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TiliK225 [7]
2 years ago
12

In one of his orchards, a farmer harvested 270 apples but realized that 80 of them were unfit for consumption because they were

either overripe or ruined by insects. What percentage of apples were actually good for consumption?
Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Answer: 70.37\%

Step-by-step explanation:

Let be "x" the percentage of apples  that were actually good for consumption.

You know that total number of apples the farmer harvested was 270 apples.  

Then, you can identify that 270 apples represents the 100\%

You know that 80 of them were unfit for consumption, so the number of apples  that were good for consumption was:

270\ apples-80\ apples=190\ apples

Then, you can set up the  following proportion in order to find the percentage of apples  that were actually good for consumption:

\frac{100}{270}=\frac{x}{190}

Finally, you must solve for "x" in order to find its value. This is:

(190)(\frac{100}{270})=x\\\\x=70.37\%

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Stella [2.4K]

Answer:

See  below

Step-by-step explanation:

This graph could describe a relay race.

Jamie writes a scenario that can be modeled by the piecewise function on the graph.

The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.

The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).

1. A runner begins the race and runs at a steady pace for 1 minute.

  • This is incorrect as describes the wrong axis.

It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.

<u>The equation for this part:</u>

  • y = mx + b
  • b = 0 as it starts at origin.
  • m = 1/12
  • y = 1/12x
  • x = [0, 12], y = [0, 1]

2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.

  • Again, as above, wrong axis is described.

It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.

<u>The equation for this part:</u>

  • b =1, as a starting point
  • m = (2-1)/(20-12) = 1/8
  • y = 1/8x + 1
  • x = (12, 20], y = (1, 2]

7 0
2 years ago
The perimeter of the school crossing sign is 102 inches what is the length of each side
Afina-wow [57]
The perimeter of the school crossing sign is 102 inches
length of each side = ?
in the question number of sides is not mentioned, so the answer may vary for the length of each side. if there is 5 sides divide 102 by 5, we get 20.4 answer so in case of 5 sides length of each side is 20.4 inches. if there is 4 sides divide 102 by 4 and we get 25.5 inches answer for the legnth each side.
6 0
2 years ago
find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00
Alex17521 [72]
The future worth (F) of the current investment (P) that has an interest (i) that is compounded annually is calculated through,
                                  F = P x (1 + i)^n
where n is the number of compounding period. Substituting the given values,
                             F = ($2,400) x ( 1+ 0.02)^7 = $2,756.85
Thus, the future worth is approximately $2,756.85. The answer is the second choice. 
3 0
2 years ago
22. What is the percent of increase for a population<br> that changed from 438,000 to 561,000?
ra1l [238]

Answer: 28.08%

Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.

The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.

561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.

So when the population changes from 438,000 to 561,000, it has increased by 28.08%.

5 0
2 years ago
two friends went rowing on the river. they traveled with current for 3 hours. the way back took them 4 hours and 48 minutes. fin
N76 [4]

Answer:

1.5 mph

Step-by-step explanation:

The speed in the still water = 6.5 mph.

The speed of the current = x mph.

1. Two friends traveled with current for 3 hours. The speed with the current is 6.5 + x mph, so they traveled 3(x+6.5) miles.

2. Two friends traveled against the current for 4 hours and 48 minutes that is 4\dfrac{4}{5}=4.8 hours. The speed against the current is 6.5 - x mph, so they traveled 4.8(6.5-x) miles.

They traveled the same distance with the current and against the current, hence,

3(x+6.5)=4.8(6.5-x)

Solve this equation:

3x+19.5=31.2-4.8x\\ \\3x+4.8x=31.2-19.5\\ \\7.8x=11.7\\ \\x=1.5\ mph

4 0
2 years ago
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