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TiliK225 [7]
2 years ago
11

I need help in learning how to solve this equation using substitution:

Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
Luden [163]
It would be (x)(x+7)=170
If you want it solved, then you would get:
x^{2} +7x-170=0
(x+17)(x-10)=0
And since you can't have a negative length (-17), x=10
So your side lengths would be 10 and 17 (10+7), which would give you an area of 170.
Hope that helps.
8 0
3 years ago
Read 2 more answers
What are all these answers
Xelga [282]
Number is an isosceles triangle number seven is a right angle triangle number 9 I believe is a scalene triangle number 10 is a right angle triangle I also believe 11 is a scalene triangle and I believe number 8 is equilateral triangle
8 0
3 years ago
What is the radius of a Ø6.75" circle? 3.375" or 3.750" or 4.375" or 6.750"
zysi [14]

Answer:4.375

Step-by-step explanation:

4 0
2 years ago
Use the following information to answer problems 14-16: Suppose that in a large metropolitan area, 82% of all households have ca
Helen [10]

Answer:

66.6% or 0.66

Step-by-step explanation:

82% or 0.82 of All households have cable TV.

X = The number of households in a group of 6, that have cable TV.

You wish to find the proportion or percentage of groups for which EXACTLY 4 of 6 households will have cable TV.

82% of 6 is = 4.92

Approximately 4.92 out of 6 households, have cable TV.

Using this figure, you can now find out what % of 6 will give you 4.

Cross multiply:

0.82 - 4.92

M - 4

M = (4×0.82) ÷ 4.92 = 3.28÷4.92 = 0.666

Hence, 66.6% of 6 households, have cable TV. In other words, exactly 4 households (X=4) have cable TV.

To test, you can find what 66% of 6 is. You will get 4.

6 0
3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are 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 = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
3 years ago
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