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PolarNik [594]
3 years ago
5

Explain how the equation 312.50=a+0.25a

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

312.50= a+0.25a

We need to combine like terms a=1. All variables without a value equal 1.

a+0.25a= 1.25a

312.50= 1.25a

Divide both sides by 1.25, since 1.25 is being multiplied by a.

a= 250

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O Destiny has read -2b + 78 pages in a book that has 10b + 3 pages in all. She has 12b - 75 pages left to read. true or false ​
Gemiola [76]

Answer:

True

Step-by-step explanation:

The pages left = total pages - the pages read

(10b + 3) - (-2b +78)

10b + 2b + 3 - 78

12b - 75

The pages left is equal to 12b - 75

4 0
2 years ago
Can someone confirm this? is it correct?
EastWind [94]
<span>60 Sorry, but the value of 150 you entered is incorrect. So let's find the correct value. The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So (300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500 So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that: (375+x)(240+x)-90000 = 40500 The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation: (375+x)(240+x)-90000 = 40500 x^2 + 375x + 240x + 90000 - 90000 = 40500 x^2 + 615x = 40500 x^2 + 615x - 40500 = 0 Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
8 0
3 years ago
How does the area of the polygons compare to π? ( π is 3.14)
soldi70 [24.7K]

The area of the polygons compare to π in the way that as more angles and sides are added to a polygon the polygon becomes closer to a circle; the perimeter slowly changes to circumference. Π is used to find the area and circumference of a circle, so as polygons come closer to becoming circles π becomes more strongly associated to the polygon. You can even use π to find the approximate area of a circle if you use the same formula (as you would to find the area of a circle) on a polygon. Another way to go about it is like this…

You can find the area of a circle if you know the circle’s circumference by using these steps:

<span>1.         Divide the circumference by π to find the diameter of the circle.</span>

<span>2.         Divide the diameter by 2 to find the radius of the circle.</span>

<span>3.         Now that you have the radius you can use the formula Area= πr2 to find the area of the circle.</span>


5 0
3 years ago
Read 2 more answers
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Sunny_sXe [5.5K]

Answer:

180+54sqrt3

You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609

5 0
3 years ago
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inessss [21]

Answer:

The radius of the inner circle is 14 ft. Since the outer circle is 3 ft more than the inner circle, its radius is 17 ft. The circumference formula is 2(pi)radius (or 2(22/7)17 in this case). The circumference of the outer circle is 106.85 ft (or 106.9 if rounding). To find the difference, you would subtract the smallest FROM the greatest:

106.85 - 88 = 18.85 ft (or 18.9 if rounding)

8 0
2 years ago
Read 2 more answers
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