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3 years ago

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points

Mathematics

2 answers:

VladimirAG [237]3 years ago

5 0

Answer:

Mary = $18

Jane = $30

Step-by-step explanation:

The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.

8x = 48

x = 6 <-- Value of each part

Now you multiply the 6 by the number on each side of the ratio,

Mary = 3 * 6 = 18

Jane = 5 * 6 = 30

The above is your answer.

zubka84 [21]3 years ago

4 0

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

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3 years ago

A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function

dexar [7]

Here's our equation.

$h=-16t+64t+3$

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

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So the ball will return to the ground at the positive value of $\boxed{\frac{8+\sqrt{67}}{4}}$ seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

$\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2$

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3 years ago

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jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

$-x-y=7$ -----> isolate the variable y