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andrew11 [14]
3 years ago
7

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 1,4501 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
1 answer:
V125BC [204]3 years ago
6 0
Let x be the no of boxes.

120x = 14501
x = 14501/120

Upon division the quotient +1 = The no of boxes required and 
The remainder is the amount of popcorn in the last box

No of boxes = 121 boxes
Kernels in the last box = 101 kernels
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Step-by-step explanation:

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Solve the triangle. Round your answers to the nearest tenth.
wel

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Step 1: Find m∠B

\frac{29}{sin82} =\frac{24}{sinB}

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

\frac{29}{sin82} =\frac{BC}{sin42.962}

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

4 0
3 years ago
Factor the gcf out of the expression: -6x^3 - 9xy + 18x
Westkost [7]

Answer:

-207xy

Step-by-step explanation:

-6x^3 - 9xy + 18x

-216x -9xy +18x

-225xy + 18x

-207xy

If I'm not mistaken.

6 0
3 years ago
For the last basketball game, 381 tickets were sold. Adult tickets sold for $7, and student tickets sold for $3. How many adult
vovikov84 [41]

Answer: 96 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of students tickets that were sold.

For the last basketball game, 381 tickets were sold. This means that

x + y = 381

Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that

7x + 3y = 1527 - - - - - - - - - - - -1

Substituting x = 381 - y into equation 1, it becomes

7(381 - y) + 3y = 1527

2667 - 7y + 3y = 1527

- 7y + 3y = 1527 - 2667

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y = - 1140/- 4

y = 285

x = 381 - y = 381 - 285

x = 96

4 0
3 years ago
Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard
Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=32.5

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For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

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Hence, the required probability :-0.4302

3 0
3 years ago
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