a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answers
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
Answer:
40 boxes
box = 24 x 15 x 10 = 3600 cm
A paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips
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Answers
a. How many degrees would the Ferris wheel rotate in 100 seconds?
b. How far has a person traveled of he or she has been on the Ferris wheel for 7 minutes?
c. How long would it take for a person to travel 200 feet?
Try to show work :))
Answers
Answer:
A) 60 Degrees
B) 550 Feet
C) 2.5 minutes
Step-by-step explanation:
a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution
1 min = 60 secs
10 min = 600 secs
100/600 = 1/6
One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .
360/6 = 60°
b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference = 550 Feet.
C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .
.
After solving this equation as there is only one unknown which is "t "the answer will be 2.5 minutes.
Answers
1-(1/4+3/8)=
1-(2/8+3/8)=
1-5/8=
8-5/8=
3/8 have left
3(x+6y)+4=9y+19
Answers
The solution of the system 4x + 1 = 5(x - 3y) - 6 and 3(x + 6y) + 4 = 9y + 19 is x = 16/3 and y = -1/9.
What is the system of equations?
One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
To solve the system of equations:
4x + 1 = 5(x - 3y) - 6
3(x + 6y) + 4 = 9y + 19
We will first simplify each equation by expanding the brackets and combining like terms:
4x + 1 = 5x - 15y - 6
- > 4x-5x = -15y-6-1
-> -x = -15y-7
-> x = 15y+7
3x + 18y + 4 = 9y + 19
-> 3x+9y=15
-> x+3y=5
Now we have two equations:
x = 15y + 7
x + 3y = 5
We can substitute the expression for x in the second equation:
15y + 7 + 3y = 5
Simplifying and solving for y, we get:
18y = -2
y = -1/9
Now that we know y, we can substitute this value back into either equation to solve for x. Let's use the first equation:
x = 15y + 7
x = 15(-1/9) + 7
x = 16/3
Therefore, the solution to the system of equations is:
x = 16/3 and y = -1/9.
To learn more about the system of equations;
#SPJ2
Answer:
x = 15y + 7
x = -3y + 5
Answers
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Answers
3+4+5=12
So there is 3 green cups, you would do 5/12
So the answer would be 5/12