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shutvik [7]
3 years ago
13

18X - 15+13X - 11+4x + 1=180 what’s x?

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

Answer: x equals forty one over five

Step-by-step explanation: Add the numbers 18x-15+3x-11+4x+1=180 18x-25+3x+4x=180 then you combine like terms and you get, 18x-25+3x+4x=180 25x-25=180 then you add 5 to both sides of the equation 25x-25=180. 25x-25+25=180+25 then you simplify then you add the numbers 25x=205 then you divide both sides of the equation by the same term 25x=205 25x/25 = 205/25 then you simplify, you cancel terms that are in both the numerator and denominator then you divide the numbers and you get, x equals forty one over five.

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A beef stew recipe calls for 3 cups of vegetable juice. Find the number of fluid ounces of vegetable juice needed for the recipe
gladu [14]

Answer:

24 fluid ounces

Step-by-step explanation:

6 0
3 years ago
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Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont
Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

<em><u>The question is </u></em>

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

0\ kWh \leq x < 400\ kWh

The price is equal to

y=\$30

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh  and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

x\geq 400\ kWh

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

y=0.097x

<em>Find the range</em>

For x=400 kWh

y=0.097(400)=\$38.8

so

y\geq \$38.8

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7 0
3 years ago
4/5=/20 math...........
Mumz [18]

Answer:

1.) 16/20

2.) 15/35

3.) 12/9

4.) 52/60

5.) 9 inches

6.) 24 centimeters

7.) 16 logs

8.) $15.40

9.) 10 miles

10.) 1.5 inches

I hope this is good enough:

7 0
3 years ago
7260÷91= please show the work
Degger [83]
7260÷91

91 goes into 726 7 times

with 890 left 91 goes into it 9 time with the remainder of 71


the answer is 79 r 71
6 0
3 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
3 years ago
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