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Liula [17]
2 years ago
13

Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Wh

ich answer is reasonable?
72.013678 in
75.398223 in
85.335372 in
80.332161 in
Mathematics
1 answer:
pshichka [43]2 years ago
7 0

Answer:

75.398223

Step-by-step explanation:

Circumference Formula: 2πr or dπ ⇒ r=radius and d=diamater

1.) π≈3.14

2.) 24×3.14=75.36

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
2 years ago
La oración 3+ (5 + 2) = (5 + 2) +3 muestra qué propiedad?
Flauer [41]

The expression represents commutative property of addition

Hope this helps

-AaronWiseIsBae

4 0
3 years ago
What is equivalent to
Alenkinab [10]

Answer:

1 : equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Maddie swims the hundred meter freestyle in 30 seconds what is her average speed in meters per minute​
Naily [24]
Answer: 200 meters per minute

Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes.

Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:

100 meters/ .5 minutes = x meters / 1 minute

we cross multiply to get 100 = .5x

then, we simplify by dividing each side by .5 which equals

200=x
3 0
2 years ago
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
3 years ago
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