1answer.
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
Helga [31]
4 years ago
13

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

otal weight of 102 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 153 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
nikdorinn [45]4 years ago
4 0

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102      Eqn 1

3x+8y=153      Eqn 2

Multiyplying Eqn 1 by 4

4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255

Dividing both sides by 17

\frac{17x}{17}=\frac{255}{17}\\x=15

Putting x=15 in Eqn 2

15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108

Dividing both sides by 8

\frac{8y}{8}=\frac{108}{8}\\y=13.5

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

You might be interested in
Linda had 8 stamps in her collection. She lost 2 stamps. What fraction of the
Alenkinab [10]

Answer:

2/8

Step-by-step explanation:

all the stamps would be 8/8 but she lost 2 therefore giving her 2/8

6 0
3 years ago
Read 2 more answers
Hello i need some help
Natalija [7]

Answer:

y = 2x - 1

Step-by-step explanation:

(3, 5) (5, 9)

slope = (9-5)/(5-3) = 4/2 = 2

y = mx + b

5 = 2(3) + b

-1 = b

y = 2x -1

6 0
3 years ago
Read 2 more answers
What is the sum of 3+(−4) = -1
Dmitry [639]
3+-4=-1
3-4=-1
-1=-1

so the answer is:
-1 = -1
8 0
3 years ago
Read 2 more answers
How does it factor out as that?
eimsori [14]
To factor out you have to think what multiples to AC and adds to B.

Ax^2+Bx+C

So... for this problem AxC=1x-24 or -24

B is -2.

So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.

Out of these, which adds to -2: -6+4=-2.

So the factors are (d-6)(d+4)

OR the longer way, which you really only use if A is not equal to 1.

Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24

Group the terms by using addition: (d^2+4d)+(6d-24)

Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.

For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)

If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.

The two terms outside the parenthesis: d, -6 group together and become (d-6)

The inside terms stay the same: (d+4)

(d-6)(d+4)

Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.




6 0
3 years ago
What can you assume about the number of adenine
PIT_PIT [208]
The numbers are 5,2,65
5 0
3 years ago
Other questions:
  • What is the volume of the square pyramid? Round to the nearest tenth.
    6·1 answer
  • How to find the volume of a prism
    5·2 answers
  • Martin purchased 2 dozen roses on sale at the local florist shop. If each rose cost $2.50, how much did Martin spend? martin spe
    7·2 answers
  • A household refrigerator with a coefficient of performance of 2.4 removes energy from the refrigerated space at a rate of 600 Bt
    7·1 answer
  • g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose
    6·1 answer
  • Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for
    5·1 answer
  • Sean has a bag containing x green marbles and two bags containing y blue marbles. He adds 15 marbles to the bag of green marbles
    10·1 answer
  • The reciprocal of the cosine is the ___.
    6·2 answers
  • Resultado de negativo tres a la dos
    8·1 answer
  • Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?Adjacent anglesComplementary a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!