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Gnesinka [82]
3 years ago
7

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =​

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

 ⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

 ⇒x= (-8+8)/ 3

 ⇒x= 0/ 3

 

⇒x=0

∴x=0  and  y= -2

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Answer:

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7 0
3 years ago
A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days?
Rina8888 [55]
<h3>Answer: $7,018,000</h3>

This value is a little over 7 million dollars

======================================================

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

6 0
3 years ago
6 men can complete a job in 20 days.if the men work at the same rate.how many more are needed to complete the job in 12 days
Vlada [557]
The answer is 5 days. I hope that helped.
6 0
3 years ago
Pls helppp<br> math work<br> bleh
joja [24]

Answer:

q = -2

Step-by-step explanation:

when solving 12q >= -24 you get

q >= -2 (12 divides 24 by 2)

therefore q is greater or equal to -2.

3 0
3 years ago
20. The H.M. between 2 and 8 is<br>(1 marks )​
e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0
3 years ago
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