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3 years ago

the area of a rectangle is 42 square inches and one side is 12 inches long . find the perimeter of the rectangle

1 answer:

6 0

The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps.

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m

d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, $x+y=22$ ----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

$0.75x+0.40y=11.95$ ------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

$x+y=22$

$y=22-x$ ----------------(3)

put y value in equation 2.

$0.75x+0.4(22-x)=11.95$

$0.75x+0.4\times 22-0.4x=11.95$

$0.75x+8.8-0.4x=11.95$

$0.75x-0.4x=11.95-8.8$

$0.35x=3.15$

$x=\frac{3.15}{0.35}$

$x=9$

Now substitute x value in equation 3.

$y=22-9$

$y=13$

So, he buy 13 pencils.

5 0

3 years ago

1. Oblicz:

dem82 [27]

Step-by-step explanation:

1. Oblicz:

a) Liczbę o 15% mniejszą od 60

b) Liczbę, której 15% stanowi 60

c) Jakim procentem 60 jest 15

d) O ile %większa jest 60 od 15

2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?

3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?

4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

5 0

2 years ago

Plz help and thanks so much for it

kirza4 [7]

B+c+(c-b)+(b-c). That is your expression. b 11 c 16

First, let's convert the variables to real numbers: 11+16+(16-11)+(11-16)
Now, let's solve that equation. 11+16+5+(-5)
5+(-5) cancels out, so all we have left is: 27
That is your perimeter.

7 0

3 years ago

Lines f and g are perpendicular. The equation of line f is y = 1/4x + 2. What is

umka2103 [35]

Answer:

y = -4x + (any number)

Step-by-step explanation:

you want to use the negative reciprocal of the slope for line f

so m = -4, since you didn't say any points it has to go through then the

equation of the line is y = -4x + (any number)

8 0

3 years ago

Ted and Meg have each drawn a line on the scatter plot shown below:

expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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8 0

3 years ago

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