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konstantin123 [22]
4 years ago
11

At the game Spectators can buy a large popcorn (16 oz cup) for $1.12 or a small popcorn (12 oz cup) for $0.96 which Popcorn opti

on is the better buy ( has a lower unit rate)?
Mathematics
1 answer:
shtirl [24]4 years ago
8 0

The unit ratio is defined as the total cost divided by the number of oz.

So, the large popcorn has a unit cost of

\dfrac{1.12}{16}=0.07

meaning that 1oz of pop corn costs 7 cents.

Similarly, the small popcorn has a unit cost of

\dfrac{0.96}{12}=0.08

meaning that 1oz of pop corn costs 8 cents.

So, the large popcorn has a lower unit rate.

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Maurinko [17]

Answer

12855.04 ft³

Step-by-step explanation:

regular Octagon consists of 8 congruent triangles

B = (13.28 x 11) / 2 x 8=584.32

V = BH = 584.32 x 22 = 12855.04

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3 years ago
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Students in Mr. Klein’s chemistry class are conducting an experiment to calculate the specific heat of a copper sample. Mr. Klei
aleksandrvk [35]
The following lab team that has an unresolved problem on their hands is team 2 in which they calculated 0.395 J/gºC since they have higher percent error compared to the other team which only has 0.390 J/gºC. So the answer would be letter B - <span>team 2: calculates 0.395 J/gºC.</span>
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3 years ago
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The probability of a certain brand of battery going dead within 15 hours is. Noah has atoy that requires 4 of these batteries. H
Delicious77 [7]

Question:

The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to estimate the probability that at least one battery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.

Answer:

The number of marbles of each color that should be present in the bag is;

1 red marble and 2 green marbles

Step-by-step explanation:

Here, we note that the probability of a battery going dead = 1/3 and the

Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag

That is there should be 1 red marble and 2 green marble in the bag.

4 0
3 years ago
21 is 1/10 of 2,100 true or false
AlexFokin [52]
The correct answer is
False
8 0
3 years ago
You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed
shtirl [24]
<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

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

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

Upstream\ time = \frac{4}{0.5r} -------- eqn 2

<h3>Finally, you turn around and return to your original starting point at a speed of  r + 1 miles per hour</h3>

Therefore,

time = \frac{1}{r+1} ----------- eqn\ 3

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95

Thus it takes 2.95 hours when r is 4 miles per hour

8 0
3 years ago
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