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3 years ago

How do you solve this problem 5(x-3)+7=5x-8

1 answer:

4 0

5(x-3)+7=5x-8
5*x=5x 5*3=15
5x-15+7=5x-8
15+7=22
5x-22=5x-8
5x+5x=10x
10x-22=8
22+8=30
10x=30
---------- (Divide by 10 to get x alone)
10
x=3

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Can one please help me with this question

Nostrana [21]

Answer:

254.34 cm^2

Step-by-step explanation:

Volume of cylinder = $\pi r^{2} h$

We know that the diameter is 6, which means that the radius is 3 cm.

Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.

Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.

Substituting into the formula we will end up with 254.34 cm^2.

8 0

3 years ago

Read 2 more answers

Helpppp plssssss I need to get my grade up in math

KatRina [158]

Answer: 1.25 square feet

This converts to the improper fraction 5/4

===========================================================

Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

Add up the two results: 0.5+0.75 = 1.25 square feet

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If you need the answer as an improper fraction, then,

1.25 = 1 + 0.25

1.25 = 1 + 1/4

1.25 = 4/4 + 1/4

1.25 = (4+1)/4

1.25 = 5/4

3 0

3 years ago

The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?

bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0

3 years ago

PLEASE HELP ME I DO'T UNDERSTAND DIS MATh

sladkih [1.3K]

Answer:

60%

Step-by-step explanation:

A percent is technically just a fraction over 100.

To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:

(1560 / 2600) * 100 = 0.6 * 100 = 60/100

Thus, we know that the percent is 60%.

3 0

2 years ago

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars

velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .