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1 year ago

The sum of 4 consecutive odd integers is -24. What are they?

Mathematics

1 answer:

forsale [732]1 year ago

8 0

Step-by-step explanation:

4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.

and then we have

-24 = x + x+2 + x+4 + x+6 = 4x + 12

4x = -36

x = -9

x+2 = -7

x+4 = -5

x+6 = -3

so, in sequence from small to large these 4 numbers are

-9, -7, -5, -3

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A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

Convert a fraction to simplest form

irakobra [83]

Answer:

Ok so I made up a fraction 7/5

! The result can be shown in multiple forms.

Exact Form:

7/6

Decimal Form:

1.16

Mixed Number Form:

1 1/6

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3 years ago

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to

Dominik [7]

The answer would be 1 3:2

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3 years ago

I wonder who can solve this ? 20×20÷5+100-50

quester [9]

Use PEMDAS

20 * 20/5 + 100 - 50

Multiply and divide first

20 * 20 = 400

400/5 = 80

Add 100 and then subtract 50

80 + 100 = 180

180 - 50 = 130

130 is the answer.

8 0

2 years ago

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A golfer is standing on a tee with a green in a valley below. If the tee is 43 yards higher

Ksivusya [100]

Answer:

$13.65^0.$