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marysya [2.9K]
2 years ago
5

Why is “3 meals a day” a unit rate? It compares 1 meal to 1 day. It compares 1 meal to 3 days. It compares 3 meals to 1 day. It

compares 3 meals to 3 days.
Mathematics
1 answer:
asambeis [7]2 years ago
3 0

Answer:

  It compares 3 meals to 1 day.

Step-by-step explanation:

"Unit rate" refers to a rate that has 1 unit in the denominator.

  (3 meals)/(1 day) . . . . "three meals per day"

has one unit (1 day) in the denominator, so that is a unit rate.

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What is the sum answer of (1/3)9³ =
Verdich [7]
\frac{1}{3}\cdot9^3=\frac{1}{3}\cdot9\cdot9\cdot9=\frac{9}{3}\cdot9\cdot9=3\cdot9\cdot9=27\cdot9=\boxed{243}
3 0
2 years ago
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Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 8 cubic feet
adell [148]

Answer:

dh/dt = 0,07 ft/min

Step-by-step explanation:

The swimming pool has the shape of right circular cylinder, therefore its volume is

V(c) = π*x²*h

Where x is the radius of the base and h the height

We take differentiation on both sides of the equation to get:

dV/dt  =  π*x²*dh/dt

The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.

Then:

8  = π*x²*dh/dt

dh/dt = 8 /  π*x²

dh/dt = 8/113,04

dh/dt = 0,07 ft/min

7 0
2 years ago
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
Likurg_2 [28]
HEY THERE !!

GIVEN :- Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils.

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So 60/5= 12
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HOPE IT HELPED YOU.
3 0
2 years ago
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The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from th
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Weight = k/(distance)² → Weight = 2,737,800,000/(4225)² = 153.37

Weight = 153.37 lb

8 0
2 years ago
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