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2 years ago

2(n+5)=-2 I need the steps

Mathematics

1 answer:

Eva8 [605]2 years ago

6 0

Answer:

n = -6

Step-by-step explanation:

2 ( n + 5 ) = -2

First, solve the brackets.

2n + 10 = -2

Now take 10 to the right side.

2n + 10 -10 = -2 - 10

2n = -12

Then divide both sides by 2.

$\frac{2n}{2} =\frac{-12}{2}$

And now you'll the value of n.

n = ( -6 )

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A package of 3 pairs of insulated costs $22. 47 What is the unit price of the pairs of gloves?

Rasek [7]

Answer:

7.49

Step-by-step explanation:

22.47 divided by 3

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2 years ago

Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean)

natka813 [3]

Answer:

Afternoon class has more students.

Step-by-step explanation:

Let m be the number of students in the morning class and n be the number of students in the afternoon class.

The average score for the students in the morning class was 80, then the sum of their scores is $80m.$

The average score for the students in the afternoon class was 86, then the sum of their scores is $86n.$

The sum of the scores of both classes is

$80m+86n$

and the average score is

$\dfrac{80m+86n}{m+n}$

The average (arithmetic mean) score for the two classes combined was 84, then

$\dfrac{80m+86n}{m+n}=84\\ \\ 80m+86n=84m+84n\\ \\86n-84n=84m-80m\\ \\2n=4m\\ \\n=2m$

This means n is greater, so afternoon class has more students.

7 0

3 years ago

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Levart [38]

Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

$2y_{m}=y_{1}+y_{2}$

$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

$x_{2}=(2*2)-1$

$x_{2}=3$

Calculating $y_{2}$ :

$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

$x_{2}=19$

$y_{2}=(2*6)-19$

$y_{2}$ = -7

$(x_{2},y_{2})=(19,-7)$

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3 years ago

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Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.

Nimfa-mama [501]

Let x is the interest rate

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Answer: annual interest rate was 8.5%

</span>

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2 years ago

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natka813 [3]

Answer:

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Step-by-step explanation:

We know there is 120 seats on a balcony and that is $\frac{1}{5}$ of the total seats, we want to find the total number of seats so,

120 seats = $\frac{1}{5}$

We know that a whole fraction sums to 1 so for example $\frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1$

120 seats = $\frac{1}{5}$

Multiply both sides to make it a whole fraction

600 seats = $\frac{5}{5} =1$

So if there is 120 seats and that number is only $\frac{1}{5}$ of the total number of seats then the total number of seats is 600

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3 years ago

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