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Georgia [21]
3 years ago
14

Match the real-world problem to its constant of proportionality.

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

6.12

1.39

4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by k = \frac{y}{x}

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is \frac{18.36}{3} = 6.12

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is \frac{4.17}{3} = 1.39

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is \frac{16.48}{4} = 4.12

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is \frac{24}{2} = 12 (Answer)

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Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be \frac{500}{97.9} or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be \frac{1000}{208.2} or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

3 0
3 years ago
Can someone help me its urgent:( ??
wariber [46]

Answer:

see the procedure

Step-by-step explanation:

Identify

Let

x ---> the cost of the Xbox one at Walmart

Strategy

we know that

The cost of the Xbox one at Walmart multiplied by 2 plus $50 must be equal to $450

Set up

The algebraic expression that represent this situation is

450=2x+50

Solve

solve for x

450=2x+50

2x=450-50\\2x=400\\x=\$200

Check

substitute the value of x in the equation

450=2(200)+50

450=450 ----> is ok

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3 years ago
The ratio of chaperones to students on a field trip to New York City is 2 to 11. If there are 297 students on the trip, how many
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297/11 = 27

So we have 27 groups of 11 students. If there are 2 chaperones for every 11 students, then we can do:

27x2=54

There are 54 chaperones on the field trip.
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\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)

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2 years ago
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