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kolbaska11 [484]

3 years ago

9

2. Josh has m marbles. Matthew has 5 more than triple the number of marbles that Josh has. In terms of m, how many marbles does

Matthew have?

1 answer:

Nimfa-mama [501]3 years ago

3 0

3m+5
Josh’s marbles can be represented by m
Matthew’s marbles can be represent by 3m+5 (the 3m is for triple what Josh has which is m)

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Start by converting your two equations into slope-intercept form.

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Which addition expression equals −12−12?

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Since subtracting is the same as adding a negative number, the answer is -12 + (-12). Hope this helps!

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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...

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<u>_________</u>

Now, we'll Multiply by LCM:

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

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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Subtract 14 from both sides:

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

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

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

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Divide both sides by -1:

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<h3><u>____________________________</u></h3>

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= 7.00021

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= 14. 0042

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