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pav-90 [236]
3 years ago
11

2x+9y=27 X - 3y = -24

Mathematics
1 answer:
allsm [11]3 years ago
7 0
I assume that this is a system of equations so I'll use the substitution method.

Make one of the equations equal an isolated variable and since x is already isolated just add -3y on both sides.
x-3y=-24
   +3y   +3y

x=3y-24

Substitute that in for the first equation.

2(3y-24)+9y=27
6y-48+9y=27
15y-48=27
      +48  +48
------------------
15y=75
----- ----
15    15

y=5

Substitute y in the other equation and find x

x-3(5)=-24
x-15=-24
   +15  +15
--------------
x=-9 

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viva [34]
They would make 32,760 together in a year. One person would make 7.50 a hour times 42 hours, which would be 315 a week. You would times that by 52 weeks in a year and get 16,380 for one person per year. Multiply 16,380 by two people and you would find that they make 33,760 a year.
7 0
4 years ago
Points Pand Q lie in plane A. How many lines contain P
jeka94

Answer:

The correct answer is :

1. Line PQ (One line PQ).

Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

''2. Lines PQ and QP''

This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.

''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''

This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

''We can't name them all!''

This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

In the drawing I call the line that contains P and Q as line L.

Given that P and Q lie in plane A necessarily the line L must lie on the plane A.

8 0
4 years ago
What is the value of the expression below? 81^5/4
adell [148]

Answer:

81^5/4

Rewrite 81 in index form that is 3⁴

So we get

3⁴ × ^5/4

= 3^5

= 243

Hope this helps

4 0
3 years ago
Which shows the prime factorization of 50? (1 point)
kirza4 [7]

50 = 2 \cdot 5^2

3 0
3 years ago
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Please help and hurry b - 3=-4 what does b equal?
Gala2k [10]
The answer is -1, move 3 over to -4 and get b = -1
4 0
4 years ago
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