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3 years ago

KEVIN'S GAS TANK IS 1/6 FULL. AFTER HE BUYS 14 GALLONS OF GAS, IT IS 3/4 FULL. HOW MANY GALLONS CAN KEVIN'S TANK HOLD?

Mathematics

2 answers:

Reika [66]3 years ago

5 0

$\frac 1 6 t + 14 = \frac 3 4 t$

$14 = (\frac 3 4 - \frac 1 6)t = (\frac 9{12} - \frac{2}{12}) t = \frac {7}{12} t$

$t = \frac{12}{7} (14) = 24$

Answer: 24 gallons

Check: (1/6)24=4, 4+14=18, 18/24=3/4, good

Nikolay [14]3 years ago

3 0

This is the answer right here!

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In the form of

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3 years ago

Find the area bounded by the graphs of the indicated equations over the given interval.

NeX [460]

Answer:

Step-by-step explanation:

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2 years ago

The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.

Fudgin [204]

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3 years ago

Read 2 more answers

Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

Eva8 [605]

Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

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$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$