The two **examples** given in the question are therefore resolved, and the correct** percentages** are also computed.

Given:

Popperville is split into an east and a west side by Broad Street. 20% of the kids on Popperville's east side are eligible for free or reduced-price lunches. 30% of the kids on Popperville's west side are eligible for free or reduced-price lunches.

Consider a situation where the west side has 60% and the east side has 40%.

Example Number 1

There are 100 kids on** East **Side.

The 100 kids on **West** Side.

Children who qualify for **reduced-price** lunches at a rate of 20% out of 100

Children who qualify for reduced-price lunches at 30% of the total are 30.

Total percent is 50/200 = 25 %

Example Number 2

There are 200 kids on East Side.

There are 300 kids on West Side.

Children **eligible** for reduced-price lunches: 20% x 200 = 40

Children eligible for reduced-price lunches: 30% x 300 = 90

Total percentage is 130/500 = 26%.

As a result, the two** examples** given in the question are resolved, and the appropriate** percentages **are also computed.

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The area of the base of a prism is 96 square centimeters and the height is 9 centimeters. Find the volume of the prism.288 cm3864 cm3932 cm37776 cm3

Given:

Area of base of the prism, B = 96 square centimeters

Height of prism, H = 9 centimeters

Let's find the volume of the prism.

To find the volume of the prism, apply the formula below:

[tex]V=B\ast H[/tex]Where:

V is the volume in cubic units

B is the area of the base = 96 square centimeters

H is the height = 9 centimeters

Hence, we have:

[tex]\begin{gathered} V=96\ast9 \\ \\ V=864\operatorname{cm}^3 \end{gathered}[/tex]**Therefore, the volume of the prism is **** 864 cubic centimeters **

**ANSWER:**

A rectangle has a length that is 7 less than 4 times the width. The perimeter is 100 in. Find the length and the width.

**Answer:**

136 m

**Step-by-step explanation:**

Let w = the width of the rectangular field.

Let l = the length of the rectangular field.

The formula for the perimeter P of the rectangular field is:

P = 2w + 2l

Since the length l is 7 m less than 4 times the width w, then we can write the following equation that relates l and w:

l = 4w - 7 m

Since l = 4w - 7 and it's given that perimeter P = 136 m, then we can substitute this information into the perimeter formula as follows:

P = 2w + 2l

136 m = 2w + 2(4w - 7 m)

136 m = 2w + 2(4w) - 2(7 m)

136 m = 2w + 8w - 14 m

136 m + 14m = 10w - 14 m + 14 m

150 m = 10w + 0

10w = 150 m

(10w)/10 = 150 m/10

(10/10)w = 150 m/10

(1)w = 15 m

w = 15 m

Therefore, l = 4w - 7 m

l = 4(15 m) - 7 m

l = 60 m - 7m

l = 53 m

CHECK:

P = 2w + 2l

136 m = 2(15 m) + 2(53 m)

136 m = 30 m + 106 m

136 m = 136 m

7x + 4 + 8x + 6. equals

**Answer: **[tex]15x + 10[/tex]

**Step-by-step explanation:**

[tex]7x + 4 + 8x + 6[/tex]

**First you have to combine like terms. You combine like terms by adding them so u would add 7x and 8x and get 15x. Then u would add 4 and 6 and get 10.**

[tex]15x + 10[/tex]

**15x + 10 would be your final answer in simplest form.**

influence of education on south african economy

Children's academic success, literacy, numeracy, and scientific knowledge are all directly impacted by their **schooling.** A child's education in school helps them learn all the **fundamentals **that will benefit them in the future.

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Estimate the average rate of change from x = 4 to x = 7.

The **average rate of change** of the **function** from x = 4 to x = 7 is: -1/3.

The formula used to estimate the **average rate of change** of a **function** is given as:

f(b) - f(a) / b - a.

Given the **function** as shown in the diagram below, we are required to find the **average rate of change** of the **function** within the interval, x = 4 to x = 7, therefore:

a = 4

b = 7

f(a) = f(4) = 4

f(b) = f(7) = 3

To find the **average rate of change** of the given **function** for the interval of x = 4 to 7, substitute the above stated values into the formula for the **average rate of change**, f(b) - f(a) / b - a:

**Average rate of change** = 3 - 4 / 7 - 4

**Average rate of change** = -1/3

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Federal standards require that the angle ramp for the wheel chair to be less than 5 degrees, if the length of the ramp is 20 feet and vertical rise is 15 inches, does it meet federal standards?

