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
gulaghasi [49]
3 years ago
6

All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxe

s arrived and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived? (1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

Step-by-step explanation:

Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.

This implies that boxes are in multiples of 12

i.e. 12, or 24, or 36 or....

Let us say this as 12m for m an integer

Now additional boxes arrived =60

Total number of boxes now = 12m+60

This when arranged in stacks of 14,nothing left out

Or this is multiple of 14

12m+60 = 14n for some positive integer n.

By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.

So we say originally 24 boxes were there now 84 boxes there.

Hence both options are right.

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

You might be interested in
Which ordered pairs are solutions to the inequality 2x-y>1?
RideAnS [48]

Answer:

Any points in the shaded region including (2,-2) and (-3,-8)

Step-by-step explanation:

Convert the line into slope intercept form and graph it.

2x-y > 1 becomes -y>1-2x. Divide both sides by -1 and you get y<2x-1. Graph it with the shaded area on the right and a dashed line.

Any point which falls within the shaded red of the graph is a solution. No points on the line since it is not equal to (its dashed) are solutions. Check the location of your points to verify that they fall within this area.

(-3, -8)  ---Yes

(-1, -3)  ---No

(0, 5)  --- No

(1, 6)  --- No

(2, -2) ---Yes

8 0
3 years ago
a box contains 20 red, 10 blue and 30 yellow beads. what is the probability of a bead drawn at random being yellow or blue?​
dexar [7]

Answer:

2/3

Step-by-step explanation:

1. add all the beads up together:

    20+10+30= 60

2. add the blue and yellow beads up:

    10+30= 40

3. put 40 over 60

    40/60 which equals 2/3

4. the final answer:

    2/3

5 0
3 years ago
Can 7in and 1lb be in the same unit
monitta

Answer:

Yes

Here you gooooooo

7 0
3 years ago
Read 2 more answers
Here are three similar cuboids, A, B and C.
gregori [183]
The answer is bc cause you multiply 12 x 2= 24
3 0
3 years ago
a track tire has a diameter of 20 in if the tire is rotated eight times how far will the track have traveled ​
Brut [27]

Answer:

160

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Last year, William earned $16.80 per hour working at his job. This year he received a 5% raise. Every day, he swipes his metro c
    14·2 answers
  • Increase 28 by 7 percent
    15·1 answer
  • Pls help ASAP!!!
    11·1 answer
  • Evaluate the expression XY FOR X=8 and Y=4
    7·1 answer
  • Determine whether the inequality is always, sometimes, or never true.
    6·2 answers
  • What is the distance between (8, -3), (4,-7)?
    9·1 answer
  • Help I cant fail this test
    10·1 answer
  • The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of
    7·1 answer
  • Express (25 1/2) ^3 in simplest radical form
    9·1 answer
  • Use the distributive property to write the products in standard form (48+24)÷6 .
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!