The ratio of Met fans to Yankee fans is 3 to 5. if there are 20 Yankee fans, how many Met fans are there?

At the beginning of a basketball season, the panthers won 20 games out of 50 games. At this rate, how many games will they win i

Anton [14]

Answer:

They will win 48 games in a 120 game season.

Step-by-step explanation:

The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120. x is the amount of games won in the 120 game season.

Set up the ratios like this:

$\frac{20}{50}$ = $\frac{x}{120}$

cross multiply the numerators and denominators to get this:

20*120 = 50x

solve for x:

2,400 = 50x

x = 48

8 0

3 years ago

Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need

Alekssandra [29.7K]

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

Dimensions of Shed

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

Solution

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

Total Area = Wall Area+Ceiling Area =102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

Note: Converted Square foot to square yard as the problem requires that.

8 0

3 years ago

The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy

melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

$P=2(x+y)$

we have

$P=48\ cm$

so

$48=2(x+y)$ ------> equation A

$x=2y+6$ ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

4 0

3 years ago

Okay so What is 4/10 x 1/6?

Stella [2.4K]

4/10 × 1/6 = 2/30
You can cross cancel 4 and six...then multiply 2/10 × 1/3 which equals 2/30
If you want you can simplify 2/30 to 1/15

6 0

3 years ago

Read 2 more answers

Find the EXACT circumference and area of a circle that has a radius of 6 cm. (use pi for )

irina [24]

Circumference of circle = 2 pi r
= 2 x 3.14 x 6
= 6.28 x 6
= 37.68 cm

Area of circle = pi r^2
= 3.14 x 6^2
= 3.14 x 36
= 113.04 cm^2

5 0

3 years ago