I need help and how you got that answer

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.

Answer: \(f^{-1} (x) = \sqrt{x} +1\)

Step-by-step explanation:

\(y = x^2 - 2x + 1\)

We know straight away the inverse will be a square root function. We also know that this inverse will have a restriction on the domain, (because you can only take the square root of a positive number).

So, to find the inverse, first we'll switch the x and y and solve for y:

\(x = y^2 - 2y +1\)

\(x = (y-1)^2\), (factor!)

±\(\sqrt{x} = y - 1\)

So, the inverse "function" is:

\(f^-1(x)\) = ±\(\sqrt{x} +1\)

But theres an issue here!

If we tried graphing this, this "function" would not pass the vertical line test, so its not really a function at all!

We need to restrict the domain to only include the values that are above the x axis.

So our final inverse function is:

\(f^{-1} (x) = \sqrt{x} +1\)

Answer:

(4, -3)

Step-by-step explanation:

To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.

Answer:

$27.69

Step-by-step explanation:

Given

Monthly budget (See attachment)

\(Month = 4\ weeks\)

\(Week = 40 \ hour\)

Required

Determine the closest hourly wage

From the attachment, the monthly budget is:

\(Budget = \$ 4430\)

First, we calculate the closest weekly earnings.

Since a month = 4 weeks.

Then

\(Weekly\ Earnings = \frac{\$4430}{4}\)

\(Weekly\ Earnings = \$1107.5\)

Next, we calculate the hourly earnings:

Since 1 week = 40 hour

Then

\(Hourly\ Earnings = \frac{\$1107.5}{40}\)

\(Hourly\ Earnings = \$27.6875\)

From the list of options, the closest is: $27.69

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ1

The value of the expression is -4

The cube root of a number can be defined as the factor multiplied by three times by itself  to get that number.

Cube root is represented using the formula, '∛'

From the information given,

c³ = -64

Take the cube root of both sides

∛c³ = ∛ - 64

c = - 4

Thus, the value of the expression is -4

Learn more about cube root here:

https://brainly.com/question/28256285

#SPJ1

Answer:

Triangle ABC has vertices A(0, 0), B(5, 2) and C(7,-3).

Show that ABC is isosceles.

If a triangle has vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) then \(\triangle ABC\) is an isosceles right triangle.

An Isosceles Right Triangle is a right triangle that have two equal sides.

To know whether it is Isosceles Right Triangle or not we will use ,

Distance formula \(= \sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}\)

We have,

Vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) of  \(\triangle ABC\).

So

To find \(AB\) coordinates of \(A\) and \(B\) will be used and so on;

\(AB=\sqrt{(6-(-2))^{2} +(2-4)^2} \ =\sqrt{(8)^2+ (-2)^2} \ = \sqrt{64+4} = \sqrt{68}\)

\(BC=\sqrt{(1-6)^{2} +(-1-2)^2} \ =\sqrt{(-5)^2+ (-3)^2} \ = \sqrt{25+9} = \sqrt{34}\)

\(AC=\sqrt{(1-(-2))^{2} +(-1-4)^2} \ =\sqrt{(3)^2+ (-5)^2} \ = \sqrt{9+25} = \sqrt{34}\)

Here,

\(BC=AC\) which means that two sides of  \(\triangle ABC\)  are equal i.e. it is isosceles triangle.

And,

Using Pythagoras theorem;

\(AC^2+BC^2=AB^2\)

\((\sqrt{34} )^2+(\sqrt{34} )^2=(\sqrt{68} )^2\)

\(34+34=68\)

\(68=68\)

So, this is satisfying the Pythagoras theorem.

So, this is Isosceles Right Triangle because it is satisfying the Pythagoras theorem and property of isosceles triangle..

Hence, we can say that if a triangle has vertices \(A(-2,4), \ B(6,2)\) and \(C(1,-1)\) then \(\triangle ABC\) is an isosceles right triangle.

To know more about Isosceles Right Triangle click here

https://brainly.com/question/3504067

#SPJ3

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

for such more question on radioactive isotope

https://brainly.com/question/20596678

#SPJ8

Answer:

17.5 acres

Step-by-step explanation:

Let the areas of A, B, and C be 2x, 3x, and 5x, respectively,

then 2x = 3.5 acrea, x = 3.5/2 acres

Total area is 2x + 3x + 5x = 10x = 10 * 3.5/2 = 17.5 acres

Answer:

16

$21 ÷ 7 = 3

which means she get $3 each hour she babysit

$48 ÷ 3 =16

Step-by-step explanation:

hope it helps

pls mark me as brainliest I need it

Answer:

The last one

Step-by-step explanation:

-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side

Answer:

-9989799993

Step-by-step explanation:

Put it in a calculator

Ty for points

Answer:

Step-by-step explanation:

-989,799,993

Answer:

the asnwer is 107.8

Step-by-step explanation:

use a calculator jeez

Answer:

107.8

Step-by-step explanation:

not really hard just add 15.4 7 times

There were 172 children and 165 adults admitted to the amusement park.

