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2 years ago

Explain how to isolate the variable in the equation -2/3n + 7 = 15

Mathematics

1 answer:

vodka [1.7K]2 years ago

7 0

Answer:

n = -12

Step-by-step explanation:

(-2/3)n + 7 = 15

(-2/3)n+7-7 = 15-7 Subtract by 7 on both sides

(-2/3)n = 8 Multiply by the reciprocal of the fraction, which is

(-2/3)n*(-3/2) = 8(-3/2) This makes it so you get n *1 and isolates n.

n = -24/2 = -12

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Romashka [77]

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1 year ago

Which point(s) are solutions to the inequality -x - 2y > 3? Select all that apply.

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2 years ago

If angle ABC equals 130, what would the vertical angle equal to?

Mariulka [41]

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Step-by-step explanation:

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2 years ago

Convert 5 square root of a into exponential form?

stich3 [128]

Answer:

The answer is: " $5a^\frac{1}{2}$ " .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a" ; into "exponential form".

Note that "5 square root of a" ;

or; " 5 root a " ;

means: " 5 times the {square root of the variable, "a" };

or : " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as: " $5\sqrt{a}$ " .

_______________________________________________

Note the following property of exponents:

$\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n$ .

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So; to write: " √a " ; as an exponent :

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Note:

" $\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}$ " .

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So:

" $\sqrt{a} = a^\frac{1}{2}$ " ;

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And:

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" $5\sqrt{a} = 5a^\frac{1}{2}$ " .

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→ The answer is: " $5a^\frac{1}{2}$ " .

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Hope this helps!

Best wishes in your academic endeavors

— and within the "Brainly" community!

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6 0

2 years ago

A standard six-sided die is rolled twice and the top faces are observed. What is the probability that the sum of the numbers on

melisa1 [442]

Answer:

A standard six-sided die is rolled twice and the top faces are observed and the probability that the sum of the numbers on the top faces is 10 is $\frac{1}{12}$

Solution:

The sample space of two dice outcomes is given as follows:

{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4, 1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5, 1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6, 1) (6,2) (6,3) (6,4) (6,5) (6,6) }

Total number of events n(s) = 36

Expected Outcomes = {(4, 6), (5, 5), (6, 4)}

Number of favorable outcomes n(E) = 3

Probability (sum of numbers on the top faces is 10) = $\frac{n(E)}{n(s)}$ = $\frac{3}{36}$ = $\frac{1}{12}$

Therefore the probability that the sum of the numbers on the top faces is 10 is $\frac{1}{12}$

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3 years ago