we need to follow the following steps :
After simplifying the equation get the value of variable.Now. substitute the value of the variable in the left hand side .The value of the left hand side after calculation should be equal to right hand side.If left hand side equals to right hand side the solution satisfied the given equation.Therefore, to satisfied the solution of the given equation left hand side value should be equal to right hand side.
The above question is incomplete , the complete question is :
How do you satisfy the solution of an equation?
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10007 in the expanded form.
Answer:
10,007
Ten thousand seven
Step-by-step explanation:
How many symmetrical lines do they have? (a).[ (b) (c)
*Convert the following statements into equations.*
(a) 3 added to a number is 11
b
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4. (d) 2 times the sum of the number x and 7 is 13.
Answer:
Step-by-step explanation:
Answer:
(a) x + 3 = 11
(b) x - 2 = 15
(c) 3x -2 = 4
(d) 2(x-7) = 13
Step-by-step explanation:
Given:(a) 3 added to a number is 11
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4.
(d) 2 times the sum of the number x and 7 is 13.
Solve:(a) 3 added to a number is 11
Answer : x + 3 = 11
Base on the given it states that 3 added to a number is 11. A number is identified as x. Hence, a number added 3 equal 11.
Hence, x + 3 = 11 is the equation.
(b) 2 subtracted from a number is equal to 15.
Answer : x - 2 = 15
Base on the given 2 subtracted from a number is equal to 15. As known, a number is identified as x. Equal to 15 = Total. Hence, x - 2 = 15.
(c) 3 times a number decreased by 2 is 4.
Answer : 3x - 2 = 4
Base on the given 3 times a number decreased by 2 is 4. As known, a number is identified as x. 3 times is identified as times 3. And decreased is identified as subtract. Hence, 3x-2 = 4 is the equation.
(d) 2 times the sum of the number x and 7 is 13.
Answer : 2( x + 7 ) = 13.
Base on the given 2 times the sum of the number x and 7 is 13. As known, a number is identified as x. 13 is the total. 2 times equals multiply 2. Sum of the number x and 7 meaning is Addition. Sum = Addition. Hence, 2(x+7)=13 is the equation.
RevyBreeze
what the square root of 25
Answer:
Step-by-step explanation:
It's obvious 5x5=25
Therefore, the square root of 25 is 5.
Choose the expression that is equivalent to the expression shown below. n/4+n/4+n/4+n/4
The expression that is equivalent to the expression n/4+n/4+n/4+n/4 is,
⇒ n
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The expression is,
⇒ n/4 + n/4 + n/4 + n/4
Now, We can simplify the expression as;
⇒ n/4 + n/4 + n/4 + n/4
⇒ (n + n + n + n) / 4
⇒ 4n/4
⇒ n
Thus, The expression is equivalent to n.
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What is a triangle with 3 60 degree angles called?.
Answer: acute triangle
Step-by-step explanation: acute triangle are also known as equilateral triangle, meaning all sides are equal. This also makes it equiangular (angle measurement are 60 degrees). Remember triangle ALWAYS add up to 180 degrees.
Calculate the average speed of a train that travels 500km in 4 hours
Answer:
125 km per hour
Step-by-step explanation:
divide 500 by 4 to find the averge
Answer:
[tex] \sf \: 125km/hr[/tex]
Step-by-step explanation:
Average speed = [tex] \sf \: \frac{distance \: travelled}{time \: taken} [/tex]
Ave. speed = [tex] \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} [/tex]
Hence, the average spred is 125km/h respectively.
What is also called Avogadro's number?.
The numerical value of both the mole and Avagadro’s number is 6.022 x 10²³. That is why the mole is also called Avogadro's number.
The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)
So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A
atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.
We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).
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Rachel jut old her home and paid $18,427 in cloing cot. Her brokerage fee, which i included in that figure, wa 6%. She netted $230,063. What were her non-brokerage fee-related cloing cot? Round to the nearet dollar
Rachel's non-brokerage fee-related closing costs can be calculated by subtracting the brokerage fee from her total closing costs.
Since the brokerage fee was 6%, the fee comes out to be $1,105.20. To calculate the non-brokerage-related closing costs, subtract $1,105.20 from the total closing costs of $18,427, which yields a total of $17,321.80.
18427-1105.20=17321.80
This is the amount of non-brokerage fee-related closing costs that Rachel paid for her home. Rachel's net gain from the sale of her home was $230,063, which is the difference between the sale price of her home and the total closing costs, including the brokerage fee.
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Are 1 4 and 2 8 equivalent fractions?.
