Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hour. Caleb worked 2 more hours than Landon and they ironed 330 shirts between them. Write a system of equations that could be used to determine the number of hours Caleb worked and the number of hours Landon worked. Define the variables that you use to write the system

Answers

Answer 1

Answer:

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

Step-by-step explanation:

Assume that Caleb worked for x hours and Landon worked for y hours

Caleb worked for x hours

Landon worked for y hours

∵ Caleb worked 2 more hours than Landon

→ That means Caleb hours = Landon hours + 2

∴ x = y + 2

→ Subtract y from both sides

x - y = 2 ⇒ (1)

∵ Caleb can iron 30 shirts per hour

∵ Landon can iron 15 shirts per hour

∵ They ironed 330 shirts between them

→ Multiply x by 30 and y by 15, then equate their sum by 330

30x + 15y = 330

→ Divide both sides by 15 to simplify the equation

2x + y = 22 ⇒ (2)

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked


Related Questions

171 is ​0.9% of?

Please help C:

Answers

Answer:30$

Step-by-step explanation:

You make it

Answer:

186.39

Step-by-step explanation:

171 is 0.9% of.

You need to multiply 171 * 1.09

171 * 1.09 = 186.39

171 is 0.9% of 186.39

Which function does lim(x->1) not exist?

Answers

Answer:

x2

Step-by-step explanation:

If the graph has a gap at the x value c, then the two-sided limit at that point will not exist.

If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist.

PLZZ HELP ASAP !!! HURRY !!!

Ruby is decorating for a party and needs 120 meters of ribbon. At the party supply store, the ribbon is sold in rolls. Each roll contains 25 feet of ribbon. How many rolls will Ruby need to purchase? (1 meter is approximately 39.37 inches)

A. 16 rolls

B. 14 rolls

C. 12 rolls

D. 10 rolls

Answers

Answer:

A. 16 rolls

Step-by-step explanation:

First, convert 120 meters to inches.

120 meters X 39.37 inches = 4724.4 inches

Then convert the 4724.4 inches into feet.

4724.4/12 = 393.7 feet

Therefore, she needs approximately 383.7 feet.

To get the number of rolls, divide 383.7 by 25 since each roll has 25 feet of ribbon.

383.7/25 = 15.748

15.748 can be rounded up to 16 rolls.

can someone help me with this question? please

Answers

9514 1404 393

Answer:

  208

Step-by-step explanation:

First of all, it is useful to draw the factory location and the path the truck takes.

If you're paying attention, you will notice that the distance from each marked location to the origin is 3 grid squares horizontally and 4 grid squares vertically. This makes the distance to the origin be the hypotenuse of a 3-4-5 triangle, or 5 grid squares.

Then the distance diagonally from the warehouse to the airport is 10 grid squares. The distance horizontally from the airport to the factory is 6 grid squares, for a total distance of 10+6 = 16 grid squares.

You will notice the grid squares are marked as 13 miles each. The miles driven by the truck are ...

  (13 miles)(16) = 208 miles

_____

As you can see, it is helpful to notice when problems make use of 3-4-5 triangles.

If you want to compute this more or less directly, you can recognize the horizontal distance from warehouse to airport is 78 miles, and the vertical distance is 104 miles. The Pythagorean theorem tells you the diagonal distance is ...

 WA = √(78² +104²) = √16900 = 130

The distance to the factory is 78 miles, so the total is ...

  130 +78 = 208 . . . miles the truck drives

help me please I don't get it​

Answers

Answer:

it's the last one

Step-by-step explanation:

to find the perimeter, you must add all the sides.

25 plus 25 is 50

multiple x by two for both sides and that will give you the perimeter of 70

What is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture?

Answers

what is the picture? I would love to help if I knew what the picture looked like.

Answer:6.7 centimeters>###

Step-by-step explanation:

Yooo who could do thisss ? ?

Answers

Answer:

hey sleepy! the answer is (8 , 0)

happy to help

What is another equivalent expression for -3(7 +5g)

Answers

Answer:

-21 - 15g

Step-by-step explanation:

You just have to distribute the -3 into the expression.  

-3(7 + 5g) = -21 -15g

Nathan will add -8 to -6 then divide the sum by -2 which quotient should he find?

Answers

Answer:

The quotient is -7. That is the answer.

The answer will be -7

you buy a car for 16000 but the total price is 16600 what is the tax percentage rate

Answers

Answer:

3.5

Step-by-step explanation:

Is this image of this graph a positive correlation, negative correlation, or not a correlation?

Answers

Answer:

Negative

Step-by-step explanation:

I dont really know how to explain it but it is a negative correlation.

9514 1404 393

Answer:

  positive correlation

Step-by-step explanation:

The general trend of the data is upward to the right, so the trend line has a positive slope. The sign of the correlation matches the sign of the slope of the trend line. The correlation is positive.

__

The data is well-scattered about that "trend line," so the correlation would be only slightly positive.

