Use compatible numbers to estimate the quotient. 486/6

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

The answer is 81. You just have to do the division in the traditional way.

You might be interested in

A recipe uses 1 ¼ cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can b

suter [353]

Answer:

128 is your answer.

Step-by-step explanation:

1 gallon of milk will make 128 servings.

100% Correct hope this helps ツ

8 0

3 years ago

Read 2 more answers

Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

(change in y) / (change in x) = 4/2 = 2 = slope of line.

so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

Thank you,

MrB

6 0

2 years ago

What is the simplest form of the expression below?

sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

$\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }$

Now:

$\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta} }\\=cot\theta cot\theta X tan\theta$ (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta$