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## Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid \$12.50 per hour. On Sundays, she babysits at the Smith’s for 4 hours and is paid \$14.50 per hour. Rachel earns \$____on Saturdays and \$____on Sundays. She earns \$____more on Sundays than on Saturdays.

Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid \$12.50 per hour. On Sundays, she babysits at the Smith’s for 4 hours and is paid \$14.50 per hour. Rachel earns \$____on Saturdays and \$____on Sundays. She earns \$____more on Sundays than on Saturdays.

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## Janitor supply produces an industrial cleaning powder that requires 40 grams of material at \$0.10 per gram and .25 direct labor hours at \$12.00 per hour. overhead is assigned at the rate of \$18 per direct labor hour. what is the total standard cost for one unit of product that would appear on a standard cost card? \$7.00. \$8.50. \$11.50. \$7.50. \$25.00.

Janitor supply produces an industrial cleaning powder that requires 40 grams of material at \$0.10 per gram and .25 direct labor hours at \$12.00 per hour. overhead is assigned at the rate of \$18 per direct labor hour. what is the total standard cost for one unit of product that would appear on a standard cost card? \$7.00. \$8.50. \$11.50. \$7.50. \$25.00.

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## Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?

To answer this problem, let us define that:

x = amount of time Joey can paint a room in hours

1.5 x = amount of time Tina can paint a room in hours

Each person can complete 1 job in the specified amount of
time.

1 job / x hours = rate of Joey

1job / 1.5 x hours = rate of Tina

By adding the two, they can paint the room (1 job) in 6
hours. Therefore:

(1 / x) + (1 / 1.5 x) = 1 / 6

Multiplying whole equation with 6 (x) (1.5 x):

6 (1.5 x) + 6 x = x (1.5 x)

9 x + 6 x = 1.5 x^2

Dividing both sides with x:

15 = 1.5 x

x = 10 hours

Therefore the time it will take Tina, the slower person, is
1.5x = 15 hours

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## A machine can fill a box with twenty pencils in 30 seconds. How many boxes can the machine fill in 2 hours?

It should be 4,800 pencils in two hours.
And
240 boxes
Edit:
Details:
20 pencils in 30 sec
multiply all by two so we are working in min
40 Pencils in 1 min
multiply it all by 60
2400 Pencils in an hour
multiply by two
4800 in two hours

Edit two:
4800÷20=﻿﻿﻿240
240 BOXES

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## A computer technician charges \$32.50 per hour plus a \$75.00 service charge. Your father's firm hires him to hook up his company's internet access . The technician spends h hours to complete the job? How much is his total bill?

A computer technician charges \$32.50 per hour plus a \$75.00 service charge. Your father’s firm hires him to hook up his company’s internet access . The technician spends h hours to complete the job? How much is his total bill?

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## Julie is a math tutor. She charges each student \$210 for the first 7 hours of tutoring and \$20 for each additional hour. When the number of hours (h) that Julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (A) that Julie earns in dollars is . If Julie earns \$410 tutoring one student, the total number of hours she spent tutoring the student is .

Julie is a math tutor. She charges each student \$210 for the first 7 hours of tutoring and \$20 for each additional hour. When the number of hours (h) that Julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (A) that Julie earns in dollars is . If Julie earns \$410 tutoring one student, the total number of hours she spent tutoring the student is .

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## Sam is measuring the velocity of a car at different times. After two hours, the velocity of the car was 50km/h. After six hours, the velocity of the car is 54km/h. Part A: Write an equation in two variables in standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5points) Part B: How can you graph the obtained in Part A for the first seven hours? (5points)

You are given the time and speed so from there you can get the points (2,50) and (6,54) once you got that you can see how the slope is 1 and
b=48
x-y=-48 (standard form)

part B=
1    49
2    50
3    51
4    52
5    53
6    54
7    55

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## If joe drives 30 mph 1/2 an hour and then 60 for 2 hours, then how far did he drive

135 miles

Step-by-step explanation:

Distance = speed × Time,

Given,

Speed = 30 mph,

Time = hour,

Thus, distance = = 15 miles,

Now, speed = 60 mph,

time = 2 hours,

So, distance = 60 × 2= 120 miles,

Hence, the total distance covered = 15 miles + 120 miles = 135 miles.

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## Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x) = 2(0.8)x Which graph best represents the function? graph of function f of x equals 0.8 multiplied by 2 to the power of x graph of function f of x equals 0.8 to the power of x graph of function f of x equals 2 to the power of x function of f of x equal 2 multiplied by 0.8 to the power of x

After Greg makes the pudding 1 time, it takes him  hours to make it.

