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3 years ago

If 3 is added to a number and the sum is tripled, the result is 21 more than the number. find the number.

1 answer:

7 0

<span>If 3 is added to the number: x + 3
b) ...and the sum is tripled..
"The sum" is "x + 3" so: 3(x+3)
c) ...the result is 27 more than the number.
27 more than the number is x + 27
d) Put it all together:
3(x + 3) = x + 27
Solve for x:
1) Distribute the left side of the equation:
3x + 9 = x + 27

2) Subtract x from each side of the equation:
2x + 9 = 27
3) Subtract 9 from each side of the equation:
2x = 18
4) Solve for x:
x = 9
Check:
1) x = 9
2) 3(x + 3) = x + 27
3) 3 ([9] + 3) = [9] + 27
4) 3(12) = 9 + 27
5) 36 = 36

So, therefore The answer is correct</span>

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7 0

1 year ago

Read 2 more answers

Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =

Alik [6]

Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:

f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.

Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).

Then -0 + 0 - 0 + c = 18, so c = 18 and

f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.

Go through the same integration process to find f(x).

8 0

2 years ago

Please help thx a bunch

kirza4 [7]

A.
2/3A=-24
time both sides by 3/2
A=-72/2
A=-36

B.
20=-B/0.2
times both sides by 0.2
4=-B
times -1
-4=B

distance between 2 points x and y is |x-y|

so
distance between A and B is distance between -4 and -72 or
|-72-(-4)|=|-72+4|=|-68|=68
the distance is 68

4 0

2 years ago

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s

Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, $\bar x=36800$ σ = 5000

degrees of freedom = n-1 = 12-1 = 11

$H_0: \mu = 33700\ and\ H_a: \mu \neq 33700$

Formula to find the value of z is: $z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Where $\bar x$ is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

$z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}$

$z=2.148$

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0

3 years ago

A car salesman's total earnings, e, is a base salary plus a commission. The salesman has a base salary of $40,000 and receives a

stellarik [79]

E = $40,000 + $200c
$e = 40000 + 200c$

Hope this helps. - M

6 0

3 years ago

If 3 is added to a number and the sum is tripled​, the result is 21 more than the number. find the number.

If 3 is added to a number and the sum is tripled, the result is 21 more than the number. find the number.