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Dafna11 [192]
3 years ago
9

Use substitution to solve the linear system of equations. 5x - y = 15 -10x + 2y = -30

Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

Infinitely Many Solutions

Step-by-step explanation:

5x-y=15

-10x+2y=-30

-----------------

y=5x-15

-10x+2(5x-15)=-30

-10x+10x-30=-30

-30=-30

infinitely many solutions

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Write and solve an equation to find the number: The sum of three times a number and 12 is 45.
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Step-by-step explanation:

3x+12=45

3x=45-12

3x=33

3x/3=33/3

x=11

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3 years ago
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3 years ago
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i
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Answer:

8.182X10^8 $pounds

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building =7.3X 10^8 pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

=8.82 X 10^7

The addition of the two:

=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds

Comparing with the form: aX10^b

a=8.182 and b=8

4 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
3 years ago
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
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23/10 = 2.3 pages per minute.
23. 1
10 = x
23x = 10
X = 10/23 of a minute per page.
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