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V125BC [204]
3 years ago
9

X+(3x+2)+(1)/(2)x=29

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

\boxed{x=6}

Step-by-step explanation:

x+3x+2+0.5x=29

\sf Combine \ like \ terms.

4.5x+2=29

\sf Subtract \ 2 \ from \ both \ sides.

4.5x+2-2=29-2

4.5x=27

\sf Divide \ both \ sides \ by \ 4.5.

\displaystyle \frac{4.5x}{4.5} =\frac{27}{4.5}

x=6

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Find the perimeter and the area of the polygon with the given vertices.
7nadin3 [17]
Answer:
Area : 45 Perimeter : 2,025

Explanation:
Area: 5 times 9 equals 45. The 5 is the polygon’s base, the 9 is the polygon’s height.
Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.

Glad I could help! :)
3 0
3 years ago
If the volume of the solid shown in the figure is 438 cubic​ inches, find the value of x.
svetoff [14.1K]

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Step-by-step explanation:

what figure

7 0
1 year ago
Janet is painting her shed. She buys some gallon-sized paint cans that cost $15 each and 2 quart-sized paint cans that cost $4 e
blondinia [14]

1 gallon cost $15

1 quarts cost $4

1 quarts = 1/4 gallon

15x for number of gallon cans

2 cans at $4 each = $8

15x + 8 = 53

Subtract 8 from both sides:

15x = 53-8

15x = 45

Divide both sides by 15:

x = 45/15

x = 3

She bought 3 gallon cans of paint

Plus she bought 2 quart cans, which is equal to a half gallon.

She bought a total of 3.5 gallons of paint.

7 0
3 years ago
Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his start
ipn [44]
The first one
Running forward is adding
Running opposite direction is subtracting
5-5
5-6
6-5
6-0

5-5 is the only one that equals 0
5 0
3 years ago
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces fr
taurus [48]

Answer:

A guarantee of 6.24 years should be offered.

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 = 10, \sigma = 2

If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?

The 3rd percentile, that is, the value of X when Z has a pvalue of 0.03. So X when Z = -1.88.

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

-1.88 = \frac{X - 10}{2}

X - 10 = -1.88*2

X = 6.24

A guarantee of 6.24 years should be offered.

7 0
3 years ago
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