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swat32
2 years ago
14

marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type pe

r hour? Round to the nearest hundredth.
Mathematics
2 answers:
Andrew [12]2 years ago
6 0

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

KATRIN_1 [288]2 years ago
5 0

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

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Is 7 a solution of 5x - 3 = 12?
V125BC [204]

Answer:

no

Step-by-step explanation:

5x - 3 = 12

5x=12+3

x=15/5=3

x=3

substitute x with 7 to find if it is a solution :

5(7)-3=12

35-3 ≠12 ( so no 7 is not a solution)

3 0
3 years ago
A composite figure is shown.
VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

  • For the cube

Surface area of a cube is given by

S = 6l^{2}

Where l is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = 5l^{2}

From the given information,

l = 6 \ feet

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

  • For the square prism

The surface area of a square prism is given by the formula,

S = 2l^{2} + 4lh

Where l is the length of the sides and

h is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = 2l^{2} + 4lh -  2l^{2}

Surface area of the square prism in the figure = 4lh

From the given information,

l = 6 \ feet

h = 20 \ feet

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

  • For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }

Where l is the base length

and h is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }\  - ( l^{2})

Surface area of the pyramid part of the figure = 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }

From the given information,

l = 6 \ feet

h = 4 \ feet

∴ Surface area of the pyramid part of the figure = 2(6)\sqrt{\frac{6^{2} }{4}+4^{2}  }

= 12\sqrt{\frac{36 }{4}+16}

= 12\sqrt{9+16 }

= 12\sqrt{25}

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0
2 years ago
The price for 7 lb of potatoes is $5 what is the price per pound.​
Thepotemich [5.8K]

Answer:

The answer is $1.4.

6 0
2 years ago
Two skaters are racing toward the finish line of a race. The first skater has a 40 m lead and is traveling at a rate of 12 m/s.
ivanzaharov [21]
The second skater wont pass him, he is ahead and they are going the same speed
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3 years ago
What is the value of (-7 + 31) – (2 - 6/)?​
makkiz [27]

Answer:

28

Step-by-step explanation:

8 0
3 years ago
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