A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books. A total of 10 boxes were sent which can hold 375 books altogether. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Answers

Answer 1

Answer: Number of small boxes = 7, Number of large boxes =3

Step-by-step explanation:

Let x= Number of small boxes , y = Number of large boxes.

As per given , 30x+55y=375  (i)

x+y=10   (ii)

Multiply (ii) by 30, we get

30x+30y=300    (iii)

Eliminate (iii) from (i), we get

25y=75

⇒ y= 3   [Divide both sides by 25]

Put y=3 in (ii), we get

x+3=10 ⇒ x=7

Hence,  Number of small boxes = 7, Number of large boxes =3


Related Questions

The polynomial below is a perfect square trinomial of the form A^2 - 2AB+ B^2
16X^2- 36x9

True or False?

Answers

true

A² - 2AB + B² 16x²-36x8

thanks

A shirt you like has a list price of $40.00. Today only, it is on sale at 35% off.
What is the sale price?

Answers

sale price of the shirt is $26
the sale price of the shirt is $26.00

Jocelyn is going to invest in an account paying an interest rate of 2.3% compounded
continuously. How much would Jocelyn need to invest, to the nearest hundred
dollars, for the value of the account to reach $550 in 15 years?

Answers

9514 1404 393

Answer:

  $400

Step-by-step explanation:

The formula for the value of an account with interest rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P when A = 550, r = .023, and t = 15.

  550 = Pe^(0.023·15) ≈ 1.41199P

  P = 550/1.41199 = 389.52 ≈ 400

Jocelyn would need to invest about $400 to reach $550 in 15 years.

I need an answer! Madison Middle School sells rolls of wrapping paper to raise money for student activities. The school gets half of all sales, minus $300 for prizes to top sellers. What is the total sales if the school earns $5000?

Answers

Answer:

$10,600 worth of wrapping paper

Step-by-step explanation:

Let the total sales for wrapping paper be represented by variable x

Amount the school keeps is half of total sales x, minus $300. Written as an equation, that would be ; 0.5x - 300

If the schools wants to earn $5000, this amount would be equal to the above equation of what it keeps;

0.5x - 300 = 5000

add 300 to both sides;

0.5x = 5000+300

0.5x = 5300

divide both sides by 0.5 and solve for x;

x=5300 / 0.5

x= 10,600

Therefore, they need to sell $10,600 worth of wrapping paper.

hope dat good?

10300 dollars is the sales of the rolls or wrapping paper

When Marcus weighs himself at home, he weighs 179 lbs. When he weighs himself on a metric scale, he weighs 81.4 kg. Assuming that each scale is accurate, 1 kg = ______ lbs ?​

Answers

Answer:

2.199 lbs

Step-by-step explanation:

We can divide 179 by 81.4 to get how many pounds there are per kilogram. When we do this, we get 2.19 pounds per kilogram. We know this because we divided both sides by 81.4 as shown here:

81.4kg = 179lbs

    /             /

81.4           81.4

1kg = 2.199 lbs

Answer

Step-by-step explanation:

solve the problem cos15

Answers

Answer:

-.759

Step-by-step explanation:

ASAP ASAP ASAP
please help me

Answers

Answer:

35

5x7=35

Can I be brainliest plzzz

Answer:

5*7=35 so the area is 35 sq in.

Step-by-step explanation:

During a​ sale, a dress is marked down from a selling price of ​$80 to a sale price of ​$64. What is the percent​ markdown?

Answers

Answer: 25% markdown

According to the graphs below, which statement is true?

Answers

Answer:

I would say, both graphs show the information accurately.

Step-by-step explanation:

They are equal, and both are the same, just represented differently.

Answer:

The graph on the right is misleading

Step-by-step explanation:

The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. cylinder 50 liters contains oxygen at a temperature of 200 K and a pressure of 6 atmospheres , what would the gas pressure be if the volume was changed to 25 liters and the temperature raised to 250 K?

Answers

Answer:

15 atm

Step-by-step explanation:

V varies directly with T and inversely with P.

V = kT/P

When T = 200 and P = 6, V = 50.

50 = k (200) / (6)

k = 1.5

When V = 25 and T = 250:

25 = 1.5 (250) / P

P = 15

Given that we know the relation between volume, pressure and temperature (given for the ideal gas), we want to find the change in pressure associated to the given change in volume and temperature.

We will see that the pressure after the change is 15 atm.

Let's see how to solve this problem:

So we start by knowing that the volume depends directly on the temperature and inversely on the pressure, then the relation is something like:

V = k*(T/P)

Where k is a constant.

We know that a cylinder of 50lt is at a temperature of 200K and with a pressure of 6 atm, replacing that in the above equation we get:

50lt = k*(200K/6atm)

With this we can find the value of k:

50lt*(6atm/200K) = k = 1.5 lt*atm/K

Then the equation is just:

V = (1.5 lt*atm/K)*(T/P)

Now the problem says that the volume is 25lt and the temperature is 250K, replacing that in the equation we get:

25lt =  (1.5 lt*atm/K)*(250K/P)

Solving for P we have:

P = (1.5 lt*atm/K)*(250K/25lt) = 15atm

Concluding, the pressure is after the change is 15 atm

If you want to learn more about ideal gases, you can read:

https://brainly.com/question/25290815

six tubs of frosting for $5​

Answers

the answer is 30 because 6 times 5 equals 30 .

Answerjej:

Step-by-step explanation:

who here is doing vlacs?

Answers

Answer:

Not me

Step-by-step explanation:

I am and I REALLY like it

Oh my god wait

I know you...

