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marysya [2.9K]
3 years ago
13

~~~ 30 POINTS ~~~

Mathematics
2 answers:
frez [133]3 years ago
5 0
Let x be the unknown number of all 3 equations
1.) 3x - 2 = x + 10 x=6
2.) x + 4 = 19 - 2x x=5
3.) 8x - 20 = x + 15 x=5
trasher [3.6K]3 years ago
3 0
<span>1)   3x-2=x+10


</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x             -x
</span><span>
</span><span>3x - x = 2x                                2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2          The inverse operation helps isolate the variable. 
<span>
2x = 12

2x/2 = 12/2

x = 12/2
x = 6</span><span>

Answer: x = 6

2) x + 4 = 19 - 2x </span>

We can solve this much faster

x + 4 = 19 - 2x
                  +2x

x+2x = 3x

3x + 4 = 19
      -4     -4

19-4 = 15

3x= 15
3x/3 = 15/3
x= 5

Answer: x = 5

3) 
<span>8x - 20 = x + 15

Much faster now!!

8x - 20 = x + 15
               -x
8x-x = 7x

7x - 20 = 15
      +20   +20
15+20 = 35

7x = 35
7x/7 = 35/7
x = 35/7
x = 5

Answer: x= 5</span>
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2. Sketch the graph with the points (-1,1) and (1,5) on a coordinate plane. Then, identify the y-
Akimi4 [234]

Answer:

y-intercept: (0, 3)

Step-by-step explanation:

Attached is a screenshot of the plotted points (-1, 1) and (1, 5) on a graph. It shows that the line crosses the y-axis at point (0, 3) → which is the y-intercept.

Please mark my answer as the Brainliest, if you find this helpful :)

4 0
2 years ago
Explain why a positive times a negative is a negative number.
prohojiy [21]

Explanation:

This can be explained by thinking numbers on the number line as:

Lets take we have to multiply a positive number (say, 2) with a negative number say (-3)

<u>2×(-3)</u>

Suppose someone is standing at 0 on the number line and to go to cover -3 , the person moves 3 units in the left hand side. Since, we have to compute for 2×(-3), The person has to cover the same distance twice. At last, he will be standing at -6, which is a negative number.

A image is shown below to represent the same.

<u>Thus, a positive times a negative is a negative number.</u>

8 0
3 years ago
Simplify these expressions a) 5x +3x + 2y + 4y b) 6x - 2x + 8y - 6y​
cestrela7 [59]

Answer:

a) \: 5x + 3x + 2y + 4y \\  = 8x + 6y

b) \:  6x - 2x + 8y - 6y \\  = 4x + 2y

I hope I helped you^_^

3 0
3 years ago
A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio
My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- <em>That means it travels down another 45 meters</em>

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

 then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

   depth of submarine instead of adding -45

3 0
3 years ago
how much does an x box emulator cost and what does it do??? Will give brainliest to first right answer!!!
ladessa [460]

Answer:

113.44

Step-by-step explanation:

It can emulate the BIOS and many games at very slow speeds but is sometimes faster than Cxbx with acceptable graphics

6 0
3 years ago
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