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Ad libitum [116K]
3 years ago
11

Solve for x: 1/4 (4x + 15) = 24

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

So we have the equation:

\frac{1}{4} (4x+15)=24

So we first must multiply both sides by 4 in order to get rid of the \frac{1}{4} on the left side:

(4x+15)=96

Then we need to subtract 15 on both sides in order to get the x term by itself on the left side:

4x=81

And then to completely solve for x, we need to divide both sides by 4:

x=20.25

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Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.
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Answer:

US$ 132.45

Step-by-step explanation:

See attachment for the missing table.

Given:

Richard’s checking account balance at the beginning of the week = $57.34

<u>Richard’s account balance at the end of the week from the given table:</u>

Deposits of the week = US$ 163.75

Expenses of the week = Groceries + Credit card bill + Gas

Expenses of the week = 25.37 + 50 + 13.27

Expenses of the week = US$ 88.64

Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week

Replacing with the real values:

Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64

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7 0
4 years ago
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Naddik [55]

For this case we have the following polynomial:

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We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

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Then we look for the GFC of the variables:

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Finally rewriting we have: -24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)

Answer:

the complete factored form of the polynomial is:

-8a ^ 3 (3a ^ 3b ^ 4 + 5)

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