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3 years ago

What is 22/4 +22/5x 15

1 answer:

6 0

<span>(22/4 +22/5x) 15
=15(</span> $\frac{22}{4}+ \frac{22}{5x}$ )
=15 $(\frac{5x(22)}{5x(4)}+ \frac{4(22)}{4(5x)})$
=15 $(\frac{110x}{20x}+ \frac{88}{20x})$
=3 $(\frac{110x}{4x}+ \frac{88}{4x})$
=3 $(\frac{110x+88}{4x})$
=3 $(\frac{27.5x+22}{x})$

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Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how

Alexeev081 [22]

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

$x-\dfrac{1}{3}x=\dfrac{2}{3}x$

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

$Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}$

$Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x$

$Remaining=\dfrac{10x-4x}{15}$

$Remaining=\dfrac{6x}{15}$

$Remaining=\dfrac{2x}{5}$

It is given that the remaining amount is $12.

$12=\dfrac{2x}{5}$

$12\times 5=2x$

$60=2x$

Divide both sides by 2.

$\dfrac{60}{2}=x$

$30=x$

Therefore, Bobby have $30 at first.

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3 years ago

A trapezoid is a quadrilateral with exactly one pair of what sides.

balu736 [363]

Answer:

parallel

Step-by-step explanation:

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3 years ago

Abriana claims that the solution to the system of linear equations y = 2x – 1 and –12x + 3y = 9 is (–2, –5). Select all methods

EleoNora [17]

Answer:

Substitution method can be used

Step-by-step explanation:

Given the system of equations

y = 2x-1 ....1

-12x + 3y = 9 ....2

The best method to use id the substitution method

Substitute equation 1 into 2;

From 2;

-12x + 3y = 9

-4x + y = 3

-4x + 2x-1 = 3

-2x -1 = 3

-2x = 3+1

-2X = 4

x = -4/2

x = -2

Substitute x = -2 into 1

y = 2x - 1

y = 2(-2)-1

y = -4-1

y = -5

Hence the solution to the system of equation is (-2, -5)

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2 years ago

What model describes the relationship between the amount of money in an account and time, given that the money doubles every mon

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If we have a common ratio every set amount of time (and not a common difference or addition), this is an exponential relationship. An exponential equation would have a form like Money = (1000)(2)^(# of months), where every additional month would cause the money amount to double.

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3 years ago

Read 2 more answers

The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side l

vaieri [72.5K]

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

<h3>How to determine the side lengths?</h3>

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches