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3 years ago

PLEASE HELP THANKS SO MUCH!

Mathematics

1 answer:

Zolol [24]3 years ago

5 0

Surface area = sum of 2 triangles + sum of the 3 rectangles

= 2 * 84 + 18*24 + 18*25 + 18*7 = 1176 ft^2

volume = 1/2*7 *24 * 18 = 1512 ft^3
surface area to volume = 1176:1512 = 0.78 which is less than 1.
so the company wil manufacture it.

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Question 8

sasho [114]

we are given

system of equations

First equation is

$3x-2y=31$

Second equation is

$3x+2y=-1$

now, we can find augmented matrix

$A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}$

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

$A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}$

step-2:add -3 times the 1st row to the 2nd row

$A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}$

step-3:multiply the 2nd row by 1/4

$A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}$

step-4: add 2/3 times the 2nd row to the 1st row

$A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}$

so, we get

$x=5,y=-8$

Answer is (5,-8)

6 0

3 years ago

Read 2 more answers

3(c-4)=4(c-6)<br> i don't know how to solve it, either

STatiana [176]

Answer:

c = 12

Step-by-step explanation:

3(c - 4) = 4(c - 6)

Use the distributive property on each side.

3c - 12 = 4c - 24

Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.

3c - 4c - 12 + 12 = 4c - 4c - 24 + 12

Combine like terms on each side.

-c = -12

Multiply both sides by -1.

c = 12

4 0

2 years ago

Read 2 more answers

X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.

Sunny_sXe [5.5K]

The values of x and y are 99 and 343

The HCF of numbers is the highest common factors of the numbers

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

$HCF = 21$

$LCM = 1617$

Multiply the HCF and the LCM

$HCF \times LCM = 21 \times 1617$

$HCF \times LCM = 33957$

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

$x \times y = 33957$

<h3>Prime Factors</h3>

Express 33957 as a prime factor

$x \times y = 3^2 \times 7^3 \times 11$

Rewrite the equation as

$x \times y = 99 \times 7^3$

$x \times y = 99 \times 343$

By comparison:

$x = 99$

$y= 343$

Hence, the values of x and y are 99 and 343