You are the one who writes like this "What was the economic effect of the Roman conquest. …"

como se escribe 5.252525... como un numero mixto ​

Answers

Answer:

no te entiendo????

Step-by-step explanation:

$25,405.56-$7,983.12

Answers

Answer:

the answer is 17 422.44 US$

Step-by-step explanation:

Answer:

17,467.44

Step-by-step explanation:

Halloween or Christmas :))

Answers

Answer:

Christmas! I get to go to Maine and Indiana and have four christmas's. Also, I get do a lot of fun stuff.

i hope whoever sees this has a good day

Answers

Answer:

I hope you have a great day and also to whoever sees this.

Others pls don't get mad that you didn't get to answer

Step-by-step explanation:

helpp ill mark u as brain list​

Answers

Answer:

the answer is D

hopefully, itś right

if JK+LM=NP+LM then JK=NP what property is this

Answers

Answer:

Subtraction property

Step-by-step explanation:

Given JK+LM=NP+LM

To show that JK = NP, we will subtract LM from both sides

JK+LM-LM=NP+LM -LM

JK = NP

Since we subtracted LM from both sides without affecting the nature of the equality sign, then the property used is the subtraction property

please helpppppppppp me

Answers

Answer:

y = 15x

Step-by-step explanation:

It’s the last one. y=15x

PLEASE HELP ILL MARK YOU WHAT U WANT!

Given; a (x) = x^3 – 4x – 3 when x> -3 and a (x) =l –2x - 5|when <-8
Evaluate a (0)

Answers

Answer: ^3(2+)^4)

Step-by-step explanation: (5^=+6)+9(=)7+3^

i want a brainliest

Answer:

2

Step-by-step explanation:

a(x) = x^3 – 4x – 3

a(0) = 0 - 0 -3

a(0) = -3

a(x) = l –2x - 5|

a(0) = | 0 - 5 |

a(0) = 5

therefore a(0) = -3 + 5 = 2

Find the value of x and y

Answers

angle x is supplemental to the 117 degrees so u do 180-117=x so x=63. and since x is complementary to y u do 90-63=y so y=27

WY bisects ZVWX. If mZVWX = 161°, what is the mZYWX?

Answers

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

   

What's the solution: 15 (2x + 2) = 10 (3x + 4)

Answers

Answer:

No Solution

Step-by-step explanation:

15 (2x + 2) = 10 (3x + 4)

30x + 30 = 30x + 40

30x + 30 - 30 = 30x + 40 - 30

30x = 30x + 10

30x - 30x 30x + 10 - 30x

0 = 10

No Solution

Answer:

No Solutions

Step-by-step explanation:

15(2x+2)=10(3x+4)

30x+30=30x+40

-30 from 30 and 40

30x=30x-10

No Soultions

15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?

Answers

Answer:

$120000

Step-by-step explanation:

"15. Jorge is getting a loan from the bank for a new car. The loan amount is $25,000. The bank will compound the interest annually for 6 years at 4%. What will be the total amount of the loan at the end of the 4 years?"

the expression for compound interest is given as

A=P(1+r)^t

given data

Principal P=$25000

rate r=4%= 0.04

time t= 4years

Substituting into the expression we have

A=P(1+r)^t

A=25000(1+0.04)^4

A=25000(1.04)^4

A=25000x4.80

A=$120000

The total amount of loan after 4 years is $120000

Complete the statement about figures on the graph.
Parts A and
create a figure on the coordinate
plane that has point symmetry about the origin.

Answers

Answer: Send me the graph and i will help you

Step-by-step explanation:

Hurry plz! I’m stuck on this question for the test!!

The greatest common factor of two numbers is 4. The sum of the numbers
is 76. What are the two numbers?

A) 38 and 38
B) 12 and 64
C) 18 and 58
D) 32 and 40

Answers

Answer:

B)

Step-by-step explanation:

For A) 38+38 = 76 but their greatest common factor is 38.

For B) The GCF is 4

For C) Both 18 and 58 are not divisible by 4

For D) 32 and 40 are both divisible by 8

The answer is B)

Next time, you should try solving the answer on your own especially on a test!!!

Hope this Helps!!! :)

Answer:

its B

Step-by-step explanation:

Because I Said So.

point a and b are plotted on the coordinate grid below​

Answers

The answer is (2, 2)

The length of a garden is 10 feet longer than three times the width. The perimeter of the garden is 240 feet. Find the length and the width of the garden.

Answers

Answer: width = 27.5 feet and length = 92.5 feet

Step-by-step explanation:

Let width = x, then length = 3x+10

Perimeter of rectangle = 2 (length +width)

Given:  Perimeter of the garden = 240 feet.

Then, [tex]2 (x+3x+10)=240[/tex]

[tex]\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5[/tex]

i.e. width = 27.5 feet

Then, length = 3(27.5)+10= 82.5+10=92.5 feet

Hence, width = 27.5 feet and length = 92.5 feet

Mayzie and Madison are playing games at Dave and Buster’s. Mayzie started with $15 and the video game she is playing costs $.75 per game. Madison started with $13 and her video game costs $.50 per game. After how many games will the two girls have the same amount of money remaining?

Answers

Answer:

Mayzle at 8th game and madison at the 12th game

The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variable n represents the number of items sold, and the variable d represents the total amount of money earned.

What is the number of items Kathryn must sell in order to earn $500?


(A)10

(B)17

(C)21

(D)23

Answers

The answer will be D I think?
C. X=21
Plug in 500 as d and solve












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