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3 years ago

12

At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 o

ranges for a total harvest of 41790 oranges.

1 answer:

Paul [167]3 years ago

8 0

There were 199 trees that produced the harvest. 5 trees would produce 1050 oranges.

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Write each number in SCENTIFic notation 64,000

adelina 88 [10]

Scientific notation means the numbers have to be between 1 and 10, so here is the answer as well as where to move the decimal

8 0

3 years ago

Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0

4 years ago

A circle is inscribed in a square. Write and simplify an expression for the ratio of the area of the square to the area of the c

STALIN [3.7K]

Best Answer:<span> </span><span>So first we need both areas, then we can relate them, and then divide the circle by the square:

A(circle) = πr^2
A(square) = L*W or (2r)*(2r) which is (2r)^2

For the square, we know this is true because because the radius is half the diameter, so if we multiply the radius by 2, we get the length of one side of the square. We also know that the lengths of both sides of the square are the same by definition of a square.

Ratio: (πr^2)/(4r^2) = π/4</span>

8 0

3 years ago

Before you factor you should check what two things?

Sergeeva-Olga [200]

You can check your factoring by multiplying them all out to see if you get the original expression. If you do, your factoring is correct; otherwise, you might want to try again

7 0

3 years ago

Read 2 more answers

The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the rad

dybincka [34]

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

$\frac{5\times450000}{100} =5\times450000=2250000\div100=22500$
$450000-22500=427500$
$r=427500$

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

6 0

3 years ago