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3 years ago

What is the value of 4 1/2 - 2 3/4

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer: 1 3/4

Step-by-step explanation: First, convert 4 1/2 and 2 3/4 to have like denominators.

4 1/2 = 4 2/4 because 1 x 2 = 2 and 2 x 2 = 4 = 2/4

2 3/4 stays the same.

Now, subtract 4 2/4 - 2 3/4 (4 x 4 = 16 + 2 = 18) and (2 x 4 = 8 + 3 = 11)

18/4 - 11/4 = 7/4 or 1 3/4

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

18 8/9 - 9 1/6 show your work

Genrish500 [490]

Answer:

8 17/18 or 8.945

Step-by-step explanation:

2/2x165/9-55/6x3/3

326/18-165/18

161/18= 8 17/18

5 0

4 years ago

Evaluate the following expression:<br>p/-3 + (-8)= -8

aalyn [17]

P/-3+(-8)=-8
p/-3-8=-8
Add 8 to each side
p/-3-8+8=-8+8
p/-3=0
Multiply both side by 3
p/-3(3)=0(3)
p=0
Check:
p/-3+(-8)=-8
Substitute p with 0
0/-3+(-8)=-8
0-8=-8
-8=-8. As a result, p=0. Hope it help!

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3 years ago

A bank's electronic management system lacks the ability to protect a client's confidential information. To what type of risk doe

ankoles [38]

First one
market risk
:))
hope it helped
correct me if i’m wrong

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3 years ago

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What fraction is bigger 5/8 or 7/15

Zolol [24]

5/8=.625 and 7/15=.466 repeating so 5/8 is a bigger fraction

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3 years ago

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