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noname [10]
4 years ago
13

3 times a number plus 12 minus 5 times the same number is 22

Mathematics
2 answers:
jarptica [38.1K]4 years ago
8 0
3 times a number (3x) plus 12 (+ 12) minus times the same number (- 5x) is 22.

HERE'S THE EQUATION:

 3x+12-5x=22

COMBINE LIKE TERMS (3x + -5x):

-2x +12 = 22

SUBTRACT 12 TO ISOLATE -2x:

-2x +12 = 22
       -12    -12
= -2x = 10

DIVIDE BY 2 TO ISOLATE X:

\frac{-2x}{-2} =  \frac{10}{-2}

FINAL ANSWER:
x = -5


Katen [24]4 years ago
7 0
The number is 5 because 5 times 3 is 15 plus 12 - 5 is 22 :0
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3 years ago
The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard
arsen [322]

Answer:

A tree with a height of 6.2 ft is 3 standard deviations above the mean

Step-by-step explanation:

⇒ 1^s^t statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

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

In this case we have:  \mu=5\ ft\sigma=0.4\ ft

We have four different values of X and we must calculate the Z-score for each

For X =5.4\ ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.4-5}{0.4}=1

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒2^n^d statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft  

Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒3^r^d statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒4^t^h statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

6 0
3 years ago
For all values of x, f(x)=2x^2 and g(x)= x+1<br> Solve fg(x) = gf(x)
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Answer:

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Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

→ Find gf(x)

2x² + 1

→ Equate them

2x² + 1 = 2x² + 4x+ 2

→ Move everything to the right hand side

0 = 4x + 1

→ Solve

x = -0.25

4 0
2 years ago
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Leona [35]

Answer: What is the measure of ∠ DAB?

And we get that the measure of angle is 32 degrees.

Step-by-step explanation:

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Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
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we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

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