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3 years ago

Show how to use an area model to multiply 71×48

Mathematics

2 answers:

Kazeer [188]3 years ago

5 0

Answer:

3408

Step-by-step explanation:

just multiply both

Virty [35]3 years ago

5 0

Answer:

3408

Step-by-step explanation:

Here how you use an area model to get the answer.

Separate the long sides into (70+1) segments and the short sides into (40+8) segments.
Draw lines to connect the points on opposite sides. You will get four smaller rectangles with sides 70×40, 70×8, 40×1, and 8×1.
Multiply to find the areas of each small rectangle and write the products (2800, 560, 40, and 8) inside the corresponding rectangle.
Add the areas of the small rectangles to get the area of the large rectangle.

2800

+ 560

+ 40

+ 8

3408

71 × 48 = 3408

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2 years ago

An artist used a scale factor of 1 in=8 ft to create a model of a building. if the actual building has a height of 64 feet, how

nalin [4]

Answer:

Okay, so what I think you mean to ask what the scale factor between the model and actual building is, so i crunched the numbers. if 1 in equaled 8 feet and the actual thing was 64 ft, then we can just say that 64 divided by 12 is 5.3, so the model could be

5.3 ft. is the size of the model

BUT

you said how many feet are they apart so in inches its 705, in ft its 58.75

Step-by-step explanation:

a foot is 12 in.

64/12 is 5.3

64 ft is 768 inches, and 5.3 is 63.

768-63 = 705.

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8 0

2 years ago

A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

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7 0

3 years ago

What number is divisible by both 85 and 51

Vitek1552 [10]

17
85/17 is 5 and 51/17 is 3

7 0

3 years ago

Read 2 more answers

A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a

Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0

3 years ago