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vlabodo [156]
3 years ago
6

Can someone help me solve this step by step?

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

41 and 77

Step-by-step explanation:

x: his age the first time he went to space

y: his age the second time he went to space

the second time he went to space he was 5 years younger than twice the age when he went his first time, then:

y = 2x - 5

the sum of both ages is 118, then:

x + y = 118

If you replace y = 2x - 5 in x + y =118:

x + 2x - 5 = 118

3x = 123

x = 41

replacing x:

41 + y = 118

y = 118 - 41

y = 77

so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)

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#10) Cross multiply and divide to solve for x*<br> 2/5 = X/70
Annette [7]

Answer:

28=x

Step-by-step explanation:

2/5=x/70

(70/1)(2/5)=x/70(70/1)

here you cancel 70 into 5 to get 14 and on the other side cancel both the 70s

14*2=x

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3 years ago
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16x-10y=10<br>-8x-6y=6<br><br>can someone help me understand this question?
kkurt [141]
This is a system of equations, and I am assuming that you are being asked to solve it.

This is finding the point where these two lines intersect.

The key to solving these algebraically is finding one part in terms of another part and substituting.

We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.

We have 
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and 
2(-8x-6y=6).

The last equation is rewritten as -16x-12y=12.

Now, we cancel the x-terms.

16x-10y=10
-16x-12y=12

-22y=22 \\ y = -1

We have our value for y, so we just plug this back into any of the original equations to get x.

16x-10(-1)=10\\16x=0\\x=0

Thus, the solution to the system of equations is the point (0,-1).
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4 years ago
(Pls help asap)
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if a product is it in late you receive 8/9 of you earn points you receive 72 points on your Late project how many points did you
igor_vitrenko [27]
Hello! So if your project is turned in late, you get 8/9 of the points you would've received. In this case, you only received 72 points. To find out how many points you lost, first, let's find the score you could've gotten if it was turned in on time. Let's set up a proportion like this: 72/x = 8/9. Cross multiply the values to get 648 = 8x. Divide by 8 to isolate the "x" and you get x = 81. You could've originally gotten an 81. However, you only got a 72. To find out the amount of points you lost, subtract 72 from 81. 81 - 72 = 9. You lost 9 points from your original grade.
3 0
3 years ago
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