answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jolli1 [7]
2 years ago
13

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. A total of 26 boxes of paper were shipped with a combined volume of 254 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Mathematics
2 answers:
jok3333 [9.3K]2 years ago
8 0

Answer:14 small boxes and 12 large boxes were shipped.

Step-by-step explanation:

Let x represent the number of small boxes of paper that were shipped.

Let y represent the number of large boxes of paper that were shipped.

A total of 26 boxes of paper were shipped. This means that

x + y = 26

The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The total number of boxes shipped have a combined volume of 254 cubic feet. This means that

7x + 13y = 254 - - - - - - - - - - - - 1

Substituting x = 26 - y into equation 1, it becomes

7(26 - y) + 13y = 254

182 - 7y + 13y = 254

- 7y + 13y = 254 - 182

6y = 72

y = 72/6 = 12

x = 26 - y = 26 - 12

x = 14

Gala2k [10]2 years ago
5 0

Step-by-step explanation:

Let's say S is the number of small boxes and L is the number of large boxes.

S + L = 26

7S + 13L = 254

Solve the system of equations using substitution.

7S + 13(26 − S) = 254

7S + 338 − 13S = 254

84 − 6S = 0

S = 14

L = 26 − S

L = 12

The company shipped 14 small boxes and 12 large boxes.

You might be interested in
Jillian needs to cross a stream that is 4 1⁄4 yards wide. She wants to use a nearby log which is 11 feet long. Is the log long e
Aloiza [94]
12 1/4 feet wide stream so it is 1 feet and 9 inches shorter
4 0
2 years ago
A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car
trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

5\times 4\times 3\\\\=60

Hence, there are 60 ways that they can travel to the concert.

7 0
2 years ago
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill
Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0
1 year ago
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
RoseWind [281]
Well, there are x amounts of white flower and 6 cups of wheat flower.

So the total flower is x+6

Given that y is the total, the equation you would use is:
y=x+6

The constraints are as follows:
y can only be \geq 6

And if y=0, x would have to be -6 (which is impossible) 
3 0
1 year ago
Read 2 more answers
The first few steps in deriving the quadratic formula are shown.
Rus_ich [418]

Answer:

• The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Step-by-step explanation:

We have to multiply the term  b2/4a2 by a in order to determine the value to add to the left side of the equation so as to balance both sides of the equation.

If we multiply the terms, we get;

\frac{b^{2} }{4a^{2} }*a=\frac{b^{2} }{4a}

Therefore, we shall be adding the term \frac{b^{2} }{4a} to the left side of the equation.

5 0
2 years ago
Read 2 more answers
Other questions:
  • A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele
    5·1 answer
  • Every 2 weeks , each mayhem motorsports employee is expected to sell 8 vehicles . If a mayhem motorspot employee works for 12 we
    12·1 answer
  • What is the value of 6i/1+i? 2 – 6i 2 + 6i 3 – 3i 3 + 3i
    7·2 answers
  • Least to greatest -4.3, -82.5, -41 4/5, -13 1/8
    15·1 answer
  • A random sample of 50 people from a town with a population of 14,878 were asked to name their favorite flavor of ice cream. If 7
    13·1 answer
  • Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. A tube of paint covers 300 square inches. W
    5·1 answer
  • If GE is the angle bisector of &lt; HGF find m. <br> A. 6 <br> B. 8 <br> C. 9 <br> D. 31
    15·1 answer
  • Which expression represents the intersection of A and B?
    11·1 answer
  • Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i
    12·1 answer
  • Multiple 7/9 to the sum of 8 3/7 and 5 11/14
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!