A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds.

Answers

Answer 1

Answer:

There were 15 small boxes shipped and 5 large boxes shipped.

Step-by-step explanation:

Let s = the number of small boxes shipped

Let l = the number of large boxes shipped

Each small box weigh 35 pounds, so (s) small boxes weigh 35s pounds. Each large box weigh 65 pounds, so (l) large boxes weigh 65l pounds. Therefore, the total weight 35s + 65l equals 850:

                                                 35s + 65l = 850

Since there were 3 times as many small boxes shipped as large boxes, there were MORE small boxes, so if we multiply 3 by the number of large boxes, we will get the number of small boxes, meaning s equals 3l

                                                  s = 3l

Write System of Equations:

                                                 35s + 65l = 850

                                                     s = 3l

Substitute value of s into the first equation:

35(3l) + 65l = 850

105l + 65l = 850

170l    850

__   =   __  

170      170

  l = 5

Since l = 5, we know 5 large boxes were shipped.

Use l = 5 to solve for s:

s = 3l

s = 3(5)

s = 15

Since s = 15, we know 15 small boxes were shipped.


Related Questions

equation represents a line which is parallel to the line 3y-x=-15?

Answers

Answer:

Any equation that has the same slope

Step-by-step explanation:

If two li es have the same slope that means they will never intercept

What is the solution to 0.2 (4x - 8) = 0.4(12-2x)

Answers

Answer:

x = 4

Step-by-step explanation:

Let's multiply both sides by 5 to get rid of the leading fractions.

5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)

(4x-8) = 2 (12-2x)

4x - 8 = 24 - 4x

8x = 32

x = 4

x = 4

PLEASE HELP!! MATH FINAL, NO EXPLANATION NEEDED :))

Answers

Answer:

B.

Step-by-step explanation:

When you move right or left it's inside the parentheses and the opposite so right is - and left is + when you move up or down its the same so up is + and down is -.

Answer:

B

Step-by-step explanation:

It's asking for moving right 3 and down 2. To move right three, you have to subtract 3 (It's switched up). This goes inside the parenthesis, because if it was outside of the parenthesis, it would be going up or down. Now, to go down 2, you have to subtract 2 outside of the parenthesis (It's normal). That leaves you with f(x-3)-2. Therefore, the answer is B.

Given 5x - y = 16, solve for y

Answers

i don’t know if this is helpful but i tried , sorry

y = 5x -16 will be the Solution for y in terms of x for the given equation.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given a linear function 5x - y = 16

Solution for y in terms of x will be

5x - y = 16

=> 5x = 16 +y

=> y = 5x -16

Therefore, the Solution for y in terms of x for the given equation will be:

y = 5x -16.

Learn more about Linear Functions here:

https://brainly.com/question/20286983

#SPJ2

10c - 6(2c - 1) = -2 (c- 3). Solve for c

Answers

What do you by the end ?

If SV is a perpendicular bisector of RT, which statement is true?

Answers

The correct answer is A. :)).

Answer:

The correct answer is A

Step-by-step explanation:

HELP ILL AWARD BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 hour you will make $10

2 hours you will make $20

10 hours you will make $100

The constant of proportionality is 10

and its x=10y

I don't understand what they mean when its says "x hours"

what is the equation of the horizontal line through (-7,-3)?

Answers

Answer:

9

Step-by-step explanation:

people wont solve my question i need it ASAP

Answers

Answer:

A pig has 10,000 kg mass more than a mass

Step-by-step explanation:

[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information

Answers

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

3.What is the area of a Square with sides measuring 9 inches?

Answers

Answer:

81

Step-by-step explanation:

length times width = area

Answer:

81 inches.

Because 9

Step-by-step explanation:

Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The total amount she can expect to be paidin dollars, can be estimated using the function f(x) = 2.5x + 150 , where is the number of words published . What is the inverse of this function?

Answers

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

[tex]x=\frac{y-150}{2.5}[/tex]

[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]

[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]

Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]

A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.

Answers

3, 3x3=9, 3x4=12, 3x5=15, 3x6=18

Answer: 3 for edgenuit y

Step-by-step explanation:

The number of concurrent users of a social networking site has increased dramatically since . By ​, this social networking site could connect concurrently 70 million users online. The function ​P(t)​(​)​, where t is the number of years after ​, models this increase in millions of users. Estimate the number of users of this site that could be online concurrently in ​, in ​, and in . Round to the nearest million users.

Answers

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

Which one?
A or B. ​

Answers

Answer:

A) 600

Step-by-step explanation:

Sooo 3 x -5 = -15

then -4 x 10 = -40

Next -40 x -15 = 600

Since it's a negative times a negative the outcome is gonna be positive. Also I just broke down the problem into two parts and then multiplied the two answers together since it was called for.

A. The answer is a because after you find the product of both answers, they’re both negatives, a negative x a negative = a positive. So the final answer would be positive 600. hope this helps!!

SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)

Answers

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Answers

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

four more than the product of 22 and a number

Answers

Answer:

22(x)+4

Step-by-step explanation:

This shows that whatever 22*x is it will be 4 greater

what's the diagonal if a square of area 32 cm2?​

Answers

Answer:

it is d=8cm

I hope this helps!!!

Answer for brainliest.

Answers

Answer:

t > 28

Step-by-step explanation:

Given

[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t>28[/tex]

Step-by-step explanation:

[tex]\frac{t}{4} >7\\[/tex]

Times both sides by 4

[tex]t>28[/tex]

Hope this helps and pls do mark me brainliest:)

Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

The slope is 100

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Step-by-step explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

Have a good day :)

imagine having friends :(

Answers

Answer:

I couldn't

The ones I used to be friends with now all hate me lol ;-;

Step-by-step explanation:

Four people share 2/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Answer in simplest form.

Answers

Answer: 1/10

Step-by-step explanation:

2/5 x 1/4= 1/10

keep, change, flip

What is the correct equation to find the value of X?

Answers

Answer:

x = 12

Step-by-step explanation:

The 2 angles shown are corresponding angles and congruent, thus

8x - 17 = 5x + 19 ( subtract 5x from both sides )

3x - 17 = 19 ( add 17 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

If there are 300 boys
enrolled in the school,
how many girls are
enrolled in the school?
(Ratio 5 girls for every 6 boys.)

Answers

300 / 6 = 50
50 x 5 = 250 girls

i need help on this problem im stuck on it​

Answers

Answer:2.8

or

2.83333

Step-by-step explanation:

Given : A table is given to us . The table is ,

[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]

To Find : The total hours spend by Marisol on reading .

Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .

So , total time of reading will be ;

= (23 + 38 + 42 + 17 + 29 + 10 + 11) min

= 170 min .

= 120min + 50min .

= 2 hours 50mim .

[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]

x-(x(x-y to the power of 3)) ; use x=9 and y=1

Answers

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

Name the constant of variation for the equation: y=-2/3x

Answers

The constant of variation is the slope, which is the number before the x variable.

The answer is -2/3

7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?

Answers

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

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