**ANSWER:**

The ramp does meet federal standards

**STEP-BY-STEP EXPLANATION:**

The first thing we must do is sketch the situation of the statement in order to better understand it.

Now, we need to convert feet to inches, so they are the same units. We know that 1 foot is equal to 12 inches, so:

1 ft = 12 in

20 ft = 20 ft *12 in/ft = 240 in

Now, we calculate the angle of the ramp by means of the trigonometric sine function that relates the side opposite the angle to the hypotenuse.

Therefore:

[tex]\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \text{ opposite = 15} \\ \text{ hypotenuse = 240} \\ \text{ Replacing} \\ \sin \theta=\frac{15}{240} \\ \theta=\arcsin \mleft(\frac{15}{240}\mright) \\ \theta=3.58\text{\degree} \end{gathered}[/tex]The value of the angle is 3.58°, which is less than 5°, which means that it meets federal standards.

write a paragraph reflecting on the different methods (graphing technology, tables of values, and successive approximation) of solving f(x) =g(x). state which of the three methods you prefer, and explain why.

The three methods that are generally used to solve f(x) =g(x) are **Graphing technology**, Tables of values, and **Successive approximation**.

Determine the exact value of x by replacing the values of x with f(x) and g(x).

The **hit-and-trial** technique is used in f(x) = g(x) to compute the exact value of x by selecting an interval and then substituting the value of x in that **interval**.

This is a bit longer and takes more time.

Graph Technique: Create a graph that contains both f(x) and g(x). The values of x given by these two functions are the same. Some features are difficult to plot, but once plotting is done, the right solution is obtained. The graphics technique is prioritised in determining f(x) = g(x) and x.

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Complete sheet given

**Answer:**

20 hyenas

**Step-by-step explanation:**

locate number of lions 28 on the horizontal axis , then go up vertically to meet the line, then cross horizontally to meet the vertical axis at 20

that is 20 hyenas are contained

the first step in determining the solution to the system of equations, y=-x² - 4x-3 and y= 2x + 5, algebraically isthe two equations equal as -x² - 4x - 3= 2x + 5. What is the next step?et y = 0 in y=-x2 - 4x-3.actor each side of the equation.se substitution to create a one-variable equation.ombine like terms onto one side of the equation.

**Given - **

Equations:

y = -x² - 4x -3 and y = 2x + 5

**To Find - **

Next step =?

**Step-by-Step Explanation - **

We know first step:

-x² - 4x - 3= 2x + 5

-x² - 4x - 3 - 2x - 5 = 0

-x² - 6x - 8 = 0

-(x² + 6x + 8) = 0

x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

x(x+2) +4(x +2) = 0

(x+4)(x+2) = 0

So,

x = -4 or x = -2

So,

The next step is to combine like terms onto one side of the equation.

** Final Answer - **

**Option (d)**

**Combine like terms onto one side of the equation**

jeanscah estimates that 475 songs will fit on her iphone.the actual amount of the songs that fit Is 380.find the percent error.

Data:

Estimate: E= 475 songs

Actual amount: A=380

To find the percent of error you use the next formula:

[tex]\text{error}=\frac{\mleft|E-A\mright|}{A}\cdot100[/tex][tex]\begin{gathered} \text{error}=\frac{\mleft|475-380\mright|}{380}\cdot100 \\ \text{error}=\frac{\mleft|95\mright|}{380}\cdot100 \\ \text{error}=0.25\cdot100 \\ \text{error}=25 \end{gathered}[/tex]Then, the percent error is 25%1 cm plus what equals 100cm

**Answer:99cm.l**

**Step-by-step explanation:100-1**

**100-1=99**

**So then the answer is 99, because 99+1 is also equal to 100.**

**And if you subtract 1 from 100, you get 99.**

**Answer: **99cm

**Step-by-step explanation:**

1cm + x = 100cm

100cm - 1cm = x**Which means, **99cm is the correct answer.

Select the correct answer.

