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Arisa [49]
3 years ago
5

One of my cats, Apollo, drives a cat car. He used 6/8 of a tank of gas to visit his friends for the weekend, and another 1 half

of a tank to commute to work the next week. He then took another weekend trip and used a 1/4 tank of gas. How many tanks of gas did Apollo use altogether? Tanks of gas
Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

Total gas used = 3/2 of a tank of gas

Step-by-step explanation:

Visit to friend = 6/8 of a tank of gas

Commute to work = 1/2 of a tank of gas

Weekend trip = 1/4 of a tank of gas

Total gas used = Visit to friend + Commute to work + Weekend trip

= 6/8 + 1/2 + 1/4

= 6+4+2/8

= 12/8

= 3/2

Total gas used = 3/2 of a tank of gas

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Nataly_w [17]

Answer:

  • \boxed{\sf x=12}

Step-by-step explanation:

\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}

First, let's find the LCM of 4, 3, and 6.

<u>How to find the LCM:</u>

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

<u>LCM: 12</u>

<u>_________</u>

Now, we'll Multiply by LCM:

\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12

Simplify:

\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)

Now, expand, Apply the Distributive property:

\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}

\sf  9x-6-8x+20

Combine like terms:

\sf x+14

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\bold{ 2\left(x+1\right)}

\sf 2x+2

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\sf x+14-14=2x+2-14

Simplify:

\sf x=2x-12

Subtract 2x from both sides:

\sf x-2x=2x-12-2x

Simplify:

\sf -x=-12

Divide both sides by -1:

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\sf x=12

<h3><u>____________________________</u></h3>
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3 years ago
How to solve 4/7y-2 = 3/7 + 3/14
lisabon 2012 [21]
Solution

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\frac{4y}{7} <span>−2= </span>\frac{3}{7} + \frac{3}{14}

2) Simplify \frac{3}{7} + \frac{3}{14} <span>to <span>914</span>
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5) <span>Multiply both sides by 7
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7) Simplify \frac{259}{14}<span> to </span>\frac{37}{2}
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8) <span>Divide both sides by 4
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9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>\frac{37}{8}
<span><span>
Hope this helps 

</span></span>
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