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Naya [18.7K]
3 years ago
11

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

6 0
3 years ago
What is .1664 as fraction?
Yanka [14]
104/625 is expressed as a fraction and is in the simplest form
5 0
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:

<em>Farmer Bill sold 120 lb of potatoes</em>

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

x = 120 lb

Farmer Bill sold 120 lb of potatoes

5 0
3 years ago
Mike hiked to a lake in 4.5 hours at an average rate of 2
aleksandrvk [35]

Answer:

It took Pedro  <em>3.81 hours</em> 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  <em>3.81 hours</em> to reach the lake.

6 0
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:

4 0
3 years ago
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