After Greg makes the pudding 2 times, it takes him  hours to make it

After Greg makes the pudding 2 times, it takes him  hours to make it

so The function is

Answer: f of x equals 2 multiplied by 0.8 to the power of x

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## Jason Charges \$20 flat rate consulation fee plus \$15 per hour for yardwork. He makes \$170 on a job. How many hours did Jason work ?

Jason Charges \$20 flat rate consulation fee plus \$15 per hour for yardwork. He makes \$170 on a job. How many hours did Jason work ?

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## The average person falls asleep in seven minutes, but I couldn’t sleep, not after hours, and it made my boots lighter to be around his things, and to touch stuff that he had touched, and to make the hangers hang a little straighter, even though I knew it didn’t matter. How does the narration affect Oskar’s credibility in this excerpt? His insomnia renders him sleep deprived and confused. His efforts to soothe himself render him earnest and genuine. His obsessive straightening makes him seem unstable. His hopeless resignation makes him seem desperate.

The correct answer is B) his efforts to soothe himself rendered him earnest and genuine.

The narrator affects Oskar’s credibility in the excerpt in that his efforts to soothe himself rendered him earnest and genuine.

The passage is an excerpt of the novel “Extremely Loud And Incredibly Close”, written by Jonathan Safran Foer in 2005. In the story, the narrator is Oskar Shell, a 9-year-old boy. In the story, Oskar finds a key that belonged to his father that was killed in the terrible incidents of the September 11 terrorists attacks in the World Trade Center, in New York. So, regarding the excerpt, the narrator affects Oskar’s credibility in that his efforts to soothe himself rendered him earnest and genuine.

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## T takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

T takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

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## Two groups of students were asked how many hours they spent reading each day. The table below shows the numbers for each group: Group A 1 2 1 1 3 3 2 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true? The interquartile range for Group A students is 0.5 less than the interquartile range for Group B students. The interquartile range for Group A students is equal to the interquartile range for Group B students. The interquartile range for Group A employees is 0.5 more than to the interquartile range for Group B students. The interquartile range for Group A employees is 1 more than the interquartile range for Group B students.

Solution:

Data represented as number of hours spent in studying by Group A Students:

1,2,1,1,3,3,2,2,3

Arranging it in ascending order: 1,1,1 ,2, 2, 2, 3, 3, 3,

As number of terms is odd, The median will be middle value of observation.Which is 2.

The Data arranged in ascending order are , (1,1,1,2),2(2,3,3,3).

Median of (1,1,1,2) = =1

Median of (2,3,3,3)==3

=Interquartile Range ==3-1=2

For Data Set 2,

The Data for group B students are:  3   2 3 2 2 2 1 1 2

Arranging in ascending order: 1,1,2,2,2,2,2,3,3

total number of observation = 9

Median = 2

Arranging the data as : (1,1,2,2) 2,(2,2,3,3)

Median of (1,1,2,2)= Number of observation is 4 which is even , so Median= =

Median of (2,2,3,3)=

S=Interquartile Range = =

Interquartile range for Group A Students =Interquartile range for Group B students + 1

Option (D) The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

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## A teacher can grade 25 papers in 4 hours. How many papers can he grade in 6 hours?

A teacher can grade 25 papers in 4 hours. How many papers can he grade in 6 hours?

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## The number of hours required to do a painting job is represented by the function f(x)=2/x, where f(x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job? a.{1.0, 0.9, 0.8, 0.7 0.2} b.{0.9, 0.8, 0.6, 0.4, 0.1} c.{0.9, 0.84, 0.73, 0.59, 0.2} d.{0.5. 0.2, 0.14, 0.125, 0.11}

the numbers given in the brackets thing the {4,10,14,16,18} is the domain, the number of people possible, substitute them to find the range

f(4)=2/4=1/2=0.5
f(10)=2/10=0.2
f(14)=2/14=1/7=0.142
f(16)=2/16=1/8=0.125
f(18)=2/18=1/9=0.1111

so the time would be {0.5,0.2,0.14,0.125,0.11}

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## If it takes 10 men 4 hours to repair a barn, how long will it take 8 men to complete the task?

If it takes 10 men 4 hours to repair a barn, how long will it take 8 men to complete the task?

