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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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## A company is setting its direct materials and direct labor standards for its leading product. Direct material costs from the supplier areâ€‹ \$7 per squareâ€‹ foot, net of purchase discount.â€‹ Freight-in amounts toâ€‹ \$0.10 per square foot. Basic wages of the assembly line personnel areâ€‹ \$19 per hour. Payroll taxes are approximatelyâ€‹ 25% of wages. How much is the direct labor cost standard perâ€‹ hour

The formula for calculating the direct labor standard is:

Direct labor standard = Basic wages + Payroll tax

or

Direct labor standard = Basic wages + 25% of Basic wages

Substituting the given values into the equation:

Direct labor standard = \$19 + 0.25 * \$19

Direct labor standard = \$23.75

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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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## The temperature on a particular day started at -13°F. It rose steadily by 3° each hour. The function y=-13+3xmodels the temperature, ehere x is the number of hpurs and y is the temperature. Graph the equation

The temperature on a particular day started at -13°F. It rose steadily by 3° each hour. The function y=-13+3xmodels the temperature, ehere x is the number of hpurs and y is the temperature. Graph the equation

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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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## How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? how to write a formula

How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? how to write a formula

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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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## Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. Unfortunately, Mark's argument lacks proof that he deserves a raise. In fact, Mark is often late and rarely completes his work on time. But Mark still really needs a raise. Mark just learned that his boss loves the Boston Red Sox and hates the New York Yankees. How can Mark use this knowledge and alter his argument to convince his boss to give him a raise?

Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. Unfortunately, Mark’s argument lacks proof that he deserves a raise. In fact, Mark is often late and rarely completes his work on time. But Mark still really needs a raise. Mark just learned that his boss loves the Boston Red Sox and hates the New York Yankees. How can Mark use this knowledge and alter his argument to convince his boss to give him a raise?

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## Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. If Mark wants to try again and convince his boss that he deserves a raise, how should he change his argument?

Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. If Mark wants to try again and convince his boss that he deserves a raise, how should he change his argument?

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## Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. Identify at least one logical fallacy Mark presents to his boss. Explain why his arguments do not persuade his boss to give him a raise.

Explanation:

One logical fallacy that Mark makes to hi boss is that He has two children at home and one of the children is suffering from serious medical conditions where Mark has to spend more money on his treatment. This is one wrong move in support of his argument to raise his salary.

Moreover Mark arguments to provide a raise is not persuasive  because his explanation does not have any logical reason as to why he deserves a raise. Merely because his colleagues, Rachel and Soledad earns more than Mark does not imply that Mark should also be paid equal or given a raise.

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## Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. What are the logical fallacies in Mark's argument? A. appeal to common opinion and appeal to emotion B. appeal to emotion and false dilemma C. appeal to pity and personal attack D. personal attack and false dilemma

Read the following dialogue: Mark: I deserve a raise! Boss: Why do you deserve a raise? Mark: Both Rachel and Soledad make three dollars more an hour than I do, so I should make the same as they do. Boss: Both Rachel and Soledad have worked here longer than you and always receive top evaluations. Mark: Well, then I deserve a raise because I have a wife and two children at home, one of whom has a very expensive medical condition. Boss: No. What are the logical fallacies in Mark’s argument? A. appeal to common opinion and appeal to emotion B. appeal to emotion and false dilemma C. appeal to pity and personal attack D. personal attack and false dilemma

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## If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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## If a wheel with a radius of 30 inches spins at a rate of 500 revolutions per minute, find the approximate linear velocity in miles per hour.

30 inches @ 500 rpm = 15,000 inches per minute

15,000 inches per minute = 900,000 inches per hour (multiply by 60)

1 mile = 5,280 feet (google-able fact you shouldn’t have to memorize)
1 foot = 12 inches (you probably already know this)
900,000 inches = 75,000 feet (divide by 12)

75,000 feet = 14.20454545454545. . . miles (divide by 5280)

Linear velocity in miles per hour is 14.20454545454545. . . miles per hour.

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## A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hour?

Rewrite “2 1/2 miles” as the improper fraction (5/2) miles.
Divide this by (1/6) hour:

5

2

——– (miles/hour)
1

6

To divide by the fraction 1/6, invert it and multiply.  We get

5                  6
— (miles) * ———— = (30/2) mph = 15 mph
2                  1 hour

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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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## Carlos and his family left for the amsuement park at 8:35 a.M. The trip took 1 hour and 55 minutes. What time did they arrive

Carlos and his family left for the amsuement park at 8:35 a.M. The trip took 1 hour and 55 minutes. What time did they arrive

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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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## A company is setting its direct materials and direct labor standards for its leading product. basic wages of the assembly line personnel are \$19 per hour. payroll taxes are approximately 23% of wages. how much is the direct labor cost standard per hour? (round your answer to the nearest cent.)

A company is setting its direct materials and direct labor standards for its leading product. basic wages of the assembly line personnel are \$19 per hour. payroll taxes are approximately 23% of wages. how much is the direct labor cost standard per hour? (round your answer to the nearest cent.)

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## Paula was feeling sad so she decided to go to a comedy club. after being around happy people for an hour, paula left the club feeling much better. this is an example of

Paula was feeling sad so she decided to go to a comedy club. after being around happy people for an hour, paula left the club feeling much better. this is an example of

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## Which lines in this excerpt from act I of Shakespeare’s Romeo and Juliet reveal that Romeo was avoiding Benvolio? BENVOLIO: Madam, an hour before the worshipped sun Peered forth the golden window of the east, A troubled mind drove me to walk abroad, Where, underneath the grove of sycamore That westward rooteth from this city side, So early walking did I see your son. Towards him I made, but he was ‘ware of me And stole into the covert of the wood. I, measuring his affections by my own, Which then most sought where most might not be found, Being one too many by my weary self, Pursued my humor not pursuing his, And gladly shunned who gladly fled from me.

Since a tiny tender child of four,
There’s nothing that I dreamt of more,
Than to jump aboard a great big ship,
A telescope, a map, a sword, by my hip,
To feel the sea breeze in my hair,
To stroke my parrot on the wood chair,
To be bold and brave and happy as can be,
To trek and travel and sail the seven seas.

8 lines. Rhyme scheme aabbccdd. If I managed to write that in about 4 minutes, you could write something much better and longer in like 30 minutes. You can use my rubbish poem as inspiration lol. Good luck X

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## LAW ENFORCEMENT: A police accident investigator can use the formula S=25L‾‾‾√S=25L to estimate the speed s of a car in miles per hour based on the length l in feet of the skid marks it left. How fast was a car traveling that left skid marks 109 feet long?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.