3 years ago

The sum of 9/26 and -4/13

Mathematics

1 answer:

ohaa [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Ok, well the first thing you need to do is make -4/13 have the same numerator as 9/26. Thankfully, 26 is a multiple of 13, so that step is easy:

-4/13 -> -8/26

Then you can add them together with ease.

9/26 + -8/26 = 1/26

Adding a negative number to anything is the same thing as subtracting.

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Solve the inequality. |4x + 2| < 26

balu736 [363]

Hello,
Answer D

1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6

2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2

==>-4x-2<26
==>-4x<28
==>x>-7

thus -7<x<6

8 0

3 years ago

How many full glasses of water will be needed to fill the jug ? Jug= 2.8 litres, Cup= 200ml

igomit [66]

Answer:

14 cups

Step-by-step explanation:

1 l = 1000ml

to filled the jug we need 2.8 litres

2.8 l to ml

2.8 × 1000

= 2800ml

how many cup would give us 2800ml

2800 ÷ 200

=14 cups

3 0

2 years ago

I need help with 7.5-3.2+4 to the power of 3 divided by 2

SOVA2 [1]

7.5 - 3.2 = 4.3 + 4 = 8.3^3 = 571.787 ÷ 2 = 285.8935 rounded to 285.9

8 0

3 years ago

(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$