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maks197457 [2]
3 years ago
5

Substitution.show your work ​

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

x=-3 and y=-3

Step-by-step explanation:

Given the following simultaneous equations:

6x-6y=0\\3x+y=-12\\

We take the first equation and rearrange it:

6x-6y=0\\6x-6y+6y=0+6y\\6x=6y\\x=y

We can substitute in the second equation to find the value of x:

3x+x=-12\\4x=-12\\x=-3

Since x=y therefore y=-3.

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3 years ago
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It takes Alexandra 2 hours and 44 minutes to cut the grass. Austin needs 3 hours and 14 minutes to cut the grass. If they work t
Vedmedyk [2.9K]
For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)

The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).

(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3

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2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds

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Learn to use the fraction functions on your calculator. They can be very helpful.
6 0
4 years ago
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0
2 years ago
Need help in algebra fast <br> Anything helps
alex41 [277]

Answer:

c

Step-by-step explanation:

For this question you can say d = 15 feet so we need the t then you can say :  

15 = l 130 - 25t l ⇒ because of the absolute value you should say :  

1) 130 - 25t = 15  ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec  

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec  

so the answer is c :))

i hope this is helpful

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3 years ago
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liubo4ka [24]

Answer:

Step-by-step explanation:

The square indicates that the total angle is 90 degrees so

d+59=90

d=90-59

d=31 degrees

4 0
3 years ago
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