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earnstyle [38]
3 years ago
10

A local radio station had a contest to see who could guess closest to the actual number of jellybeans that filled a small car. t

he number of jellybeans that were in the car was 785,000. the radio station used bags that contained 800 jellybeans each and dumped the jellybeans in the car until is was full. randall and susie had an argument about how many bags the radio station had to use to fill the car. randall claimed the radio station needed more than 981 bags. susie claimed that the radio station used exactly 981 bags to fill the car. who is correct? explain by finding exactly how many bags of jellybeans the radio station used to fill the car.
Mathematics
1 answer:
Allushta [10]3 years ago
4 0
Given:
Number of jelly beens in the car: 785,000
Number of jelly beans in a bag: 800

Number of bags needed to fill the car?

785,000 / 800 = 981.25

Randall claimed = more than 981 bags
Susie claimed = exactly 981 bags.

Randall is correct. More than 981 bags.

981 x 800 = 784,800  

There is a missing 200 jelly beans if exactly 981 bags were used. Thus, a quarter of the 982nd bag is used to complete the 785,000 jelly beans. 
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Monica [59]

The system of inequalities is:  x\geq 3 and 12x+7y\leq 63

<em><u>Explanation</u></em>

Let x  be the amount of live bait and y  be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be:  x\geq 3

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying x pound of live bait =\$12x and the cost for buying y pound of natural bait =\$7y

Thus, the second inequality will be:  12x+7y\leq 63


5 0
3 years ago
The circumference of a circle is 6 pi cm what is the length of an arc of 140 degree
ValentinkaMS [17]
Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
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3 0
3 years ago
Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length
lions [1.4K]

Answer:

The value of y that would make O P parallel to L N = 36

Step-by-step explanation:

This is a question on similar triangles. Find attached the diagram obtained from the given information.

Given:

The length of O L = 14

the length of O M = 28

the length of M P = y

the length of P N = 18

Length MN = MP + PN = y + 18

Length ML = MO + OL = 28+14 = 42

For OP to be parallel to LN,

MO/ML = MP/PN

MO/ML = 28/42

MP/PN= y/(y+18)

28/42 = y/(y+18)

42y = 28(y+18)

42y = 28y + 18(28)

42y-28y = 504

14y = 504

y = 504/14 = 36

The value of y that would make O P parallel to L N = 36

8 0
3 years ago
Read 2 more answers
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tiny-mole [99]

Answer:

$17.89

Step-by-step explanation:

Net Price: $ 16.99

+ Sales Tax (5.3%): $ 0.90

Total Price: $ 17.89

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3 years ago
If I have two cars and the mileage on them is 10 and 100, which one has better mileage?
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100 is the best mileage

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