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Akimi4 [234]
3 years ago
6

.Solve the system of equations. Use elimination

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer:

a) (-9,3)

Step-by-step explanation:

   x + 2y = -3

- (x -    y = -12)

<u />

x + 2y = -3

<u>- x + y =  12</u>

       3y =  9

          y = 3

x - y = -12

x- 3 = -12

x= - 9

(-9, 3)

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Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
mezya [45]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=32.5%20%3D%2030%20%2B%20%20%5Cfrac%7B20%20-%20%2840%20%2B%20x%29%7D%7B12%7D%20%20%5Ctimes%2010
erastova [34]

Answer:

x =  - 23

Step-by-step explanation:

\frac{20 - (40 + x)}{12}  \times 10 = 32.5 - 30 = 2.5

=  >  \frac{20 - (40 + x)}{12}  = 0.25

=  >  \frac{20 - (40 + x)}{12}  =  \frac{1}{4}

=  > 20 - (40 + x) =  \frac{12}{4}  = 3

=  > 40 + x = 20 - 3 = 17

=  > x = 17 - 40 =  - 23

7 0
3 years ago
What is the probability that a student failed the test GIVEN that they studied
puteri [66]

Answer:

1/12

Step-by-step explanation:

You are close but 1/27 includes people who did not study but still passed. If you want a singular value you should look at the value for the for only the people who studied even if they passed.

5 0
3 years ago
I need help with these two questions
BlackZzzverrR [31]
Problem 4

Answer: 47

------------------------

Work Shown:

f(x) = x^2 - 7x + 3
f(x) = (x)^2 - 7(x) + 3
f(-4) = (-4)^2 - 7(-4) + 3 ... replace each x with -4
f(-4) = 16 - 7(-4) + 3
f(-4) = 16 + 28 + 3
f(-4) = 44 + 3
f(-4) = 47

============================================================

Problem 5

Answer: See the attached image for the table

------------------------

Work Shown:

Plug in n = 27 and we get...
C = 26 + 10*n
C = 26 + 10*27
C = 26 + 270
C = 296
The input n = 27 leads to the output C = 296. This means that 27 people will have the cost be $296

Do the same for n = 39
C = 26 + 10*n
C = 26 + 10*39
C = 26 + 390
C = 416
The input n = 39 leads to the output C = 416. This means that 39 people will have the cost be $416

and also n = 43 as well
C = 26 + 10*n
C = 26 + 10*43
C = 26 + 430
C = 456
The input n = 43 leads to the output C = 456. This means that 43 people will have the cost be $456

4 0
3 years ago
A point has the coordinates (0, k).
Lemur [1.5K]
**Answer**:
The Reflection across y axis
Step-by-Step Explanation:
A reflection across the y axis with x Coordinate of 0 will stay 0 and also does
Not change the y Coordinate of k

~ hope this helps
3 0
3 years ago
Read 2 more answers
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