Simplify the expression : 22.22 divided by 1.1

Answers

Answer:

20.2

Step-by-step explanation:

simplify is equivalent to solve

22.22/1.1

20.2

Answer:

20.2

this is because i used a calculator.

A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best-fit line is Y=73.6 - 67.8x where x is the number of hours spent driving and y is the distance, in miles, from the retailer. Which of the following statements are true? Select all that apply. A. The distance from the retailer increases with time. B. The distance from the retailer decreases with time. C. The distributor is 67.8 miles away from the retailer. D. The distributor is 73.6 miles away from the retailer. E. The truck is traveling at a rate of 67,8 miles per hour. 1 1 1 ED 1 1 1 1​

Answers

Answer:

Options (B), (D), and (E) are correct.

Step-by-step explanation:

The given best fit curve for the collected data is

[tex]y=73.6 - 67.8x\cdots(i)[/tex]

Where x is the number of hours spent driving and y is the distance of distributer, in miles, from the retailer.

As the driver starts recording the time when he starts from the retailer, so at the starting time, x=0, the driver is at the retailer.

So, putting x=0 in the given equation (i) to get the distance between the distributor and retailer, we have

[tex]y =73.6 - 67.8\times 0[/tex]

[tex]\Rightarrow y= 73.6[/tex] miles.

So, the distributor is 73.6 miles away from the retailer.

From equation (i), as x (time) increases the value of y (distance) decreases.

So, The distance from the retailer decreases with time.

Now, obtaining the rate of change the distance,y, from quation  (i), with respect to time,x, to get the speed of the truck, we have

[tex]\frac {dy}{dx}=-67.8[/tex] mile/hour

Negative sign shows that the distance is decreasing, taking the magnitude of the rate of change of distance with respect to time to get the speed,

speed [tex]= | dy/dx |= | -67.8 | = 67.8[/tex] miles/hour

So, the speed of the truck is 67.8 miles per hour.

Hence, options (B), (D), and (E) are correct.

Using linear function concepts, it is found that the correct options are:

B. The distance from the retailer decreases with time.

D. The distributor is 73.6 miles away from the retailer.

E. The truck is traveling at a rate of 67,8 miles per hour

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change. b is the y-intercept, which is the initial value.

In this problem, the distance, in miles, after x hours driving is modeled by:

[tex]y = 73.6 - 67.8x[/tex]

The slope is [tex]m = -67.8[/tex], which means that the distance decreases with time, and the truck is traveling at a rate of 67.8 miles per hour, hence options B and E are correct.The y-intercept is of [tex]b = 73.6[/tex], which means that the initial distance is of 73.6 miles, hence option D is correct.

A similar problem is given at https://brainly.com/question/24808124

Find the missing side. Round to the nearest tenth.
A. 34.5
B. 8.7
C. 33.4
D. 11.6

Answers

It’s B. 8.7 trust me

Having hard time with slope !

Answers

For slope you would do rise over run

Answer:

slope(m)=3/2

Step-by-step explanation:

The original price of a television was decreased from $1,500 to $1,275. What was the percent decrease in the original price of the television?

Answers

Answer:

the answer is a 15% decrease from the original price

Step-by-step explanation:

it decreased by 225 and 225 is 15% of 1500

It was 15% off
15% of 1,500 is 225. 225 subtracted by 1,500 is 1,275 so 15% is the answer

In 64.71, in which place is the 4?​

Answers

Answer:

ones place

Step-by-step explanation:

The four is in the ones place.

Hope this helps! If it did, don't forget to rate my answer a five star, hit the thanks [heart] button, and mark as brainliest! If you need any more help, feel free to ask! Have a great rest of your day and stay safe! xx

What is one third of these?
1
3/4
2
1 1/2
2 1/4
1/2

Answers

Answer:

1/3

1/4

2/3

1/2

3/4

1/6

Step-by-step explanation:

Simply multiply each number by one-third.

1 * 1/3 = 1/3

3/4 * 1/3 = 3/12 = 1/4

2 * 1/3 = 2/3

1 1/2 = 3/2 * 1/3 - 3/6 = 1/2

2 1/4 = 9/4 * 1/3 = 9/12 = 3/4

1/2 * 1/3 = 1/6

Whats the answer to 7

Answers

Fndjhshahakdjejsjshwhsjsjsbhshwhwwh

Laquita divides 3 pizzas equally among her 5 children. How much pizza does each child receive?

Answers

Answer:

Step-by-step explanation:

3/5= 0.6 pizzas a kid

Answer: Each kid could get almost 2 pieces

Step-by-step explanation: Do 5 / 3

3x+5=2x+7. Find X to complete the equation

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

3x+5=2x+7   this is the original equation

since we have no clue as to what x could be, we just take a guess.

lets say we used 3.

we would plug in 3 where the x's are and get

3(3)+5=2(3)=7

three times three is 9, 9 plus 5 is 14.

