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Phoenix [80]
3 years ago
6

Solve using the substitution method. Show your work! Full credit will only be given if all steps are shown.

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

One of the ways to solve a system of equation is by using the substitution method

The values of x and y are -9 and 5

<h3>How to use the substitution method </h3>

The equations are given as:

2x + 6y = 12

x + y = -4

Make x the subject in the second equation

x = -4 - y

Substitute x = -4 - y in the first equation

2(-4 - y) + 6y = 12

Expand

-8 - 2y + 6y = 12

Add 8 to both sides

- 2y + 6y = 20

So, we have:

4y =20

Divide through by 4

y = 5

Recall that:

x = -4 - y

So, we have:

x = -4 - 5

x = -9

Hence, the values of x and y are -9 and 5

Read more about the substitution method at:

brainly.com/question/13476446

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The United Air Force has 19 women for every 81 men enlisted. If a squadron has 250 members, approximately how many men are men?
zmey [24]

Answer:

Approximately the number of men is 203 and number of women is 47.

Step-by-step explanation:

It is given that the United States Air Force has 19 women for every 81 men enlisted.

It means the ratio between men and women is 81:19.

Sum of ratio is

Therefore for each 100 people, there are 81 men and 19 women.

Total number of peoples is 250.

In 250 members the number of men is

The numbers of persons cannot be a fraction values or a decimal value, therefore the number of men is 203.

In 250 members the number of women is

Therefore approximately the number of men is 203 and number of women is 47.

5 0
3 years ago
Read 2 more answers
It is known that:the pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.
kicyunya [14]

Answer:

a = 3

Step-by-step explanation:

Fill in the given values:

a*5-2*7 = 1 =>

5a = 1 + 14

a = 15/5 = 3

8 0
4 years ago
Read 2 more answers
Wilda can do a job in 4 hours that karla needs 5 hours to do. If wilda works 1 hour before karla joins her, how long will it tak
mezya [45]
Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.

Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived.  So only 0.75 of the job remained to be done together.

Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.

How many times do they need to do  0.45  of the job in order to finish
the  0.75  of it that remains ?  That's the number of hours it will take them,
working together.

0.75 / 0.45  =  <em>1 and 2/3</em>

After Wilda worked alone for 1 hour and Karla came along to join her, it will
take them another  <em>1 hour and 40 minutes</em> to finish the job and go for a swim.
8 0
4 years ago
How do I find the inverse of this problem?
raketka [301]

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Inverse of real function.

Let's consider here, g(n) = y ,

so we get as,

y =  \sqrt[3]{ \frac{n - 1}{2} }

no, cubing the power both side we get as,

=>

{y}^{3}  =  \frac{n - 1}{2}

now,

2 {y}^{3}  = n - 1

so finally, we get as,

=>

n = 2 {y}^{3}  + 1

hence,here, n = inverse of the g(n) function.

so,

g^-1 (n) = 2y^3+1.

7 0
3 years ago
A tent has the dimensions shown in the diagram. Find the area of the groundsheet needed to fit inside the tent. Round your answe
kogti [31]

Apologies if the diagram is a bit confusing

7 0
4 years ago
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