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3 years ago

6

Ursula pulled her classmates to see what their favorite kinds of juice were.Eight times as many students voted for grape and ora

nge. Forty three students voted for orange. How many students voted for grape?

1 answer:

ohaa [14]3 years ago

6 0

You have to do 43 times 8 which is 344 students :)

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Choose the fraction that is equal to 3/4. A.3/8 B.6/12 C.9/16 D.6/8

irga5000 [103]

D because if you simpify 6/8 then that will give you 3/4

8 0

3 years ago

Read 2 more answers

A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig

givi [52]

An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, $A_p=(x-2)(y-8)$

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

$A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}$

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

$\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}$

Equate the differentiated function with 0,

$0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.$

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

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4 0

2 years ago

Andrea does not understand why if x is a solution to the equation 3-x=4 then x is also a solution to the equation 12=9-3x. Write

Strike441 [17]

Answer:

Both equations are same

Step-by-step explanation:

The reason why this is true is not far fetched

looking at the first equation, we have;

3-x = 4

we can also factorize the second equation to look this way

By this, we shall be having

3(4) = 3(3-x)

By the time we take out the 3 from both sides, we will have the initial equation

So what we are saying is that both equations are the same

6 0

2 years ago

Find the perimeter of the triangle shown.Simplify your answer.Show all your work.

VashaNatasha [74]

Answer: 12 sqrt(5)

Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)

= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)

= 5 sqrt(5) is already simplified

= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
= 12 sqrt(5)

7 0

3 years ago

Find the range of 5,3,1,1,3,3,4,4,4,1,1,4,2,2,5,5,5,2,5,5

ExtremeBDS [4]

Answer: 4

find the largest number (5) and take away the smallest (1)

5-1=4

6 0

3 years ago