![jaceechesick](/avatars/38552.jpg)
jaceechesick
29.08.2019 •
Mathematics
Acarton measures 3 feet by 2 feet by 2 feet. a machine can fill the carton with packing material in 3 seconds. how long would it take to fill a carton that measures 4 feet by 5 feet by 6 feet?
Solved
Show answers
More tips
- P Philosophy Is Everything We Strive for Eventually Achieved and Destroyed?...
- S Society and Politics Understanding Politics and Its Role in the Development of Civilization...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Society and Politics Skoptsy: Who They Are and How They Perform Castration?...
- O Other Childhood Fears: What Many of Us Experienced...
- P Philosophy What is Something for you?...
- H Health and Medicine Why Do Humans Have One Heart?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- O Other How to Accidentally Get a Rare Coin with Your Change and How to Know Its Value?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
Answers on questions: Mathematics
- M Mathematics The options in the dropdown box for a) are: about 1.83 hours, about 2.05 hours, about 3.54 hours, and 5.51 hours. the options in the dropdown box for b) are: about 1 hour, about...
- M Mathematics Graph lines and find the solution ( where do the lines cross)y=1/2x + 5y= -5/2x -1...
- M Mathematics The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the 5-number summary and use it to create a boxplot. 18, 20, 23, 27, 29,...
- M Mathematics Which expression has the same value as (0.06) x (0.154)? Select all that apply....
- M Mathematics If Alex can do 15 jumping jacks in 20 seconds, how many can he do in 2 minutes...
- M Mathematics a student is asked to predict the time it wo I ld take for the blue marble to travel 4 meters what is the time...
- M Mathematics The sum of the measures of angle Mand angle Ris 90°. The measure of angle Mis (5 x + 10). The measure of angle R is 55°. What is the value of x?...
- M Mathematics Help me please i dont want to die...
- M Mathematics 2) Solve the system of linear equations using elimination by addition or subtraction. Sy=x-1 12. – y=0 O (1,2) 0 (-1,2) O (-1, - 2) O (1, - 2)...
- M Mathematics Find the value of N. n = ???...
Ответ:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³3 seconds
120 ft³ x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
30 seconds.
Ответ:
20. AB = 42
21. BC = 28
22. AC = 70
23. BC = 20.4
24. FH = 48
25. DE = 10, EF = 10, DF = 20
Step-by-step explanation:
✍️Given:
AB = 2x + 7
BC = 28
AC = 4x,
20. Assuming B is between A and C, thus:
AB + BC = AC (Segment Addition Postulate)
2x + 7 + 28 = 4x (substitution)
Collect like terms
2x + 35 = 4x
35 = 4x - 2x
35 = 2x
Divide both side by 2
17.5 = x
AB = 2x + 7
Plug in the value of x
AB = 2(17.5) + 7 = 42
21. BC = 28 (given)
22. AC = 4x
Plug in the value of x
AC = 4(17.5) = 70
✍️Given:
AC = 35 and AB = 14.6.
Assuming B is between A and C, thus:
23. AB + BC = AC (Segment Addition Postulate)
14.6 + BC = 35 (Substitution)
Subtract 14.6 from each side
BC = 35 - 14.6
BC = 20.4
24. FH = 7x + 6
FG = 4x
GH = 24
FG + GH = FH (Segment Addition Postulate)
Collect like terms
Divide both sides by -3
FH = 7x + 6
Plug in the value of x
FH = 7(6) + 6 = 48
25. DE = 5x, EF = 3x + 4
Given that E bisects DF, therefore,
DE = EF
5x = 3x + 4 (substitution)
Subtract 3x from each side
5x - 3x = 4
2x = 4
Divide both sides by 2
x = 2
DE = 5x
Plug in the value of x
DE = 5(2) = 10
EF = 3x + 4
Plug in the value of x
EF = 3(2) + 4 = 10
DF = DE + EF
DE = 10 + 10 (substitution)
DE = 20