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Sunny_sXe [5.5K]
2 years ago
15

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

Mathematics
2 answers:
VladimirAG [237]2 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]2 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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<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0
3 years ago
Which equation is true for the value a=7
andrey2020 [161]

Answer:

The answer is just re look at the question A

3 0
3 years ago
The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away fr
luda_lava [24]

Answer:

D.) the initial height of the roller coaster

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the domain of the function.
timurjin [86]

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

u(x) ≥ 0.

\sqrt{9x+27} \geq  0

9x + 27 ≥ 0 by squaring both sides

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So the domain of the function is when x ≥ -3 is true.

5 0
3 years ago
1.00 is 5% of what number
spin [16.1K]

Answer:

20

Step-by-step explanation:

If you work this out you get 1:

5/100*20

5 divided by 100 is 0.05 then 0.05 times 20 is 1

5 0
3 years ago
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