What is the simplest form of this expression?

x-3/x-1 + 6/x-3

A. x²+12x+15 / (x-1)(x-3)

B. x²+3 / (x-1)(x-3)

C. x+3 / (x-1)(x-3)

D. x²-6x+3 / (x-1)(x-3)

x² + 3 / (x-1)(x-3) is ** **simplest** form **of the given** expression **

Given: x-3/x-1 + 6/x-3

First, find the **LCM** of x-1 and x-3. The LCM is c

(x-3)(x-3) + 6(x-1) / (x-1)(x-3)

Remove the bracket of the **numerator**

x² - 6x + 9 + 6x - 6 / (x-1)(x-3)

Add and **subtract** like terms

x² + 3 / (x-1)(x-3)

Therefore, the **expression** has the **simplest form** of x² + 3 / (x-1)(x-3). This shows the concept of expression.

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the equilateral triangle has a side length of 14. find the area of the triangle. round to the nearest tenth.

Answer: 85

To solve this, we need to calculate the height of the triangle. To do this, we divide the triangle verticaly, in two right triangles.

So, we have the hypotenuse of the two smaller triangles is 14. The short leg is half the side of the big triangle: 14/2=7 and the long leg is the height of the triangle and what we want to know.

By the pythagorean theorem:

[tex]14^2=7^2+x^2[/tex][tex]x=\sqrt[]{14^2-7^2}=7\sqrt[]{3}[/tex]And now we use the formula for the area of a triangle:

[tex]A=\frac{b\cdot h}{2}=\frac{7\cdot7\sqrt[]{3}}{2}=\frac{49\sqrt[]{3}}{2}[/tex]This is the area of each of the smaller triangles. To get the area of the big triangle, we add up the two smaller areas:

[tex]\frac{49\sqrt[]{3}}{2}+\frac{49\sqrt[]{3}}{2}=49\sqrt[]{3}[/tex]rounded to the nearest tenth is 85

A box contains 13 large marbles and 20 small marbles. Each marble is either green or white. 5 of the large marbles are green, and 13 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green? Express your answer as a fraction or a decimal number rounded to four decimal places.

**Answer:**

The probability of selecting a small or white marble is 10/13

Step-by-step explanation:

The total number of marbles is 15 + 11 = 26 marbles

The probability that we want to calculate is if the marble selected is small or white.

So we need to find the number of small marbles as well as the number of white marbles

We can construct a table to see the distribution of the marbles. Please check the attachment for this.

From the table , we can see that there are 11 small marbles and a total of 9 white marbles

The probability of selecting a white marble is;

number of white marbles/total number of marbles = 9/26

The probability of selecting a small marble will be ;

number of small marbles/total number of marbles = 11/26

In probability, whenever we have or, we tend to add

So therefore, the probability of selecting a white or small marble = Probability of selecting a white marble + Probability of selecting a small marble

Mathematically, that would be 9/26 + 11/26 = 20/26

So the probability is 10/13

** **

E is located at ( − 6 , − 3 ) (−6,−3) on the coordinate plane. Point E E is reflected over the x x-axis to create point E ′ E ′ . What ordered pair describes the location of E ′ ? E ′ ?

**Answer:**

(-1,-6) --> (1,-6) --> (1,6)

(1,6) is E''

12. The length of time that a particular type of blue cheese will keep in

refrigerator can be modelled by the exponential function

H(T) = 130 (12

T

43.3

where H(T) represents the number of hours after the cheese is p

the refrigerator and T represents the temperature of the refrigerator in

degrees Celsius.

is set at a

The **refrigerator** is to be set at **5 degrees celsius** for the** cheese** to keep for 5 days.

Since we are given the relation for the exponential function

**H(T) = 130 (1/2) ^(T/43.3)**, where H(T) is the number of hours

since we are asked for a **cheese **to keep for** 5 days**, so

H(T)= 5 * 24 = 120 hours

so the equation we will have

=>120 =130 (1/2) ^(T/43.3)

we multiply both sides by 120

=> 12/13= (1/2) ^(T/43.3)

taking logarithms on both sides, we get

=> ln (12/13) = (T/43.3) ln(1/2)

=>43.3 ln (12/13) = T ln (1/2)

dividing both sides by ln (1/2), we get

=> T = 43.3 ln (12/13) / ln (1/2)

=> T= 5.0016

=> T = 5.0 celsius

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The length of time that a particular type of blue cheese will keep in the refrigerator can be modeled by the exponential function H(T) = 130 (1/2) ^(T/43.3) where H(T) represents the number of hours after the cheese is put in the refrigerator and T represents the temperature of the refrigerator in degrees Celsius. If you want the cheese to keep for 5 days, at what temperature should the refrigerator be set ; round your answer to the nearest tenth of a degree.

