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mina [271]
3 years ago
6

6 more than 5 times a number is 26. What is the number?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0
Hey there!
We'll define "the number" as x. We know that "is" signifies an equals sign and therefore an equation, and we're going to be adding six to five times x. Therefore, we have:
5x + 6 = 26
Add -6 to both sides:
5x = 20
Divide both sides by 5 to get:
x = 4
So, 4 is the number.
Hope this helps!
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Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
Zinaida [17]

The denominators of the fractions are 2 and 10.

<h3>The fractions with numerators of 1 that have sum of 3 / 5  is calculated below</h3>

The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y

  • 1 / x + 1 / y = 3 / 5

Therefore,

1 / x  + 1 / y = 3 / 5

y + x / xy = 3 / 5

cross multiply

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Using hit and trial method,

5(2) + 5(10) = 3(10)(2)

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The values are same.

Therefore, the denominators are 2 and 10.

learn more on fraction here: brainly.com/question/11849602?referrer=searchResults

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3 years ago
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Answer:

(a  + 4)(a + 6)

Step-by-step explanation:

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I think you are asking us to factor the quadratic.

1. Multiply the leading coefficient and the constant

1 × 24 = 24

2. Find two numbers that multiply to give 24 and add to give 10.

Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6

Start with the numbers near the end of the list.

By trial and error, you will find that 4 and 6 work:

4 × 6 = 24 and 4 + 6 = 10

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a² +4a + 6a +24

4. Factor by grouping the first two and the last two terms

a(a + 4) + 6(a + 4)

5. Distribute the a + 4

(a  + 4)(a + 6)

a² + 10a + 24 = (a  + 4)(a + 6)

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