Given that the admission fee for children is $1.50, so the total amount collected from children is 1.5c.

Similarly, the admission fee for adults is $4, so the total amount collected from adults is 4a.

We are also given that the total number of people admitted to the park is 337, so we can write the following equation based on the number of people:

c + a = 337

The total admission fees collected is $918.

1.5c + 4a = 918

Now we have a system of two equations.

From the first equation, we can express 'c' in terms of 'a':

c = 337 - a

Substituting this value of 'c' into the second equation:

1.5(337 - a) + 4a = 918

505.5 - 1.5a + 4a = 918

2.5a = 918 - 505.5

2.5a = 412.5

a = 412.5 / 2.5

a = 165

Substituting the value of 'a' back into the first equation:

c + 165 = 337

c = 337 - 165

c = 172

Therefore, there were 172 children and 165 adults admitted to the amusement park.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

By using the concept of intercept the method of estimation of intercepts has been described below

What are intercepts?

The distance from the origin to the point where the graph cuts the x axis is the x - intercept of the graph

The distance from the origin to the point where the graph cuts the y axis is the y -  intercept of the graph

There are two intercepts of a graph, x - intercept and y - intercept

x-axis is the horizontal axis and y axis is the vertical axis of the graph

Let the function be y = f(x)

To find x intercept, we have to substitute y = 0 and solve for x

The value of x will give the x intercept

To find y intercept, we have to substitute x = 0 and solve for y

The value of y will give the y intercept.

To learn more about intercepts, refer to the link-

https://brainly.com/question/25722412

#SPJ4

Answer:

The given equation is

\(y=4x+3\)

To graph this equation, we need to create a table for all the coordinates pairs.

 X      Y

 0      3

-3/4    0

So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.

To find the slope, we use those points.

\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4\)

So, the slope is 4.

The angle of inclination is found by the formula

\(tan \theta = m\)

Where \(\theta\) is the angle and \(m\) is the slope.

\(\theta = tan^{-1}(4) \approx 76\°\)

Therefore, the angle of inclination is 76°, approximately.

Answer:

its 2 the negative cancles out

Step-by-step explanation:

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

I am in middle school

Step-by-step explanation:

Answer:

D. 5

Step-by-step explanation:

7 (x + 35) = 280

x + 35 = 280/7

          = 40

x = 40 - 35

  = 5

So it the correct option is D. Sorry I am late!!

Answer:

A

Step-by-step explanation:

Look at the line and wherever the line meets with the miles then find the miles and that's your answer.

If you want to make sure, do "50(mph) * 2(hours)" and it should land on "100"

Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:

Sin(M) = 21/121

Cos(L) = 10/11

Tan(K) = 21/100

In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:

Sinθ = Opposite/Hypotenuse

Sin(M) = KM/ML

Sin(M) = √21/11

Taking the square of both the numerator and denominator, we have:

Sin(M) = (√21)²/11²

Sin(M) = 21/121

For the cosine of an angle in a right-angled triangle, we have:

Cosθ = Adjacent/Hypotenuse

Cos(L) = KL/ML

Cos(L) = 10/11

For the tangent of an angle in a right-angled triangle, we have:

Tanθ = Opposite/Adjacent

Tan(K) = KM/KL

Tan(K) = √21/10

Taking the square of both the numerator and denominator, we have:

Tan(K) = (√21)²/10²

Tan(K) = 21/100

Read more on trigonometric ratio here: brainly.com/question/26964482

#SPJ1

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:the answer is 50

Step-by-step explanation:

75-140=65

65-45=20

75-35=45

45+45=90

30+20=50

In total there are 50 GREEN JOLOS I couldn’t get the answer myself so I sat down and actually wrote the problem out I’m taking a exam so I’ll let you guys know if it’s accurate.

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

To learn more about Linear Equation in Two Variables from the given link

https://brainly.com/question/24085666

#SPJ1

Answer:

7 Artichokes

Step-by-step explanation:

To figure this out, we need to find out how much Vitamin C an average adult needs. We set up a proportion.

\(\frac{9}{15} = \frac{x}{100}\)

\(15x=900\)

\(x=60\)

Now, since each artichoke is worth 9 milligrams, we divide 60 by 9.

\(60/9=6.66666...\)

So, to get the necessary amount of Vitamin C, we round up to 7.

Answer:

1

Step-by-step explanation:

\(\dfrac{\sqrt{12} }{\sqrt{10} }\cdot \dfrac{\sqrt{5} }{\sqrt{6} }=\dfrac{\sqrt{12 \cdot 5} }{\sqrt{10 \cdot 6} }=\dfrac{\sqrt{60} }{\sqrt{60} }=1\)

Answer:

Step-by-step explanation:

1012 ⋅65 = 10⋅612⋅5 = 6060 =1

Step-by-step explanation:

C CARRY ON LEARNING