Find -3 3/4 + 1/2:<br>model the expression in a number line by drawing an arrow

6x/5 - x = x/15 - 10/3

Vadim26 [7]

Answer:

x=-25

6x/5 - x = x/15 - 10/3

x/5 = x/15 - 10/3

3x = x - 50

3x - x = -50

2x = -50

x = -50/2

X=-25

4 0

2 years ago

Read 2 more answers

Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

6 0

2 years ago

The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010 use th

stepan [7]

Answer: Mean=4.11

Median=4.44

Step-by-step explanation:

Using a graphing calculator, enter the values into the first list. Then run one-variable statistics on the list.

By hand, to find the mean, add together all of the values:

3.25+3.25+3.66+3.83+4.57+4.52+4.74+4.69+4.44 = 36.95

Divide by the total number of data points, 9:

36.95/9 = 4.11

To find the median, order the data from least to greatest:

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

The middle number is 4.44

Mark me as brainliest

5 0

3 years ago

Read 2 more answers

the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne

Sladkaya [172]

Answer:

a. 2116 miles

b. 105.8 gallons

c. $305.76

d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

round-trip distance = 2 × one-way distance

round-trip distance = 2 × 1058 miles = 2116 miles

__

The gas used will be the distance divided by miles per gallon.

gas used = round-trip distance / miles-per-gallon

gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

The cost of gas will be the product of cost per gallon and number of gallons.

cost of gas = cost-per-gallon × gallons

cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

(cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

cost-per-gallon = (cost of gas)/105.8

3 0

1 year ago

Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou

xxTIMURxx [149]

Answer:

First, we need to find how far ahead Marshall was. Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall. In order to do this, we need to find how much faster Brett is going than Marshall. We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40. So, Brett is catching up to Marshall at 40 mph. Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles. We find this by dividing 40 miles per hour by 20. This is equal to 1/2 hour. So, it will take Brett 0.5 hours to catch up to Marshall. This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone. Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30. Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles. Since Brett and Marshall went the same distance, our answer is correct.

4 0

3 years ago

Find -3 3/4 + 1/2:model the expression in a number line by drawing an arrow​

Find -3 3/4 + 1/2:model the expression in a number line by drawing an arrow