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2 years ago

There are 50 sheets of drawing paper.

Mathematics

1 answer:

tiny-mole [99]2 years ago

3 0

Answer:

John has 18 pieces of paper.

Larry has 32 pieces of paper.

Step-by-step explanation:

Let $l$ be how many pieces of paper Larry has and $j$ be how many pieces of paper John has.

We get:

$j+14=l$

$j+l=50$

$j+j+14=50\\\\2j+14=50$

<em>Subtract 14 from both sides</em>

$2j=36$

<em>Divide both sides by 2</em>

$j=18$

John has 18 pieces of paper.

$j+14=l\\\\18+14=l\\\\l=32$

Larry has 32 pieces of paper.

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2 years ago

Solve the system of equations

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<h3>Answer:</h3>

c) there are infinitely many solutions

<h3>Explanation:</h3>

Add x to the <em>first equation</em> to put it in standard form:

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2 years ago

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

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Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

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$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

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