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Marina CMI [18]
2 years ago
6

Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?

Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Wilma's age.
  • Variable y: Yvonne's age.

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

y + 10 = \frac{1}{3}(x + 10)

Since x = 5y:

y + 10 = \frac{1}{3}(x + 10)

y + 10 = \frac{1}{3}(5y + 10)

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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sp2606 [1]

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:<span>

x + y = 6
x + y = 4
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x + y = x + y</span>

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The correct result would be: There is no solution.</span>


3 0
3 years ago
Pls solve q no. 7. I need it urgently. Tomorrow is my exam.
FinnZ [79.3K]

Answer:

The area of the square lawn is 784\ m^2

Step-by-step explanation:

Part 7)

Let

x ----> the length side of the square lawn in meters

we know that

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A=(x+2+2)^2-x^2

A=(x+4)^2-x^2 ----> equation A

A=240\ m^2 ----> equation B

so

240=(x+4)^2-x^2

Solve for x

240=(x^2+8x+16)-x^2

240=8x+16

8x=240-16

8x=224

x=28\ m

The area of the square lawn is

A=x^2

substitute the value of x

A=28^2=784\ m^2

3 0
3 years ago
If money in a bank doubles every 7 years, then what factor is the money multiplied by over a 28 year period?
Vesnalui [34]

The money would be multiplied by a factor of 16 after 28 years

<h3>How to determine the factor?</h3>

The rate is given as:

Rate = Double every 7 years

There are 4 7 years in 28 years.

So, the factor would be:

Factor = Rate^4

This gives

Factor = 2^4

Evaluate

Factor = 16

Hence, the money would be multiplied by a factor of 16 after 28 years

Read more about exponential factors at

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2 years ago
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The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.4 mg and standard deviation 0.1
a_sh-v [17]

Answer:

Step-by-step explanation:

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And for this case we select a sample size of n =100 and we want to find the following probability:

P(\bar X

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

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8 0
3 years ago
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