Nancy builds a hollow wooden ramp for an obstacle course as part of an athletic event. The ramp and the net of the ramp are shown below. Units are in feet. The surface area of the ramp is square feet. Nancy wants to sell the wooden ramp at a price based on the surface area. If each square foot of wood of the ramp is sold for $3, the ramp would sell for $.

To sketch the region, find the intersection points and use them to form a triangle. The centroid is found by taking the average of the x and y values of the vertices.

To sketch the region bounded by the curves y=3x^3, x+y=4, and y=0, we first need to find the x-coordinates of the points where the curves intersect. Setting the equations equal to each other, we get 3x^3 + x = 4. Solving for x, we find x = 1. The region bounded by the curves is a triangle with the vertices (0,0), (1,0), and (1,3).

To find the coordinates of the centroid, we first find the x-coordinate by taking the average of the x-values of the vertices: (0 + 1 + 1)/3 = 2/3. Next, we find the y-coordinate by taking the average of the y-values of the vertices: (0 + 0 + 3)/3 = 1. So, the coordinates of the centroid are (2/3, 1).

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Answer:

Divide 30 by 6 and then multiply the quotient by 5.

Answer:

C. x=5/4

Step-by-step explanation:

Correct answer on edge 2022

Answer:

there is like 5 other answered of this same problem

Step-by-step explanation:

Answer:

The function has an odd degree

Step-by-step explanation:

Edge 2020

Answer:

3.33

Step-by-step explanation:

Final answer:

The problem involves forming and solving a linear equation to determine the number of nectarines and grapefruits in a box, where the total count is 36 and the nectarines are three times as many as the grapefruits. By setting up the relationship as 'n = 3g' and 'n + g = 36', we can solve for 'g' and 'n' to find that there are 9 grapefruits and 27 nectarines.

Explanation:

The student's question involves solving a linear equation to find the number of nectarines and grapefruits in a box when given a specific ratio and total. Let's denote the number of grapefruits as 'g' and the number of nectarines as 'n'. According to the problem, there are three times as many nectarines as grapefruit, so we can write this relationship as 'n = 3g'. Also, we know that the total number of fruit is 36, which gives us another equation: 'n + g = 36'.

Now we have a system of two equations:

To find the values of 'g' and 'n', we can substitute the first equation into the second one, resulting in '3g + g = 36', which simplifies to '4g = 36'. Dividing both sides by 4 gives us 'g = 9'. Having found the number of grapefruits, we can now determine the number of nectarines by multiplying the number of grapefruits by 3, thus 'n = 3 times 9 = 27'.

So, there are 9 grapefruits and 27 nectarines in the box.

The height of the parallelogram is 6cm.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Area of parallelogram = 108 square cm

Base = 18 cm

So, Area of parallelogram

108 = base x height

108 = 18 x height

Height= 108/ 18

Height = 6 cm

Thus, the height is 6 cm.

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To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.

To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Let h represent Horatio's weight and k represent Kimberly's weight.

We are told that Horatio weighs three times as much as Kimberly:

h = 3k

We are also told that together they weigh a total of 95 kilograms:

h + k = 95

These two equations form a system of equations. We can solve the system by substituting the value of h from the first equation into the second equation:

3k + k = 95

Combining like terms, we get:

4k = 95

Dividing both sides by 4, we find:

k = 23.75

Substituting this value back into the first equation, we find:

h = 3(23.75) = 71.25

Therefore, Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.

Final answer:

The equations h = 3k and h + k = 95 can be used to determine the individual weights of Horatio and Kimberly. Solve for one variable and substitute to find the other.

Explanation:

The system of equations to determine how much Horatio and Kimberly weigh, given that Horatio weighs three times as much as Kimberly and together they weigh a total of 95 kilograms, can be represented by:

h = 3k (Horatio weighs three times as much as Kimberly)

h + k = 95 (Together, Horatio and Kimberly weigh 95 kilograms)

To solve for their individual weights, substitute the expression 3k for h in the second equation and solve for k. Once k is found, multiply it by 3 to find h. This process is part of addition in kilograms and uses equations to find the total sum of weights.

Answer:

Quantitative and discrete

Step-by-step explanation:

Given that the data set consists of types of fruit at the grocery stores.  We can see that the types of fruits at the grocery stores is countable.  i.e. we can have a one to one correspondence with type of fruits and natural numbers.  Hence the variable is discrete.