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## Donna the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 6 who did Plan B. On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Donna trained her Wednesday clients for a total of 12 hours and her Thursday clients for a total of 6 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)

X=hours of plan A
y=hours of plan B

wed: 5x+6y=12
thu: 3x+2y=6

so
5x+6y=12 and
3x+2y=6
we can eliminate y’s by multiplying 2nd equation by -3 and adding to first equation

-9x-6y=-18
5x+6y=12 +
-4x+0y=-6

-4x=-6
divid both sides by -4
x=-6/-4
x=3/2
x=1.5

sub back

3x+2y=6
3(1.5)+2y=6
4.5+2y=6
2y=1.5
y=0.75

Plan A=1.5 hours
Plan B=0.75 hours

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## In An Experiemnt, A Snail Was Observed To Have Moved A Distance Of 0.5 Meters In 2 Hours What Rate Movement Was Observed In This Experiment a. 4 hours per meter b. 1 meter hour c. 0.1 d.0.25 meters per hour

Rate of movement of snail, s = 0.25 meters per hour

Explanation:

It is given that,

Distance covered by snail, d = 0.5 m

The snail moved this distance in 2 hours

Since, 1 hour = 3600 seconds

So, 2 hour = 7200 seconds

We have to find the rate of movement of snail i.e. s

So,

s = 0.000069 m/s

Converting m/s to m/h

So, s = 0.248 m/h

or s = 0.25 meters per hour

Hence, the correct option is (d)

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## A ship traveled for 4 hours heading west and for 5 hours heading north. If the total distance traveled was 119 miles, and the ship traveled 5 miles per hour faster west, at what speed was the ship traveling west

To answer this problem, we will use the formula of
hypotenuse:

c^2 = a^2 + b^2

Where,

c = total distance traveled / displacement = 119 miles

a = distance traveled north = 5 hours * x mph =  5 x

b = distance traveled west = 4 hours * (x + 5) mph = 4 (x
+ 5)

Substituting to the equation:

119^2 = (5 x)^2 + [4(x + 5)]^2

14,161 = 25 x^2 + 16 (x + 5)^2

14,161 = 25 x^2 + 16 (x^2 + 10 x + 25)

14,161 = 25 x^2 + 16 x^2 + 160 x + 400

0 = 41 x^2 + 160 x – 13,761

x =[ – b ± sqrt (b^2 – 4ac)]/ 2a

x = [- 160 ± sqrt (160^2 – 4 * 41 * (– 13,761))] / 2 * 41

x = – 1.95 ± 18.42

x = -20.37 , 16.47

Since speed cannot be negative, therefore x = 16.47

Therefore the speed of the ship travelling west is:

x +

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## Bryson is picking green beans. He has already picked bushels and picks at a rate of of a bushel each hour. The equation can be used to represent h, the number of hours it will take him to pick 6 bushels. What is the value of h?

Bryson is picking green beans. He has already picked bushels and picks at a rate of of a bushel each hour. The equation can be used to represent h, the number of hours it will take him to pick 6 bushels. What is the value of h?

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## I ___ in bed for several hours because i have such a bad headache. A. am laying B. have lain C. have laid D. lay * Most Likely Its C But To Be On The Safe Said, Im Not Sure *

I ___ in bed for several hours because i have such a bad headache. A. am laying B. have lain C. have laid D. lay * Most Likely Its C But To Be On The Safe Said, Im Not Sure *

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## Austin is comparing the prices of two truck rental companies. Company a charges \$4 per hour and an additional \$70 as service charges. Company b charges \$5 per hour and an additional \$60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?

Company a: 70 plus 4 times (how many hours)
company b: 60\$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars

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## On examining a woman who gave birth 5 hours ago, the nurse finds that the woman has completely saturated a perineal pad within 15 minutes. which action by the nurse should be implemented first?

On examining a woman who gave birth 5 hours ago, the nurse finds that the woman has completely saturated a perineal pad within 15 minutes. which action by the nurse should be implemented first?

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## You are a marketing director for a large food manufacturer. lately, you have noticed that you are spending a great deal more time at work, sometimes 14 hours a day, because your best friend, who is head of product development, continues to ask you to serve on taste test panels for new products. which type(s) of conflict are you experiencing

The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = \$1,043,400 / 22,200 units sold

SP = \$47

Second, calculate all expenses:

Direct materials per unit = \$234,948 / 27,970 units
manufactured = \$8.4

Direct labor per unit = \$131,459 / 27,970 units
manufactured = \$4.7

Variable manufacturing overhead per unit = \$240,542 / 27,970
units manufactured = \$8.6

Variable selling expenses per unit = \$113,220 / 22,200
units sold = \$5.1

TE = \$26.8

Therefore the CM is:

CM = SP – TE

CM = \$47 – \$26.8

CM = \$20.2 per unit

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## Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned \$120. The next week, she earned \$60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate.

Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned \$120. The next week, she earned \$60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate.