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3 years ago

How can I tell if this shows direct or inverse variation? x= y + 2

1 answer:

6 0

-- If the vriation is direct, then doubling 'y' will cause 'x' to double.

-- If the varition is inverse, then doubling 'y' will cause 'x' to shrink by 1/2.

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a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0

3 years ago

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

Harman [31]

J: 1/12
m: 1/12

i think this is the answer. hope it helps :)

6 0

3 years ago

Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.

Vlad [161]

Answer:

Catron's error is

"She did not follow order of operations"

Step-by-step explanation:

Catron evaluates the expression (negative 9) (2 and two-fifths)

That expression can be written as below

$(-9)(2\frac{2}{5})$

Catron's error is

"She did not follow order of operations"

The corrected steps are

Step1: Given expression is $(-9)(2\frac{2}{5})$

Step2: Convert mixed fraction into improper fraction

$(-9)(2\frac{2}{5})=(-9)(\frac{12}{5})$

Step3: Multiplying the terms

$(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

Therefore solution $(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

6 0

3 years ago

Read 2 more answers

What 2 numbers that are the same multiply to be 36 and add up to be 15?

marysya [2.9K]

The only way to have two numbers that are the same and add up to be 15
is if they're both 7.5 , but those don't multiply to be 36. So I guess there's
no answer that satisfies all the conditions of this question.

8 0

3 years ago

Graph the following equation: y = 5

Irina-Kira [14]

If you graphed the equation: y = 5

You would put a straight line going horizontally through 5. Like this picture shows. If it were x = 5, for example, then it would go up and down through 5.

Let me know if this helped! Have a nice day!

6 0

3 years ago

Read 2 more answers