If f(x) = 2x + 1, find f(1).

**Answer: 3**

**Step-by-step explanation:**

if x = 1 then 2(1) +1 is 2+1 which is 3

f(1) means that in the place of x you plug in 1 and simplify.

[tex]f(1) = 2(1) + 1 \\ f(1) = 2 + 1 \\ f(1) = 3[/tex]

ATTACHED IS THE SOLUTION

Find the perimeter of the figure given to the right. Use the approximation 3.14

To answer this question we will use the following diagram as a reference:

Notice that the perimeter of the given figure is the sum of 2 times the perimeter of the semicircles and 48m, the perimeter of each semicircle is:

[tex]\begin{gathered} P_S=\pi\times radius=6\pi m \\ \approx18.84m. \end{gathered}[/tex]Therefore the perimeter of the given figure is:

[tex]P=2*18.84m+48m=85.68m.[/tex]**Answer:** 85.68m.

HELP PLEASE

Review the objective below, and rate your knowledge of the topic from 0-4, with 0

being the lowest rating and 4 being the highest rating.

"I can factor an expression using the GCF."

0

1

2

3

4

**Answer:**

**Step-by-step explanation:**

**Comment**

Well my response is, I know how it is done and most of the time I get it right, but mistakes make me give myself about a 3.4.

I hope this answers your question. It will likely be taken down.

24 Finding Cylinder Dimensions < Next > 14.2: What's the Dimension? Volume formula for cylinder V=12h The volume of this cylinder with radius 5 units is 50T cubic units. Volume=undefined i cubic unit What does the height of this cylinder have to be? Explain how you know. radius=1.5 unit height:4 unit Submit and Explain height slid radius slid Igal DIN-

**Explanation:**

The volume formula is:

[tex]V=\pi r^2h[/tex]We know that the radius is r = 5 and the volume is V = 50pi. We have to replace these values into the formula above and solve for h:

[tex]\begin{gathered} 50\pi=\pi5^2h \\ 50\pi=25\pi h \\ h=\frac{50\pi}{25\pi}=\frac{50}{25}=2 \end{gathered}[/tex]**Answer:**

**h = 2**

Please help solve the problem.

-2/5x+3=2/3x+1/3

**Answer: -6/5=2/9**

**Step-by-step explanation:**

Please help on how I would start these

**Answer:**

a) -15 (b)25/2 (c)-31.2 (d)15

**Step-by-step explanation:**

*(**a*** )**f(-24)=5/6×24+15

-15

*(**b*** )**f(9)=5/6×9+15

25/2

*(**c*** )**f(x)=5/6x+15

5/6x+15=-11

5x+90=-66

5x=-66-90

5x=-156

5x/5=-156/5

x=-31.2

*(**d*** )**f(0)=5/6×0+15

0+15

15

A corporation reported profits of approximately 3,500 million with approximately 67000 million in revenues. Compare the profit to revenue by writing a fraction in lowest terms

Given

The profit for te corporation is 235,00 million.

The revenue for the corporation is 6700e million.

ExplanationTo determine th fractio in lowest terms for thr e profit and revenue is

[tex]\begin{gathered} \frac{3500}{67000}=\frac{35}{670} \\ \frac{35}{670}=\frac{7}{134} \end{gathered}[/tex]AnswerHencenthe answer s [tex]\frac{7}{134}[/tex]A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26500 kilograms. Other shipments weighing 12100 kilograms have already been loaded into the container. Which inequality can be used to determine x, the greatest number of 150-kilogram crates that can be loaded onto the shipping container?

**SOLUTION**

Given the question in the image, the following are the solution steps to answer the question.

**STEP 1: Write the given values**

**STEP 2: Get the inequality**

**Hence, the answer is:**

Open Ended Question is an incorrect hypothesis valuable? Why or why not?

