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3 years ago

Which shows the correct solution of the equation a 1/2a + 2/3b=50, when b=30?

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

The correct solution of the equation 1/2 a + 2/3b = 50 when b=30 is a = 60.

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Find the area of a circle with a diameter of 16.Answer as a decimal

Vlad1618 [11]

Answer:

201.06

Step-by-step explanation:

This is because the formula of the area of a circle is A=(pi)(r) squared

Since the radius if half of the diameter, the radius would then be 8.

8 squared, or 8 x 8 = 64.

64 times pi (64 x 3.14159)= 201.06

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3 years ago

What is .1664 as fraction?

Yanka [14]

104/625 is expressed as a fraction and is in the simplest form

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3 years ago

Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,

Lelu [443]

Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

$\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x$

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

$\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x$

Thus:

$\frac{1}{12}x=10$

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Farmer Bill sold 120 lb of potatoes

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3 years ago

Mike hiked to a lake in 4.5 hours at an average rate of 2

aleksandrvk [35]

Answer:

It took Pedro 3.81 hours to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = $2\frac{1}{5}\ miles/hr$

Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

Rate of Pedro while hiking the same distance = $2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr$

Given that, Pedro also travels the same distance.

And we have to find the Time.

$Time = \dfrac{Distance}{Speed}$

$Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}$

It took Pedro 3.81 hours to reach the lake.

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3 years ago

A cyclist rides his bike at 12 miles per hour. What is this speed per minute? How many miles will the cyclist travel in 20 minut

grandymaker [24]

Answer:

In order to find the distance traveled in one minute, you have to divide the distance he can ride his bike in an hour by the number of minutes in a hour. 6/60= .1 mile per minute. If he rides his bike for five minutes, then you would multiply the number of minutes biked by the distance traveled in a minute. .1*5=.5 mile, or $\frac{1}{2}$ mile.

Step-by-step explanation:

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3 years ago