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xeze [42]
4 years ago
14

Abdul's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Abdul's tank hold?

Mathematics
1 answer:
eduard4 years ago
4 0

Answer: 14 gallons

Step-by-step explanation:

Let's call the total gallons of gas Abdul's tank can hold <em>x</em>.

Then, based on the information given in the problem, you can write the following expression:

\frac{1}{5}x+7=\frac{7}{10}x

Therefore, when you solve for x, you obtain the following result:

\frac{1}{5}x+7=\frac{7}{10}x\\\\\frac{1}{5}x-\frac{7}{10}x=-7\\\\-\frac{1}{2}x=-7\\\\-x=(-7)(2)\\x=14

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A shipping crate holds 14 books. The dimensions of each book are 4 inches by 11 by 14 inches. For A-C, select Yes or No to indic
Inga [223]

Answer:

A. No

B. Yes

C. No

Step-by-step explanation:

Dimensions of each book are 4 inches by 11 by 14 inches.

A. Each book has a volume of 29 cubic inches.

Volume of each book = length × width × height

= 4 × 11 × 14

= 616 cubic inches

No

B. If the crate could hold 18 books the volume of the crate would be 11,088.

Volume of each book = 616 cubic inches

Volume of the crate = volume of each book × number of books

= 616 × 18

= 11,088 cubic inches

Yes

C. Each crate has a volume of about 8,524 cubic inches

If the crate holds 14 books,

Volume of the crate = volume of each book × number of books

= 616 × 14

= 8,624 cubic inches

No

5 0
3 years ago
Sonya sells bracelets once a month at a flea market. The
marta [7]
$30 because if you add 30 to those numbers it would give you the next months amount.
3 0
3 years ago
you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu
Alex Ar [27]
Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

<span>25%</span> of olive oil remains means that <span>75%</span> has been used.

22<span>12</span> quarts = 22.5 quarts used

<span><span>22.5.75</span>=<span>q.25</span></span>

Multiply both sides by .25 to isolate q.

<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>

<span><span>5.625.75</span>=q</span>

<span>7.5=<span>q</span></span>

3 0
3 years ago
A farmer bought a number of pigs for $160. However, 8 of them died before he could sell the rest at a profit of 6 per pig. His t
juin [17]

Answer:

The farmer bought 36 pigs in all.

Step-by-step explanation:

Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:

160 + 8 = 168

168/6 = 28

28 + 8 = 36

Thus, the farmer bought 36 pigs in all.

6 0
3 years ago
Solve the Inequality Give 5 solutions of the inequality ( Show your solution).<br> 2x -3 &lt; 5
marysya [2.9K]

Answer:

Inequality Form:

x<4

1<4

3<4

-1004<4

Interval Notation:

(−∞,4)

(-1004,4)

(3,4)

(1,4)

Step-by-step explanation:

5 0
3 years ago
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