A hypothesis can be seen as an assumption about something, If the hypothesis is wrong, you have information about that something, and you can be sure that the behavior you assumed is never going to happen. In conclusion, you also learn from the mistakes made

7 Write the numbers in order from

GREATEST to LEAST.

-71.1 -71 1/2

The numbers in order form of greatest to least would be:

-71.1, then -71 1/2

When referring to negatives, the number closer to the origin is the greatest. -71 1/2 = -71.5, so it is the least.

-71.1, then -71 1/2

When referring to negatives, the number closer to the origin is the greatest. -71 1/2 = -71.5, so it is the least.

Describe a series of transformations Matt can perform to device if the two windows are congruent

The three **transformations**—rotations, reflections, and translations—can be combined to produce **congruent** shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.

A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.

Given Information

The size and shape of the figures are preserved during stiff **transformations**, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.

These transformational skills are all possessed by Matt:

**Reflection**

The reason a reflection maintains its original form Similar spots from the pre-image to the image remain apart from the line of reflection.

The transformation of **rotations** into congruence

Any rotating figure will twist. Although it is the same size and shape as before, the figure appears to have toppled over. A clock is a perfect example of how rotation works in real life. A clock's connecting arms turn around its axis every hour or every day. A rotation's degree determines what kind of rotation it is; typical rotations include 90, 180, and 270 degrees. Before turning around and going back to where it started, the figure does a full 360-degree turn. the direction of a rotation, whether it be clockwise or counterclockwise. The degree, amount, and other factors can be determined using this information .a revolution's speed, direction, etc.

Transformative **translational** congruence

When an object or shape is moved without altering its size, shape, or orientation, the movement is referred to as a translation. When doing a translation, also known as a slide, every point on an object or shape is moved uniformly and in one direction.

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Solve the systems of equations Y= 6x+35Y= 9x+14X=Y=

y = 6x + 35

y = 9x + 14

Combining these equations, we get:

6x + 35 = 9x + 14

35 - 14 = 9x - 6x

21 = 3x

21/3 = x

**x = 7**

Substituting this result in the first equation:

y = 6*7 + 35

y = 42 + 35

**y = 77**

A teacher records the cost in dollars, y, of purchasing and maintaining a classroom aquarium for x months. Theequation shown models the data.y = 48x + 250What does 250 represent in this situation?A the monthly cost of the aquariumB the purchase cost of the aquariumC the total cost of the aquarium after x monthsD the cost of maintaining the aquarium for x months

B the purchase cost of the aquarium

**Explanation**

we have the equation

[tex]y=48x+250[/tex]this is a linear equation in the form

[tex]\begin{gathered} y=\text{ mx+b} \\ \text{where m is the slope and b is the y-intercept} \end{gathered}[/tex]hence

[tex]\begin{gathered} y=48x+250\rightarrow y=mx+b \\ \text{slope}=48 \\ y-\text{intercept}=250 \end{gathered}[/tex]so, if we have the sentence

the cost in dollars, y, of purchasing and maintaining a classroom aquarium for x months

let

cost in dollars = y

as x is the variable, let x for the variable in the text, in this case, what changes is the number of months,so

number of months= x

the factor of x ( 48), is the value for the mainting the classroom ( as we can see it depends on the number of months , x)

so

the monthly cost of the aquarium=48

finally , we have 250, this values is a constant, it does not depend on the number of months, so it is

the purchase cost of the aquarium=250

so,the answer is

**B the purchase cost of the aquarium**

I hope this helps you

Find the midpoint of AB given A (-3,-5) and B (-1,8)

A: (-3,-5)

B: (-1,8)

To find the midpoint we have to add each coordinate and divide by 2:

Midpoint: (-3-1)/2 , (-5+8)/2 = -4/2, 3/2 = -2,1.5

Midpoint: (-2, 1.5)

two trains leave the station at the same time, one heading west and the other east. the westbound train travels miles per hour slower than the eastbound train. if the two trains are miles apart after hours, what is the rate of the westbound train?
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Beginning with the general form of a quadratic equation. ax^2+bx+c=0, solve for x by using the completing the square method, thus deriving the quadratic formula. To earn full credit be sure to show all steps/calculations. You may want to do the work by hand and upload a picture of that written work rather than try to type it out.
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