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AURORKA [14]
3 years ago
8

Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

Each lap took him 48 seconds

Step-by-step explanation:

Pierce swims 10 laps in 8 minutes.

Let the amount of time he spent for each lap = t minutes.

Then, since each lap takes equal time, the total time taken for 10 laps = 10t minutes.

But, it is given that the total time taken for 10 laps = 8 minutes.

Therefore,

10t = 8

Divide both sides by 10.

t = 0.8 minutes or

t = 48 seconds

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Solve for x.<br> x + 1 = 2<br> Ox= 1/4<br> O x= 1/2<br> O x = -1/2<br> 0 x = -1/4
Bogdan [553]

Answer:

x=-1/2

Step-by-step explanation:

7 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap
pogonyaev

Answer:

Rate of increase in height =\frac{dh}{dt}=0.3156ft/min

Step-by-step explanation:

we know that volume of a cone is given by

V=\frac{1}{12}\pi d^{2}h

It is Given that diameter equals height thus we have

V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}

Differentiating both sides with respect to time we get

\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})

Applying values and solving for \frac{dh}{dt} we get

\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min

8 0
3 years ago
Bill rented a truck for one day.There was a base fee of $15.95,and there was a additional charge of 92 cents for each mile drive
denpristay [2]

Answer:

271 miles

Step-by-step explanation:

15.95+0.92 x=265.27

0.92 x=265.27-15.95

.92 x=249.32

x=24932/92=271

6 0
3 years ago
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative -42 (-4)2 42
Sati [7]

Answer:

Given the expression:

1.

-4^2

we know:

4^2 = 4 \times 4 = 16

then;

-4^2 = -16

Therefore, the value of expression -4^2 is -16 i.e negative.

2.

(-4)^2

we know:

4^2 = 4 \times 4 = 16

(-1)^2 = 1

then;

(-4)^2 = (-1)^2 \cdot (4)^2= 16

Therefore, the expression (-4)^2 is 16 i.e Positive.

3.

4^2

we know:

4^2 = 4 \times 4 = 16

then;

4^2 = 16

Therefore, the expression 4^2 is 16 i.e Positive.


8 0
3 years ago
The city is planning to add a fishpond to a neighborhood park the figure below is a scale drawing of the fishpond it's scale is
notsponge [240]
I saw the figure of the fishpond. It composed of a rectangle and a circle. The circle is cut into two and each half is attached to the width of the rectangle making an oblong shaped fishpond.

Length of the rectangle: 2.5 inch
Width of the rectangle and diameter of the circle: 1 inch

1/2 inch equals 15 feet.

2.5 inches = 75 feet
1 inch = 30 feet

Area of a rectangle = 75 ft * 30 ft = 2,250 ft²
Area of a circle = 3.14 * (15ft)² = 3.14 * 225ft² = 706.50 ft²

Total Area = 2,250 ft² + 706.50 ft² = 2,956.50 ft²
5 0
4 years ago
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