It will in numerical numbers so it is quantitative.

Put together we can say that  “types of fruit at the grocery store”

is a

i) quantitative variable

ii) discrete

Answer:

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

Step-by-step explanation:

Let 'x' represent the number of hours worked stocking shelves

Let 'y' represent the number of hours worked in sales.

You earn $11.90 per hour as a salesperson i.e. 11.90y.

You earn $10.50 per hour stocking shelves i.e. 10.50x.

Your combined earnings this month are $178.50.

i.e. [tex]10.50x+11.90y= 178.50[/tex]

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

To plot the graph we find x and y intercept,

For x-intercept put y=0,

[tex]10.50x+11.90(0)= 178.50[/tex]

[tex]x=\frac{178.50}{10.50}[/tex]

[tex]x=17[/tex]

Point is (17,0).

For y-intercept put x=0,

[tex]10.50(0)+11.90y= 178.50[/tex]

[tex]y=\frac{178.50}{11.90}[/tex]

[tex]y=15[/tex]

Point is (0,15).

Refer the graph attached below.

Donny spent 2.25 hours painting, while Jason spent 4.4167 hours. The total time spent was 6.6667 hours, and Donny's percentage of this time was approximately 33.75%. Therefore, Donny received $101.25 of the $300 payment.

To determine how much Donny received from the $300 for the painting job, we first need to calculate the total amount of time Jason and Donny spent painting, then divide the total earnings based on the proportion of time spent. Jason spent 4 hours and 25 minutes, which is equivalent to 4.4167 hours (4 hours and 25 minutes / 60 minutes). Donny spent 2 hours and 15 minutes, which is equivalent to 2.25 hours (2 hours and 15 minutes / 60 minutes).

The total time spent on the painting job is the sum of Jason's time and Donny's time, which is 4.4167 + 2.25 = 6.6667 hours. The proportion of time Donny spent is 2.25 hours / 6.6667 total hours, which equals approximately 0.3375 (or 33.75%).

Therefore, Donny's share of the $300 is 0.3375 * $300, which equals $101.25. As a result, Donny received $101.25 for his part of the painting job.

Answer: 3 : 1

Step-by-step explanation:

We know that the ratio of A to B is given by :-

[tex]\dfrac{A}{B}[/tex] or A : B .

Given : Number of students having brown hair = 15

Number of students having black hair = 5

Then , the ratio of students with brown hair to students with black hair will be  :-

[tex]=\dfrac{\text{No. of students with brown hair}}{\text{No. of students with black hair}}\\\\=\dfrac{15}{5}=\dfrac{3}{1}[/tex]

Hence, the ratio of students with brown hair to students with black hair = 3 : 1.

Answer:

3 to 1

Step-by-step explanation:

I did the quiz

Answer:

3/4(50)=m and $37.50

Step-by-step explanation:

i just did it and got it right

The equation for this word problem is m = (3/4) * 50 and Hector spent $37.5 from his money.

Data;

This is a mathematical statement used to express word problem in order for us to solve it algebraically.

In this question, he spent 3/4 of his money.

His paycheck is $50 and the amount he spent is m

The equation to represent this will be

[tex]m = \frac{3}{4}* 50[/tex]

Let's simplify this and solve for m

[tex]m = \frac{3}{4} * 50\\m = \frac{3}{4}* 50\\ m = 75/2 \\m = 37.5\\[/tex]

Hector spent $37.5 from his money.

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The value of x when cos(28°) = x/4 is found by solving the equation, leading to x = 3.53 to three significant figures. This involves basic trigonometry and arithmetic operations.

If cos(28°) = x/4, we are asked to find the value of x to three significant figures. This type of problem involves trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. To solve for x, we use the equation given and manipulate it to isolate x.

Given that cos(28°) = x/4, we can find x by multiplying both sides of the equation by 4:

Using a calculator, cos(28°) approximately equals 0.8829. Therefore, x is equal to 4 * 0.8829, which simplifies to:

To three significant figures, x = 3.53.

The square root of 17 is between the integers 4 and 5

In order to know which two whole numbers the square root of 31 fall ib between, we need to get a perfect square that is less than 31 and also greater than 31

The two perfect numbers are 16 and 325

Taking the square root of these numbers;

√16 = √4 *4 = 4

√25 = √5 * 5 = 5

This shows that the square root of 17 is between the integers 5 and 6

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