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creativ13 [48]
2 years ago
11

The amount of arable land in the US in the year 2000 was 20% of total land area. Currently, the amount of arable land in the US

is 17.5% of our total land area. Compute the percent change in arable land area in the US over this time period.
Mathematics
1 answer:
Slav-nsk [51]2 years ago
5 0

The percent change in arable land area in the US over this time period is 12.5%

<h3>Percentage Change</h3>

From the question, we are to determine the percent change in arable land area over the given time

Let the total land area be x

From the given information,

In the year 2000, the amount of arable was 20% of total land area

That is,

Amount of arable land = 20% of x

Amount of arable land = 0.2 × x

Amount of arable land = 0.2x

Currently,

The amount of arable land is 17.5% of total land area

Amount of arable land = 17.5% of x

Amount of arable land = 0.175 × x

Amount of arable land = 0.175x

Thus,

Percent change = (0.2x - 0.175x)/0.2x × 100%

Percent change = 0.025x/0.2x × 100%

Percent change = 0.125 × 100%

Percent change = 12.5%

Hence, the percent change in arable land area in the US over this time period is 12.5%

Learn more on Percent change here: brainly.com/question/23885199

#SPJ1

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Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 i
zhannawk [14.2K]

Answer:

(a) 22 (b) 109

Step-by-step explanation:

GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 in an auditorium and notice that there are 73 seats in your row. It appears the row in front of you has 70 seats and the row behind you has 76 seats. Suppose this pattern continues throughout the auditorium.

TO FIND: a) How many seats are in the first row b) How many seats are in the 30th row?

SOLUTION:

total seats in row_{19}=76

total seats in row_{18} =73

total seats in row_{17}=70

as it clearly form an A.P. with d=76-73=3

(a)

let total seat in first row be a

as total seats in row_{18}=73

row_{18}=a+(n-1)d

73=a+17\times3

a=22

total seats in first row are 22

(b)

total seats in 30th be x

x=row_{1}+(30-1)3

x=22+29\times3

x=109

total seats in 30th row  are 109

4 0
3 years ago
How to find the area of the 45-45-90 triangle with a hypotenuse of 24?
ss7ja [257]
The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal.  If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle,    A² + B² = C²

But  A = B  and  C = 24 .

2A² = (24)²

A² = (24)² / 2

But since  A=B,  A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = <u>144</u> . 


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3 years ago
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stealth61 [152]

Answer:

1. X axis, 8, 3

2. Y axis, 4,-9

Step-by-step explanation:

The rule of reflections that the place opposite of the axis is negative so:

The rule for x-axis reflection is (x,-y)

The rule for y-axis is (-x,y)

For the first one, x has remained the same, so that means it’s a x-axis reflection.

So change -3 to 3

Same for the next one.

-9 is not changed so that means it’s a y-axis reflection.

And the point is 4,-9

7 0
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a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
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Answer:

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Step-by-step explanation:

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Stuff costs $256 today. If inflation is 2.5%, how much will it cost next year?
n200080 [17]

Answer: A

Step-by-step explanation: 256 times 2.5% is 256 times 0.025 which equals 6.4. Add 6.4 to 256

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