MATHEMATICS MIDDLE SCHOOL

The length of a rectangle is 9 inches more than twice it’s width. If the perimeter of the rectangle is 48 inches find its length and width.

Answers

Answer 1

Answer:

Answer:

$Length=19 inches\n\nWidth=5 inches$

Step-by-step explanation:

Let the width of the rectangle be 'w' inches

length of the rectangle= (2w+9) inches

Perimeter of the rectangle= 48 inches

Perimeter of a rectangle= 2(Length+Width)

$48=2((2w+9)+w)\n\n48=2(2w+9+w)\n\n48=2(3w+9)\n\n48/2=3w+9\n\n24=3w+9\n\n3w=24-9\n\n3w=15\n\nw=15/3\n\nw=5 inches$

$Width= 5 inches$

$Length=(2w+9)=2(5)+9=19 inches$

$Length=19 inches\n\nWidth=5 inches$

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1. If 1 cm represents 10 m, what are the actual measurements of the gym includingthe closet?
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?

Answers

Answer:

1. 50 meters by 40 meters

2. 20 meters by 10 meters

3. 60 meters by 48 meters

4. DrawingGym Area = 18 sq. cm. and Actual Gym Area = 2592 sq. m.

Step-by-step explanation:

The drawing length of the GYM+CLOSET area is:

5 cm by 4 cm

Since 1 cm represents 10 m in real life, we can say the real life dimensions are:

5cm * 10 = 50 meters

4 cm * 10 = 40 meters

THe actual measurements of gym (including closet):

50 meters by 40 meters

The drawing measurement of the closet would be:

2 cm length given and 1 cm width given

Since we know 1 cm represents 10 meters in real life, the actual measurements would be:

1cm * 10 = 10 meters

2 cm * 10 = 20 meters

The actual dimensions of closet:

20 meters by 10 meters

Gym + Closet area is still 5cm by 4cm in the drawing.

Now, the scale changes. The new scale is:

1cm = 12 meters

So,

5cm * 12 = 60 meters

4 cm * 12 = 48 meters

The actual measurement of Gym and Closet (new scale):

60 meters by 48 meters

First, let find the area of the gym. This will be total area - closet area

We know area of rectangular figure is Length * Width

SO,

Total Area = 5 * 4 = 20

Closet Area = 2 * 1 = 2

Thus,

Gym Area = 20 - 2 = 18

Gym Area = 18 sq. cm.

In real life (1cm = 12 m -- new scale), Gym Area would be:

Gym Area = $18cm^2*(12m)/(1cm)*(12m)/(1cm)=18*12*12m^2=2592m^2$

Actual Gym Area = 2592 sq. m.

What is the remainder of 89 divided by 8?

Answers

The answer is 12.25 so the remainder is 25

it would be 11.125

8/89

8 goes in 8 once and leaves 09. 8 goes in once to 9 and leaves 1 then add the zero to make it 10. 8 goes in 10 1 time making it 2. with the zero brought down itll be 20 and 8 goes in 20 2 times leaving 4. bring the 0 down making it 40 and 8 goes in 40 5 times and leaves nothing.

Find two ways to determine the number of dimes in $8.70

Answers

Both approaches yield the same result, so there are 87 dimes in $8.70.

To determine the number of dimes in $8.70, we can use two different approaches:

Approach 1: Division

1 dime = $0.10

To find the number of dimes, divide the total amount by the value of one dime:

Number of dimes = $8.70 / $0.10

Number of dimes = 87 dimes

Approach 2: Counting by 10 cent

$8.70 is equivalent to 870 cents (since 1 dollar = 100 cents).

Since each dime is worth 10 cents, we can find the number of dimes by dividing the total cents by 10:

Number of dimes = 870 cents / 10 cents

Number of dimes = 87 dimes

Both approaches yield the same result, so there are 87 dimes in $8.70.

To know more about dimes:

brainly.com/question/31999698

#SPJ2

It takes 10 dimes to make a dollar so multiply 10 x 8 that will = 80. It also takes 7 dimes to make .70 cents so the answer is is 87 dimes to make $8.70

Estimate a 15% on a dinner bill of $87.21. By first rounding the bill amount to the nearest ten.

Answers

87.21 rounded to the nearest 10 would be $90

tip = 90 x 0.15 = $13.50

The answer would be 69.13... and btw because this is money I rounded to the nearest hundreth:)

2 pounds of potatoes are taken out of the bag what weight does the scale show now

Answers

you should aske them together in 1 quesiton (I am assuming the scale had 5 pounds before)

so 5-2=3 pounds
to ounces=3 times 16 since 16 oz pper ppound

3 times 16=48 oz

We can't tell how much it weighs we need more info about the question

Dion has a pizza with a diameter of 10 1/3 in . Is the square box shown big enough to fit the pizza inside? The box is 10.38 in wide and the pizza is 10 1/3 inches wide Will give brainly :-)

Answers

The pizza box is wide enough to rest the pizza in it.

What is geometry?

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects. 2D Geometric shapes. flat forms. The square is a two-dimensional shape having all the sides equal to each other.

Given that the box is 10.38 in wide and the pizza is 10 ( 1/3 ) inches wide. The shape will be analyzed as below:-

Diameter of pizza = 10 ( 1 / 3 ) = 10.333 inches

The width of the box = 10.38 inches

Difference = 10.38 - 10.33 = 0.05 inches gap

Therefore, the square box showed big enough to fit the pizza inside.

To know more about geometry follow

brainly.com/question/19241268

#SPJ2

yes, the box is wide enough because 10 1/3 is 10.33 repeating and the box is 10.38 (.05 inches wider than the pizza)

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