What is the volume of this?

Julia and Cody are working together on solving math problems. For every one problem that Julia

slega [8]

Answer:

Cody has solved (12 × 12) = 144 problems.

Step-by-step explanation:

For every one problem that Julia completes, Cody completes twelve.

If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)

Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.

Hence, 2x + 120 = y ......... (2)

Now, from equations (1) and (2) we get,

2x + 120 = 12x

⇒ 10x = 120

⇒ x = 12

Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)

4 0

3 years ago

-3x - 6+ (-1) help!!!!

guapka [62]

Answer:

-3x = 7 .

Step-by-step explanation:

-3x - 6 - 1 =

-3x - 7

Hope that helps!

5 0

3 years ago

Read 2 more answers

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

Harrizon [31]

A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
$A = lw\\
A = (20x + 24)(36x - 20)\\
A = (20x)(36x) + (20x)(-20) + (24)(36x) + (24)(-20)\\
A = 720x^{2} - 400x + 864x - 480\\
A = 720x^{2} + 464x - 480$

The expression for the area of the gift shop is $720x^{2} + 464x - 480$ .

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
$P = 2(l+w)\\
P = 2(20x + 24 + 36x - 20)\\
P = 2(56x + 4) = 2(56x) + 2(4)\\
P = 112x + 8$

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
$P = 112x + 8\\
176 = 112x + 8\\
112x = 168
x = 1.5$

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) Length = 20x+24 feet
Length = 20(1.5) + 24 feet = 54 feet
2) Width = 36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).

3 0

3 years ago

A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the fi

klemol [59]

For the answer to the question above, A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the finish in 8.49 blocks in a Northwest direction.
The Solution:
A^2+B^2=C^2

6*6+6*6 = sqrt(72)

6 0

3 years ago

Read 2 more answers

Write the expression in standard form. five divided by quantity three minus fifteen i.

EleoNora [17]

Standard form is a+bi where a and b are real numbers
remeber that i²=-1

ok

$\frac{5}{3-15i}$
we got to get the i out of the denomenator
remember the differnce of 2 perfect squares where (a-b)(a+b)=a²-b²

so multiply the whole thing by $\frac{3+15i}{3+15i}$
we get
$\frac{5(3+15i)}{3^2-(15i)^2}=\frac{15+75i}{9-225(-1)}=\frac{15+75i}{9+225}=$ $\frac{15+75i}{234}=\frac{15}{234}+\frac{75i}{234}=\frac{15}{234}+\frac{75}{234}i=\frac{5}{78}+\frac{25}{78}i$

in standard form, it is $\frac{5}{78}+\frac{25}{78}i$

5 0

4 years ago