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amm1812
4 years ago
6

A mother is 13 years older than twice her daughter's age. If the difference of their ages is 32, how old is each person?

Mathematics
1 answer:
slega [8]4 years ago
7 0

Answer:The daughter is 19 and the mother is 51

Step-by-step explanation:

=51-13 (Divide symbol) 2

=19

Have 51-13 in bracket because that has to be done first

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What value should be added to make a perfect square? x^2+16x<br> a. 4<br> b. 8<br> c. 16<br> d. 64
Likurg_2 [28]

Answer:

d. 64

Step-by-step explanation:

x^2+16x

The coefficient of the x term is 16

Divide by 2

16/2 =8

Then square it

8^2 = 64

We add 64

x^2 +16x +64

(x+8)^2

3 0
3 years ago
Read 2 more answers
A volume of a coin is 113.04 mm2 what is the approximate of a sphere that has the same height and a circular base with the same
tia_tia [17]

We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.

We know that volume of cone is \frac{1}{3}\pi r^2\cdot h.

The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

h=2r

Upon substituting h=2r in volume of cone, we will get:

V=\frac{1}{3}\pi r^2\cdot 2r

V=\frac{2}{3}\pi r^3

We know that volume of sphere is V=\frac{4}{3}\pi r^3.

Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

V=2(\frac{2}{3}\pi r^3)

Since \frac{2}{3}\pi r^3=113.04, so volume of sphere would be:

V=2(113.04)

V=226.08

Therefore, volume of sphere would be 226.08 cubic mm.

4 0
4 years ago
In a jar of marbles 9 out of 15 marbles are purple. Of there are 400 marbles in the jar, how many of th are not purple?
kramer

Answer:

C) 160

Step-by-step explanation:

Set up a proportion:

\frac{9}{15} = \frac{x}{400}

Cross multiply and solve for x:

15x = 3600

x = 240

This means in 400 marbles, 240 are purple.

To find how many are not purple, subtract 240 from 400:

400 - 240

= 160 marbles

So, 160 marbles are not purple

7 0
3 years ago
How to solve this linear equation 2/3y=-12
Alenkinab [10]
Well you are solving for Y so you have to get y by itself. So in order to do that you must multiply both sides by 3/2. You do this because you need to get 2/3 on the other side. So just multiply -12 and 2/3 and you'll get y=-18. You can check this by plugging -18 into your original equation. So 2/3y=-12 will become 2/3(-18)=-12. If the you got the correct answer then you should get -12=-12.
5 0
3 years ago
If it costs $75,000 to put on an event and total revenue is $135,000, what is the profit as a percentage of revenue?
Tems11 [23]
1st find total profit by subtracting the cost from the total revenue:

135,000 - 75,000 = $60,000 profit

Now divide the profit by the total revenue:

60,000 / 135,000 = 0.444 = 44.4% = 44% profit
8 0
4 years ago
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