Yes, 1/4 and 2/8 equivalent fractions.
Mathematical fractions that have the same denominator but different numerators are called equivalent fractions. As an illustration, since 2/4 and 3/6 both equal 1, they are both comparable fractions. The total is divided into fractions. When referring to identical components of the total, equivalent fractions are utilized.
By multiplying the numerator and denominator by the same integer, it is possible to determine the equivalent fraction of each fraction. In spite of differences in appearance, equivalent fractions signify the same value. For instance, if you take one piece of cake, divide it into two equal pieces, and then eat one of them, you will have consumed half of the cake.
= 1/4 = 2/8
= 1/4 = 1/4
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Correct Question:
Are 1/4 and 2/8 equivalent fractions?.
To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $7.30 per hour. The history club wants to spend less than $92.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use for the number of hours the meeting room is rented, and solve your inequality for .
Answer:
Step-by-step explanation:
first we subtract 92.1 from 41 which gives us 51.1 now we want to see how many hours we can keep the room for while staying under 91.1 so we divide the value of 51.1(as we have to first pay the fee of $41) by 7.3 as that is the amount they are charging per hour(51.1/7.3) which gives us 7 so we can rent the roof for 7 hours max or just for 1,2,3,4,5 or 6 hours
Help Please, Also give steps.
The altitude of the right triangle is as follows:
BD = √330 units
How to find the sides of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
ΔABC is a right angle triangle with altitude BD drawn to the hypotenuse AC. Therefore,
AD = 15 units
DC = 22 units
The length of BD in the simplest form can be found as follows:
Using similar triangle,
Hence,
let
BD = x
15 / x = x / 22
cross multiply
x² = 22 × 15
x² = 330
x = √330
Therefore,
BD = √330 units
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What i the total cot of 1. 8 cubic yard of oil if it ell for $17 per cubic yard ?
The total cost of 1.8 cubic yards of oil at $17 per cubic yard would be $30.6.
Cost of Oil CalculationThis can be calculated by multiplying the number of cubic yards (1.8) by the cost per cubic yard ($17).
1.8 × 17 = $30.6
The calculation I provided is a basic mathematical concept of multiplying a quantity (1.8 cubic yards) by a unit price ($17 per cubic yard) to find the total cost. This is a fundamental concept in mathematics, specifically in the field of arithmetic, which deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division.
Arithmetic is a branch of mathematics that deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division. The formula 1.8 cubic yards x $17 per cubic yard = $30.6 is an example of multiplying a quantity by a unit price which is an arithmetic operation. This operation is used to find the total cost of a specific quantity of a product or material that is sold by volume.
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Paulo's pizzeria sells personal pizzas that start at $7 for plain cheese. The pizzeria also offers a variety of toppings, all priced at $1 each. Write an equation that shows how the price of a personal pizza, y, depends on the number of toppings, x.
The equation that shows how the price of a personal pizza y depends on the number of toppings x is y = 7 + x.
The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:
Equation : y = mx + c
where:
m = Gradient
c = Slope of the line
The equation that shows how the price of a personal pizza y, depends on the number of toppings x is y = 7 + x
This question can be solved and represented using the equation of a straight line.
Let's represent
y = price of a personal pizza
x = number of toppings
The price for a plain cheese pizza = $7
The price for each of the toppings = $1
Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x is written as:
y = $7 + $1 × x
y = 7 + x
Therefore, y = 7 + x is the equation represents the relationship between the price of a personal pizza and the amount of toppings.
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What does a square have in common with a rectangle?
Each squares and rectangles are a form of quadrilateral, with four inner angles that are both 90 degrees, and opposite sides that are parallel to one another.
Are a square and a rectangle usually similar?
As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
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asap need this
will name brainliest
Therefore , light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.
Equation: What is it?In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many quantitative variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 and b + 6 into 2 halves within the equation y + 6 = 12. It is possible to calculate how many expression words each edge of a symbol represents. The meaning of a symbol usually contradicts itself.
Here,
It is important to understand that the function Corey wrote is:
=>y = (x + 8)(x - 2) (x - 2)
=> y = x² - 2x + 8x - 16
=> y = x² + 6x - 16
Kimberly spelled out y = x + 6x - 16
Joshua spelled out (x + 3)² - 25.
=> (x + 3)(x + 3) - 25
=> x² + 3x + 3x + 9 - 25
=> x² + 6x - 16
In light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.
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Which of the following uses the reciprocal property to rewrite
x/6 = 28/3?
Answer:
6/x = 3/28
Step-by-step explanation:
