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3 years ago

Which property of equality could be used to solve x -(-6) = 18?

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Answer: subtraction property

x-(-6)=18
x+6=18
Subtract 6 from both sides
And you get x=12

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YOU RRR MEH HEROOOZZ! PUHLEASZEEE ITS 10:30pm!!

avanturin [10]

Answer:

$x(35)\approx 11.8$

Step-by-step explanation:

Modeling With Functions

We have a table of values of speeds vs distance taken for a car to stop. We are required to find a model that uses the square root and fits the given data to predict other values of d as a function of v.

By the nature of the problem, we can know that for v=0, d must be 0 too. So our model won't include a vertical shift or independent term. Being v the speed of the car and x the distance it takes to stop, we use the following model

$x(v)=A\sqrt{v}$

We must find A to make the function fit the data. Let's use the first point (v,x); (20,9)

$9=A\sqrt{20}$

Solving for A

$\displaystyle A=\frac{9}{\sqrt{20}}$

$A\approx 2$

Then we have

$x(v)=2\sqrt{v}$

Evaluating for v=35

$x(35)=2\sqrt{35}=11.83$

$\boxed{x(35)\approx 11.8}$

Last option

8 0

3 years ago

1 question geometry, thanks :)

Yuri [45]

Point B is located at (-6, 5)

Multiply each coordinate by the scale factor 3 to get

-6*3 = -18

5*3 = 15

The point B' is located at (-18, 15)

3 0

3 years ago

What is (-m)⁻³n if m = 2 and n = -24?

Galina-37 [17]

Answer:

-3

Step-by-step explanation:

(-2)^-3 x (-24)

(-2)^3 becomes 1/(-2)^3 in order to make the negative exponent a positive one.

then, you do 1/-8 (the -8 is the (-2)^3 simplified) x -24

1/-8 x (24) = 24/-8 = -3.

Hope this helps! :)

4 0

3 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Job a pays $9.95 per hour, 40 hours per week.

OLEGan [10]

Job A pays better

there are roughly 52 weeks in a year so multiply that by 40 to get the total hours worked in a year. = 2,080

2,080 hours worked per year multiplied by the hourly pay 9.95 = 20,696

Job A pays $20,696 per year

Job B only pays $17,500

4 0

3 years ago

Read 2 more answers