2 times 3 is 6, 6 plus 7 is 13.

since these numbers do not match, 3 cannot be the answer.

if you did these same steps with the number two, you would get 11 as the answer for both, therefore, x=2

3(2)+5                    2(2)+7

6 +5=11                 4+7=11

Richard went kayaking last weekend. On Saturday, he kayaked for 2 hours and went 7 kilometers. On Sunday, he kayaked on a different river for 3 hours and went 12 kilometers. On which day did Richard kayak at a faster average speed?

Answers

Answer: Richard kayaked faster on Sunday

Explanation: In a situation like this, you would need to find the average speed, or the rate at which Richard was kayaking on both days. On Saturday, Richard kayaked 2 hours and went 7 kilometers, meaning you would divide 7 by 2 to get the average speed, or the rate at which Richard traveled while kayaking. On Sunday, Richard kayaked for 3 hours and traveled a total of 12 kilometers. If we did the same thing we did on Saturday, and divided 12 by 3, we would get the average speed. On Saturday, Richard kayaked at a rate of 3.5 kilometers per hour, and on Sunday, Richard kayaked at a rate of 4 kilometers per hour, meaning Richard kayaked faster on Sunday.

Richard was faster on Sunday than Saturday.

What is average speed?

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

The formula for average speed is found by calculating the ratio of the total distance traveled by the body to the time taken to cover that distance.

Average Speed = Total Distance traveled/Total Time taken

The average speed equation is articulated as:

Given,

Richard on Saturday,

kayaked distance = 7kms.

Time taken = 2 hours

Speed = Distance/ Time

Speed on Saturday = 7/2

Speed on Saturday = 3.5 km/hr.

Richard on Sunday,

kayaked distance = 12kms.

Time taken = 3 hours

Speed = Distance/ Time

Speed on Sunday = 12/3

Speed on Sunday = 4 km/hr.

Hence, by the above calculation Richard was 0.5 km/hr. faster on Sunday than Saturday.

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ2

Find the diffference


-2 - (-5)

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer: -3

Step-by-step explanation: because taking a negative number away from something is the same as adding a positive and adding a positive number to a negative number makes it smaller

DONT TYPE NO RANDOM ANSWER I WILL REPORT THX :)
The Han era was a time of peace where literature and the arts blossomed
True of False ​

Answers

Answer:

True.

Step-by-step explanation:

The Han era was when paper and porcelain was invented. It was a time of peace when China could build up.

Hope this helps plz mark brainliest :D

Anybody wanna help me plz

Answers

Answer:

[tex]m^{3}[/tex]

Step-by-step explanation:

Step 1:

[tex]3.7m^{5}[/tex] ÷ [tex]3.7m^{2}[/tex]           Equation

Step 2:

[tex]3.7m^{5-2}[/tex]            Subtract and Divide

Answer:

[tex]m^{3}[/tex]

Hope This Helps :)

Clare claims that (10+3)(10-3) is equivalent to 10 32 and and (20+1)(20-1) is equivalent to 202-12 Do you agree? Show your reasoning.​

Answers

Answer:

no because paranthesis should always be done first

Step-by-step explanation:

it should be (13)(7)(21)(19)

not equivalent (do not) because (10+3)(10-3)= 13•7=91
and
(20+1)(20-1)= 21•19= 399

Can someone please help me???
What is the solution to −2x+8≥4?

x≤2x is less than or equal to 2

x≥2x is greater than or equal to 2

x≤−6x is less than or equal to negative 6

x≥−6

Answers

Answer:

72

Step-by-step explanation: Can someone please help me???

What is the solution to −2x+8≥4?

x≤2x is less than or equal to 2

x≥2x is greater than or equal to 2

x≤−6x is less than or equal to negative 6

x≥−6

5. Evaluate 5a + 6c

When a = -5 and c = 4 =​

Answers

Answer:

-1

Step-by-step explanation:

5(-5) + 6(4)

-25 + 24 = 1

The city buses stop every 12 minutes. The first bus arrives at 5:00 A.M. You arrive at 8:37 A.M. How long will you have to wait for the next bus to arrive?

Answers

Answer:

You will wait for 11 minutes

Step-by-step explanation:

Find the number of minutes between 5:00am and 8:37am

60 mins in an hour.

8-5=3 hours

60x3=180+37=217 minutes

Divide 217 by 12 to see how many bus stops have already been made

217/12=18

18*12=216

217-216=1 minute

12-1=11 minutes

Therefore you will have to wait 11 minutes.

Hope this helps!

Answer:

11 minutes

Step-by-step explanation:

you will have to wait 11 minutes. the last bus arrived at 8:36 am

pls complete it (picture )​

Answers

Answer:

32cm²

Step-by-step explanation:

4 cm * 8 cm = 32 cm²

Answer:
32cm
Explanation:
Formula for rectangle is Length x width
4x8=32cm
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