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lozanna [386]
4 years ago
6

2n + 3 and 12n - 6 what's the answer and an equivalent

Mathematics
1 answer:
Annette [7]4 years ago
3 0

Answer:

9/10

Step-by-step explanation:

2n+3=12n-6

3=12n-2n-6

3=10n-6

10n=3+6

10n=9

n=9/10

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Solve for z. 4z+12=28
Romashka-Z-Leto [24]

Answer: z=4

Step-by-step explanation:

4z+12=28

-12 on both sides

28-12=16

4z=16

divide 4 on both sides

z=4

5 0
3 years ago
Read 2 more answers
In the △ABC, the altitude AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Answer: Case 1 : N∈ BC . It is . If the case is po
vaieri [72.5K]

Answer:AB = 30 in and BC = 50 in.

We use Pythagorean theorem to solve this.  Since AN is an altitude, this means that it is perpendicular to BC.  This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:

18²+24² = AB²

324 + 576 = AB²

900 = AB²

Take the square root of both sides:

√900 = √AB²

30 = AB

NC and AN form the legs of the other right triangle, with AC being the hypotenuse:

24²+NC² = 40²

576 + NC² = 1600

Subtract 576 from both sides:

576 + NC² - 576 = 1600 - 576

NC² = 1024

Take the square root of both sides:

√NC² = √1024

NC = 32

BC = BN + NC = 18 + 32 = 50

Step-by-step explanation:

8 0
3 years ago
Please help thanks.​
Andre45 [30]

Answer:

set them equal to each other and solve for x. both those angles should be the same

Step-by-step explanation:

6 0
3 years ago
Suppose SAT Critical Reading scores are normally distributed with a mean of 501 and a standard deviation of 110. A university pl
ICE Princess25 [194]

Answer:

The minimum score required for admission is 558.75.

Step-by-step explanation:

When the distribution is normal, we use 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.

Suppose SAT Critical Reading scores are normally distributed with a mean of 501 and a standard deviation of 110.

This means that \mu = 501, \sigma = 110

A university plans to admit students whose scores are in the top 30%. What is the minimum score required for admission

This is the 100 - 30 = 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525. So

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

0.525 = \frac{X - 501}{110}

X - 501 = 0.525*110

X = 558.75

The minimum score required for admission is 558.75.

7 0
3 years ago
you earn $20 per hour doing landscaping work. Your total earnings depend on the amount of hours you spent landscaping
Brrunno [24]
H = hour
e = earnings

20h = e
8 0
3 years ago
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