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
olya-2409 [2.1K]
3 years ago
5

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t

otal weight of 187 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 87 kilograms. How much does each type of box weigh? pls help!!!
Mathematics
1 answer:
Olin [163]3 years ago
5 0

Answer:

  • large: 18.5 kg
  • small: 15.75 kg

Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

  5b +6s = 187

  3b +2s = 87

We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

  3(3b +2s) -(5b +6s) = 3(87) -(187)

  4b = 74 . . . . . collect terms

  b = 18.5 . . . . . divide by 4

Using this value in the second equation, we find ...

  3(18.5) +2s = 87

  2s = 31.5 . . . . . . . . subtract 55.5

  s = 15.75 . . . . . . . . divide by 2

The large box weighs 18.5 kg; the small box weighs 15.75 kg.

You might be interested in
What is the probability that a 60% free throw shooter will make three free throws in a row?
sdas [7]

.6 * .6 * .6

.6^3

.216

Answer

.216

or

21.6%

7 0
3 years ago
Read 2 more answers
Is 12/42=10/35 a true proportion
olya-2409 [2.1K]
Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer:  2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer:  2/7
3 0
3 years ago
Which function will have a change in direction?
Ivahew [28]

Answer:

Quadratic

Step-by-step explanation:

A linear equation is just a line and an exponential function goes in the same direction

A quadratic us a parabola which has a turning point

3 0
3 years ago
How many ounces are in a pound?
Naddika [18.5K]
16 ounces is the correct [email protected]
4 0
3 years ago
Find MO if MN = 9x and NO = 2(x+7)
Greeley [361]

Answer:

11x + 14

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is - 3/5 times 8/6 in fraction form
    9·1 answer
  • I don't understand how to find missing endpoint pls help
    11·1 answer
  • If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
    15·1 answer
  • 2(x-3)+5=3(x-1) how to solve?<br>​
    7·1 answer
  • Find the nth term of this sequence<br><br> -4 -3 -2 -1 0 ...
    14·1 answer
  • I need help with this question, please
    7·2 answers
  • Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10
    11·1 answer
  • Rewrite the equation in y=mx+b form 6y=-24+18p
    10·1 answer
  • Raul's hunting club membership costs $130 plus $45 per month. Which equation represents the cost of membership for x months?
    7·1 answer
  • The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!