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yan [13]
2 years ago
15

Find the solution to the system of linear equations.

Mathematics
1 answer:
natali 33 [55]2 years ago
6 0

Answer:

     x = -1          y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other.  That makes the problem so much easier to solve.  All you have  to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

<u>-2x - y = 0</u>

    - 5y = -10

        y = 2        Substitute y = 2 into the first equation.  2x - 4(2) = -10

                                                                                          2x - 8 = -10

                                                                                               2x = -2

                                                                                                 x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

<u>    </u>

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Write a division problem whose quotient has its first digit in the hundreds place
Margaret [11]
Quotient is another name for the answer to a division problem

the hundreds place is the 3rd number before the decimal, 9999999.0
                                                                                           ^this one

so you need to find a division problem that equals something between 100 and 999

1000 divided by 10 is a good one, the answer to that problem is 100, and 100 has its first digit in the hundreds place.
8 0
2 years ago
Solve the equation <br>50=4(x-7)-6(3x-6)
rusak2 [61]

we are given

50=4(x-7)-6(3x-6)

Firstly , we can distribute

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now, we can combine like terms

50=-14x+8

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now, we can solve for x

and we get

x=-3...........Answer

3 0
3 years ago
Read 2 more answers
A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Strike441 [17]
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4 0
3 years ago
What is the answer for this please 23÷23​
baherus [9]

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1. So, 23 divided by 23 is 1.

8 0
1 year ago
Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

Z = \frac{X - \mu}{\sigma}

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

4 0
2 years ago
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