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sasho [114]
3 years ago
15

Find two positive numbers whose difference is 12 and whose product is 160.

Mathematics
1 answer:
Minchanka [31]3 years ago
8 0
20 and 8 make a product of 160
and their difference is 12
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The answer is 8.3 percent
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3 years ago
You are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet. If the course is 320 acres, how m
NemiM [27]
1 Acre = 43560 square feet 
1 Ton = 2000 pounds

320 Acres = 320 * 43560 square feet = 13939200 = <span>1393.92 * 10,000

</span>1393.92 *40 pounds needed = 55756.8
55756.8 / 2000= <span>27.8784 </span>
5 0
3 years ago
Read 2 more answers
Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

   = 8 (2q² + 3q + 1) + 1

   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0
3 years ago
I need step by step help with: 3x^1/3 + 2x^2/3 =5
Luba_88 [7]
If you write y=x^{1/3}, you'll notice this is really just a quadratic equation that can be factorized:

2x^{2/3}+3x^{1/3}-5=0\iff 2y^2+3y-5=0\iff (2y+5)(y-1)=0\iff(2x^{1/3}+5)(x^{1/3}-1)=0

So you have

2x^{1/3}+5=0\implies 2x^{1/3}=-5\implies x^{1/3}=-\dfrac52\implies x=-\dfrac{125}8

and

x^{1/3}-1=0\implies x^{1/3}=1\implies x=1
5 0
3 years ago
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°. Write and solv
RUDIKE [14]

Your answer would be <u><em>0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.</em></u>

3 0
2 years ago
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