Aaron gives an estimate of 2 for the quotient in a division problem his teacher says his estimate is reasonable if the divisor is 4 which number could be the dividend in Aaron's problem help pleaseeee

Answers

Answer 1

Answer: B because it's the closest to 8

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Add the fractions and simplify the answer: 1/2 + 2/3

Answers

The simplification of the fraction would be; 7/6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

Therefore, first convert the denominator (bottom n umber) to the same number.

1/2 and 2/3 then the numbers are 2 and 3

the least common multiple is 6

To convert is multiply each by bottom number of the other over the other;

1/2 +2/3

1/2 x 3/3 + 2/3 x 2/2

3/6 + 4/6

(7)/6

7/6

Hence, the simplification of the fraction would be; 7/6.

Learn more about fraction;

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In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answers

the main formula is

sector area = n / 360° x Pi r²

4 = n / 360 x r² = n° / 36,

144° = n

Answer:

The degree measure of the arc of the sector is $45.85 degrees\n$

Step-by-step explanation:

The area of a sector is given by

$(n)/(360) \pi r^(2)\n$

Substituting the values in above equation, we get

$40 = (n)/(360) (3.14)10^2\nn = 45.85\n$

Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

Answers

There are some extra mathematical rules on an inequality, for example, when you multiply or divide both sides by a negative number the direction of the inequality must be switched. > to < or < to >, etc. Another difference is that in a linear equation you get a number as the result, in an inequality, you get an interval of numbers.

5/12 expressed as a decimal fraction is? (Round to the nearest thousandths)

Answers

The required decimal fraction is 0.417.

Given that,
To express 5/12 as a decimal fraction.

What is a recurring decimal?

A recurring Decimal is described as also called repeating decimal, which is a decimal digit that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole.

Here,
Given fraction = 5 / 12
= 0.4166667
Round to thousand
= 0.417

Thus, the required decimal fraction is 0.417.

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5/12 expressed as a fraction is 0.42

adela rode her bicycle 18.3 miles in 5 hours. which gives the best estamate of how far adela rode in 1 hour

Answers

Answer:

Adela rode 1 hour = 3.66 miles.

Step-by-step explanation:

Given : Adela rode her bicycle 18.3 miles in 5 hours.

To find : Which gives the best estimate of how far Adela rode in 1 hour.

Solution : We have given

Adela rode 5 hour = 18 .3 miles .

Adela rode 1 hour = $(18.3)/(5)$ .

Adela rode 1 hour = 3.66 miles.

Therefore, Adela rode 1 hour = 3.66 miles.

I think it is about 4 miles in one hour. But the exact answer is 3.66 miles in one hour. To get , I answer I divided 18.3 by 5 hours and got 3.66 which then rounded to 4. I hope this helped u!

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5.

Answers

Hello,

1) 2x-3<x+2 ==>x<5

2) x+2<=3x+5==>-2x<=3==>x>=-3/2

Thus : -3/2<=x<3

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