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
sergeinik [125]
2 years ago
9

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes

weigh 30 pounds each. There
are 125 boxes in all. If the truck is carrying a total of 5050 pounds in boxes, how many of each type of box is it carrying?
Mathematics
1 answer:
Arturiano [62]2 years ago
4 0

Answer: 50 large box

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

"There are 115 boxes in all" means x + y = 115 [eq1]

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

So,

pounds for large boxes + pounds for small boxes = 4125 pounds

"the truck is carrying a total of 4125 pounds in boxes"

(50)*(x) + (25)*(y) = 4125 [eq2]

It is important to find two equations so we can solve for two variables.

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:

x = 115 - y [from eq1]

50(115-y) + 25y = 4125 [from eq2]

5750 - 50y + 25y = 4125 [distribute]

5750 - 25y = 4125

-25y = -1625

y = 65 [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 115 - y

x = 115 - 65

x = 50

There are 50 large boxes.

Check (very important):

Is 50+65 = 115 ? [eq1]

115 = 115 ?yes

Is 50(50) + 25(65) = 4125 ?

2500 + 1625 = 4125 ?

4125 = 4125 ? yes

You might be interested in
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPT
sammy [17]

Answer:

option b

Step-by-step explanation:

replace x and y with the x and y of the ordered pair

option a: 2(4)+4(5)=6(4)-5

solve

8+20=24-5

28=19  not true

option b:2(5)+4(4)=6(5)-4

solve

10+16=30-4

26=26  true

6 0
3 years ago
Pls help me im stuck again.
Alona [7]

Answer:

bottom left i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve this query plzzz​
Olin [163]

Step-by-step explanation:

\frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   = \tan \:A \\  \\ LHS =  \frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   \\  \\  =  \frac{2\sin \:2A.\cos \:2A}{\cos \:2A}   \times  \frac{1 - (2 { \cos}^{2}A - 1) }{1 - (2 { \cos}^{2}2A - 1) } \\  \\  = 2\sin \:2A   \times  \frac{1 - 2 { \cos}^{2}A  +  1}{1 - 2 { \cos}^{2}2A  + 1 } \\  \\  = 2\sin \:2A   \times  \frac{2- 2 { \cos}^{2}A  }{2 - 2 { \cos}^{2}2A   } \\  \\   = 2\sin \:2A   \times  \frac{2(1 - { \cos}^{2}A)  }{2 (1-  { \cos}^{2}2A)   } \\  \\   = 2\sin \:2A   \times  \frac{1 - { \cos}^{2}A}{1-  { \cos}^{2}2A   } \\  \\     = 2\sin \:2A   \times  \frac{ { \sin}^{2}A}{{ \sin}^{2}2A   } \\  \\    = 2  \times  \frac{ { \sin}^{2}A}{{ \sin}2A   } \\  \\   = 2  \times  \frac{ { \sin}^{2}A}{{ 2\sin}A. \cos \:   A } \\  \\   = \frac{ { \sin}A}{ \cos \:   A }  \\  \\  = tan \: A \\  \\  = RHS \\

7 0
3 years ago
If f(x) = 6x-4 what is the value of f(8)
Vinvika [58]

Answer:

f(8) = 44

Step-by-step explanation:

f(x) = 6x-4

Let x = 8

f(8) = 6(8) - 4

Multiply

     = 48 -4

    = 44

8 0
2 years ago
Read 2 more answers
Can somebody help me out please?
kondor19780726 [428]

Answer:

all work is shown and pictured

7 0
3 years ago
Other questions:
  • Can anyone help me with this question pleaseee
    12·1 answer
  • 45) lí the midpoint of AB is (4,3) and point A has coordinates (-2,6),
    10·1 answer
  • The equation of the line through point (-5,0) and parallel to the y-axis is
    11·1 answer
  • Find the value of x in each case:
    13·2 answers
  • Two boxers bump heads in a boxing match. The referee will check for a concussion on one of the boxers. Consider a null hypothesi
    6·1 answer
  • Mia combines the items in the table to make potting
    6·2 answers
  • Write each percent as a fraction in simplest form. 16%
    13·2 answers
  • I need a answer I’m stuck on this
    13·1 answer
  • Which decimal is less 8.0
    9·2 answers
  • Find the measure of x.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!