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balu736 [363]
1 year ago
9

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernel

s. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last partially filled box?
Mathematics
2 answers:
Aleksandr [31]1 year ago
5 0
13 of the boxes would be entirely filled, so 14 boxes would be needed in total. There would be 40 popped kernels in the last box.
Phantasy [73]1 year ago
3 0
1600 / 120 = 13.3
You will need 14 boxes.

120 x 0.3 = 36
There were 36 kernels in the partially filled box.
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A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way around one time,the bicycle travels 198 ce
OlgaM077 [116]

Answer:

π = 198/63

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

Step-by-step explanation:

Height of the wheel: Diameter of the circle

Perimeter of the circle = π*diameter of the circle

Divide the diameter of the circle by the perimeter of the circle.

π = 198/63

<em><u>Hope this helps.</u></em>

8 0
2 years ago
Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Tris
mr Goodwill [35]

Answer:

$113.50

Step-by-step explanation

  1. add $15.60 + $29.80 = $45.40
  2. multiply $45.40 x 2.5 = $113.50

7 0
2 years ago
A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the clif
LUCKY_DIMON [66]

Answer:

The of depression between the cliff and the boat is 48.74 degrees.

Step-by-step explanation:

We have,

Height of the cliff is 200 foot

Distance of boat from the cliff is 175 feet

It is required to find the angle of depression between the cliff and the boat.

Here, 200 foot is perpendicular distance and 175 is base.

Using trigonometry :

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{200}{175}\\\\\theta=\tan^{-1}(1.14)\\\\\theta=48.74^{\circ}

So, the of depression between the cliff and the boat is 48.74 degrees.

8 0
1 year ago
Question Please help. Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gall
Nadusha1986 [10]
3.5x + 4y = 45 x=6, y= 6 is the most likely answer. Non whole number variations would be: x=8, y=4.25 x=4, y=7.75
4 0
1 year ago
On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours. Find both the miles driven per hour and the hours driven per mil
amid [387]

Miles driven per hour is 60 miles per hour

Hours driven per mile is 0.01667 hours per mile

<em><u>Solution:</u></em>

Given that,

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours

Therefore,

Miles driven = 210 miles

Time\ taken = 3\frac{1}{2}\ hour = \frac{7}{2} = 3.5\ hour

To find: miles driven per hour and the hours driven per mile

<h3><u>Miles driven per hour</u></h3>

\frac{miles}{hour} = \frac{210}{3.5}\\\\\frac{miles}{hour} = 60\ miles\ per\ hour

<h3><u>Hours driven per mile</u></h3>

\frac{hours}{miles} = \frac{3.5}{210}\\\\\frac{hours}{miles} = 0.01667\ hours\ per\ miles

Thus both the miles driven per hour and the hours driven per mile are found

7 0
2 years ago
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