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ankoles [38]
2 years ago
5

Solve for the value of x. Show each of your steps. 7y=8x - 14 ; y= 6

Mathematics
2 answers:
svetlana [45]2 years ago
4 0
When y=6, then in equation 7y=8x-14 we write 6 instead of y:
7×6=8x-14
42=8x -14
8x-14=42 (now we add 14 to both sides of equation)
8x=56 (now we divide by 8 both sides of equation)
x=7

Answer: x=7
pashok25 [27]2 years ago
4 0
7(6)=8×-14
42=8×-14
42+14=8×
56/8=8×/8
×=7
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In ∆ABC, m∠B=α. Find the measure of the angle, in degrees, between the altitudes dropped from the vertices A and C
Sergio [31]

The expression to find the value of the final angle of the triangle will be 180° - 40° - α.

<h3>How to solve the triangle?</h3>

Your information is incomplete as the triangle isn't attached. Therefore, an overview will be given.

Firstly, it's important to know that the total angle in a triangle is 180°. A triangle has three sides. In this case, angle B is given as α.

Let's assume that another angle is given as 40°. Therefore, the expression to find the value of the final angle will be 180° - 40° - α

Learn more about triangles on:

brainly.com/question/17335144

7 0
1 year ago
One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

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 question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so X = 3.06

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \mu = 5.086, \sigma = 0.998

So

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

Z = \frac{3.06 - 5.086}{0.998}

Z = -2.03

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so X = 3.28

For  the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \mu = 4.316, \sigma = 0.558

So

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

Z = \frac{3.28 - 4.316}{0.558}

Z = -1.86

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

5 0
3 years ago
Ted needs an average of at least 70 on his three history tests. He has already scored 85 and 60 on two tests. What is the minimu
baherus [9]
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
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                     ------------------- greater than or equal to 70
                              3
3 0
3 years ago
in a small town 68% of the people own television 78% own radio and 12% neither own television nor radio question 1 represent the
Oksana_A [137]

Answer:

The answer is attached as an image.

Step-by-step explanation:

- If we assume that the space is 100% of the population then:

88% have something and 12% have nothing.

So within the 88% there are 10% who have TV, 20% who have Radio and 58% who have both TV and Radio.

8 0
3 years ago
Why is 1/8 greater than 1/10 but less than 1/3
zzz [600]

because the bigger the bottom or left number is the smaller the value unless t was like 10/10 that's bigger than them all
6 0
2 years ago
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