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beks73 [17]
2 years ago
6

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

ame solutions as the one shown. 8x + 7y = 39 4x – 14y = –68
Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer:

(1/2, 5)

Step-by-step explanation:

8x + 7y = 39

-2(4x - 14y = -68)

-8x + 28y = 136

8x + 7y = 39

add the two equations together

35y = 175

y = 5

8x + 7(5) = 39

8x = 4

x = 1/2

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larisa86 [58]

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<em>Therefore, Chad is driving the car in 56 mph.</em>

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<em>Therefore, Chad drives 28 miles per gallon of gas.</em>

672/28 = 24

<em>Therefore, Chad uses 24 gallons of gas to drive 672 miles.</em>

3 0
2 years ago
843219 to the power of 100 is multiplied out,what is its units digit?
kondaur [170]

Answer:

1

Step-by-step explanation:

We will consider only the last digit multiplication and the pattern.

When we multiply 843,219 with 843,219, we have

9 * 9 = 81 [1 is important]

1 * 9 = 9

9 * 9 = 81 [1 is important]

So when we multiply them out with each other, we have a pattern of

9, 1, 9, 1 ... goes on

So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1

hence, last digit is 1

5 0
2 years ago
Read 2 more answers
after 24.0 days, 2.00 milligrams of an original 128.0 milligram sample remain. what is the half-life of the sample?
coldgirl [10]
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</span>
6 0
2 years ago
A horticulturist conducted an experiment on 110 thirty-six inch plant boxes to see if the amount of plant food given to the plan
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2 years ago
The triangle shown below has an area of 121212 units^2 <br> 2<br> squared.<br> Find xxx.
dalvyx [7]

Answer:

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}  

Area of a triangle

12

12

3

12

​  

 

3

12

​  

 

x

x

​  

 

=  

2

1

​  

⋅base⋅height

=  

2

1

​  

⋅6⋅x

=3x

=  

3

3x

​  

       divide both sides by 3

=  

3

​  

 

3

​  

x

​  

 

=  

3

12

​  

 

=4

​  

5 0
2 years ago
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