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2 years ago

Round .859 to nearest tenth

Mathematics

2 answers:

Marina86 [1]2 years ago

7 0

The answer to this is 0.9

Nikolay [14]2 years ago

6 0

0.9. The reason why is because the 5 brings the 8 to a 9.

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2. Olivia is buying juice boxes for a party. She is comparing two brands to determine the best price. The price for a carton con

ololo11 [35]

1 carton : 8 boxes for 2.80 = 2.80/8 = 0.35 per box (All natural juice)
1 carton : 6 boxes for 1.98 = 1.98/6 = 0.33 per box (Just juice)

difference between the 2 is 0.02 (2 cents)

if she paid 7.92 for x cartons of Just Juice, 7.92 / 0.33 = 24 boxes...and there are 6 boxes per carton.....24/6 = 4 cartons were bought for $ 7.92

price for same number of juice boxes of All Natural juice is :
24 * 0.35 = $ 8.40

3 0

3 years ago

Simplify; 1/x^2+5x+6 + 1/x^2+3x+2<br><br> pls I need a step by step solution urgently

ikadub [295]

Answer:

The simplest form of $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ is $\frac{2}{(x+1)(x+3)}$

Step-by-step explanation:

To add two algebraic fractions do these steps

Factorize each denominator
Simplify each fraction to its lowest term
Find the LCM of the two denominators
Divide LCM by each denominator and multiply the numerators by its corresponding quotients
Add the two fraction and simplify the last answer

To simplify $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$

Factorize each denominator

∵ The denominator of the first fraction is x² + 5x + 6

∵ x² = (x)(x)

∵ 6 = (2)(3)

∵ (2)(x) + (3)(x) = 5x ⇒ middle term

∴ x² + 5x + 6 = (x + 2)(x + 3)

∵ The denominator of the second fraction is x² + 3x + 2

∵ x² = (x)(x)

∵ 2 = (2)(1)

∵ (2)(x) + (1)(x) = 3x ⇒ middle term

∴ x² + 3x + 2 = (x + 2)(x + 1)

Find the LCM of the two denominators

∵ The denominators are (x + 2)(x + 3) and (x + 2)(x + 1)

- LCM is all the <u><em>different factors</em></u> multiplied together

∴ LCM of them is (x + 1)(x + 2)(x + 3)

- Divide LCM by each denominator

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 3) = (x + 1)

- Multiply the numerator of the first fraction by (x + 1)

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 1) = (x + 3)

- Multiply the numerator of the second fraction by (x + 3)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{x+1}{(x+1)(x+2)(x+3)}+\frac{x+3}{(x+1)(x+2)(x+3)}$

- Add the numerators and write the answer as a single fraction

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2x+4}{(x+1)(x+2)(x+3)}$

- Factorize the numerator by taking 2 as a common factor

∵ 2x + 4 = 2(x + 2)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2(x+2)}{(x+1)(x+2)(x+3)}$

- Simplify the fraction by dividing up and down by (x + 2)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2}{(x+1)(x+3)}$

The simplest form of $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ is $\frac{2}{(x+1)(x+3)}$

5 0

3 years ago

What number has the same value as 14 tens

tangare [24]

If there are 14 tens, that is 14 multiplied by 10. 14 x 10 = 140.

140 is the answer.

Hope this helps :)

8 0

3 years ago

Can you help me find the answer to it pls and ty <3 .

grin007 [14]

The expression that represent the area of the cut off part is 81π / 4

The area of the cut off part can be found as follows:

Area of a circle = πr²

where

r = radius

Therefore, the cut off part is like 1 / 4th of a circle.

Hence,

area of the cut off region = πr² / 4

r = 9 inches

area of the cut off region = π9² / 4

area of the cut off region = 81π / 4

learn more on area here: brainly.com/question/15403474

#SPJ1

4 0

1 year ago

I dont understand how to do this

krok68 [10]

Cacacacacacacacacac hdjdj sushi’s jsjsjsj hahah

5 0

3 years ago