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Tasya [4]
3 years ago
10

Find the lowest terms fraction that's equal to 0.71.

Mathematics
1 answer:
Rudik [331]3 years ago
7 0
71/100 is the lowest the fraction can get
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Answer in factored form x^2+11x+7
KATRIN_1 [288]
X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
7 0
3 years ago
Find the distance between each pair of points. round your answer to the nearest tenth.
goldenfox [79]

Answer:

5.4

Step-by-step explanation:

To find the distance between each pair of points, we use the distance formula, which is:

d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2  }

So we have

x_{1} = 2\\ x_{2} = 4\\y_{1} = 8\\y_{2}=3

When we plug in the values into the formula we get:

d = \sqrt{(4-2)^2 + (3-8)^2}

d = \sqrt{4 + 25}\\ =\sqrt{29}\\ =5.4

3 0
3 years ago
Read 2 more answers
The price of a gallon went from $0.64 to $0.68 per gallon. What was the percent of increase in the price of a gallon?
Paraphin [41]

Answer:

0.20%

Step-by-step explanation:

I think, I'm not sure on

7 0
3 years ago
Read 2 more answers
One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.
Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=\frac{12\times 312}{100}

=\frac{3744}{100}

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

6 0
3 years ago
Please help me with number 1
andreev551 [17]

If I’m correct, then the answer is D. Someone please correct me if I’m wrong.

7 0
3 years ago
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