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alex41 [277]
4 years ago
11

Ramon and Justine are watching different broadcasts of a parade on television. The broadcast Ramon is watching airs commercials

every 17 minutes. The broadcast Justice is watching airs commercials every 14 minutes. Both broadcasts started at 7:00 a.m. and are scheduled to end at 9:00 a.m. When will commercials air on both broadcasts at the same time?
Explain your reasoning.
Mathematics
1 answer:
lesya [120]4 years ago
8 0
Since there is a short difference between the starting and ending times, we calculate the schedule of each commercial and then compare the broadcasting times.

Commercials of the broadcast Ramon is watching air at:

7.17,    7.34,     7. 51,    8.08,    8.25,    8. 42     8.59     a.m.

Commercials of the broadcast Justice is watching air at:

7.14        7.28        7.42       7. 56      8.10        8.24       8.38     8.52  a.m.

we can check that there are no matching commercial times.

The commercials will not air on both broadcasts at the same time in the interval 7:00 a.m to 9:00. a.m

Answer: never


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The final result is: 1/20 or 0.05.
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1/4

Step-by-step explanation:

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4 ÷ 4 = 1

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Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans
Valentin [98]

Answer:

1.   2r+1.6b=10

2.  r=5-0.8b

3.  b=6.25-1.25r

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

2r

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

1.6b

Knowing that she spends $10, you can write the following equation:

2r+1.6b=10

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r

7 0
3 years ago
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