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Tpy6a [65]
3 years ago
14

Ten pictures, each measuring 4 inches by 6 inches, are mounted on a piece of green poster board so that there is no overlap. The

poster board measures 20 inches by 17 inches. All the shapes are rectangular. How many square inches of the green background will show after the pictures are mounted
Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0

Answer:

100 square inches

Step-by-step explanation:

Dimension of each of the ten pictures= 4 inches by 6 inches

Area of one of the pictures=4*6=24 Square Inch.

Total Area of the 10 pictures=24*10=240 Square Inches.

Dimension of the Poster Board=20 inches by 17 inches.

Area of the Poster Board=20*17=340 Square Inches.

Area not covered by the pictures=340-240=100 Square Inches

Therefore, 100 square inches of the green background will show after the pictures are mounted.

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A hose is leaking water at a rate of 2 oz/h. How many cups of water will leak out after 2 weeks?
Over [174]

Answer:

84 cups of water will leak out after 2 weeks

Step-by-step explanation:

* Lets how many how to change oz to cup

- One cup contains 8 oz

- We can use the ratio to solve this problem

- A hose is leaking water at a rate of 2 oz/h

- We need to find how many cups of water will leak out after 2 weeks

∵ The rate of the water leak out is 2 oz/hr

∵ 1 cup contains 8 oz

∴ 1 oz = \frac{1}{8} cup

∴ 2 oz = 2 × \frac{1}{8} = \frac{2}{8} = \frac{1}{4} cup

∴ The rate of the water leak out = \frac{1}{4} cup/h

∵ 1 day = 24 hours

∵ 1 week = 7 days

∴ 1 week = 7 × 24 = 168 hours

∵ The number of hours in 1 week is 168

∴ The number of hours in 2 weeks = 168 × 2 = 336 hours

⇒    cups    :    hours

⇒      \frac{1}{4}         :   1

⇒     x         :    336

- By using cross multiplication

∴ x = 336 × \frac{1}{4}

∴ x = 84

- x represents the number of cups of water leak out

<em>84 cups of water will leak out after 2 weeks</em>

5 0
4 years ago
Whats the answer to 2c + 9 = 27
Inessa05 [86]

Ans

c=9

Step-by-step explanation:

2 x 9 = 18 +9 = 27

7 0
3 years ago
Read 2 more answers
You are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 secon
AnnyKZ [126]

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

Learn more here: brainly.com/question/17003809

4 0
3 years ago
Maria is making a stained glass window in the form of a kite. the width of the window must be 15 in., and she only has enough st
NeTakaya
Kite Area = (Diagonal 1 * Diagonal 2) / 2
Diagonal 2 = 2 * Kite Area / Diagonal 1
Diagonal 2 =2 * 60 / 15
Diagonal 2 = 120 / 15
Height = 8 inches


4 0
3 years ago
How would I solve y-8+3(y+4)
konstantin123 [22]

Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

6 0
3 years ago
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