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Georgia [21]
3 years ago
10

Use substitution to solve the linear system of equations.

Mathematics
1 answer:
zzz [600]3 years ago
5 0
<span>5x - y = 15 (1)
-10x+2y=-30 (2)

multiply (1) by 2

10x - 2y = 30
</span>-10x + 2y = -30 (2)
<span>---------------------------add
0 = 0

answer
</span><span>infinitely many solutions</span><span>

</span>
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Question 9
Maurinko [17]

Answer:

y=-2x

Step-by-step explanation:

3 0
2 years ago
It takes Max 1 minute and 45 seconds to run around a track once. It takes Max 3 minutes to walk one lap on the same track. If Ma
devlian [24]

Answer:

4 laps running

Step-by-step explanation:

Les r be the number of laps he completed running an w the number of laps he walked. Also, lets write all in seconds, which can be a little easier than working with minutes.

Then, as it takes him 1:45 minutes by running, and we know that 1 minute is equal to 60 seconds, we can say it takes him 60+45=105 seconds to run a lap.  Then, as it takes him 3 minutes to walk a lap we can say it takes him 3*60=180 seconds to walk a lap.

Thus, in total the minutes he needs if he runs r laps and walk w laps is:

time = 105 r + 180 w

As we know he did his laps in 25 minutes, which are equivalent to 25*60=1500 seconds:

105 r + 180 w = 1500 [equation 1]

We also know he completes 10 laps, which means that"

r + w = 10 [equation 2]

We can subtract w (or r) in both sides of equation 2 to get the value of r as a function of w:

r = 10 - w [equation 2']

Then we can plug equation 2' in equation 1 leaving all in terms of w:

105 r + 180 w = 1500

105 (10 - w) + 180 w = 1500

1050 - 105 w + 180 w = 1500

1050 + 75 w = 1500

If we subtract 1050 in both sides:

75 w = 1500 - 1050

75 w = 450

Dividing both sides by 75 we get the value of w:

w = 450/75

w = 6

So, he walked 6 laps. Then, he must have run the remaining 4 laps.

7 0
3 years ago
Can someone please help me, I don’t get this
leonid [27]

Answer:

Sure Amaya  , the grouping is the parenthesis, right?

Step-by-step explanation:

so  just add up.. the things outside of the parenthesis

-  4^{2} * 4

so exponents come first in the order of what to do... right?

4^{2} =16    okay , got that part, the next part is

16 * 4 = 64   okay got that part,  now

- 64   is what is subtracted from the grouping   , got it?

4 0
3 years ago
Here is a sequence of numbers:
S_A_V [24]

Answer:

Perfect squares

Step-by-step explanation:

Here, we have a list of some numbers and we want to know the name given to these numbers.

Mathematically, these numbers are referred to as perfect squares.

Although all numbers have square roots, not all numbers have integer square root values.

Numbers having integer square root values otherwise known as whole number square root values are referred to as perfect squares.

3 0
3 years ago
-10 + 4<br><br><br>plz heeeeeelp
zimovet [89]

Answer:

-6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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