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ludmilkaskok [199]

4 years ago

11

A sixth- grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than

grading 36 homework assignments in 30 minutes?
( comparing rates)

1 answer:

Akimi4 [234]4 years ago

5 0

Answer:

faster

Step-by-step explanation:

25 in 20 minutes is 25/20 = 1.25 per minute

36 in 30 minutes is 36/30 = 1.20 per minute

The first rate is faster.

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Express the ratio in its simplest form 1\4:1\8:1\16

HACTEHA [7]

Answer:

4 : 2: 1

Step-by-step explanation:

$\frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1$

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3 years ago

Ava earns $ 3 for every cup of lemonade she sells How many cups of lemonade does Ava need to sell in all to earn $ 24?

STatiana [176]

Answer:

Ava needs to sell 8 cups of lemonade to earn $24.

Step-by-step explanation:

This is actually just a simple multiplication question. How many times do we need to multiply 3 to get 24? 3 x 8 is 24, and therefore we can conclude Ava needs to sell 8 cups of lemonade to earn $24.

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3 years ago

If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle

melamori03 [73]

Let's assume they meant C=40 degrees. With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

$AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C$

$AB^2 = AC^2 + BC^2 - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ$

$AB = \sqrt{ 169 - 120 \cos 40 ^\circ} \approx 8.77921789$

The area is $\frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628$

The circumradius is $r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) } = 6.829019329$

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4 years ago

What is the surface area of the figure?

Vera_Pavlovna [14]

B is the answer I think.Please make me brainlist answer!

7 0

3 years ago

A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y). *

mina [271]

Answer:

(0, 8).

Step-by-step explanation:

The y intercept occurs when = 0, so we have the equation:

y = -3(0) + 8

y = 0 + 8

y = 8.

The answer is (0, 8).

6 0

4 years ago