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Nata [24]
3 years ago
12

Rewrite 2/20 : 1/40 as a unit rate

Mathematics
2 answers:
Valentin [98]3 years ago
5 0

Answer:

\frac{4}{1}

Step-by-step explanation:

<u>Given:</u>

2/20 : 1/40

A). First re-write the ratio as follows;

(i) Change the ratio sign to division (÷). i.e

2/20 ÷ 1/40

(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)

(2/20) × (40 / 1) = \frac{2}{20} × \frac{40}{1} = \frac{4}{1}

B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.

So to convert   \frac{4}{1}  to unit rate, we keep simplifying until the denominator becomes 1.

And since the denominator is already 1, there is no need for further simplification.

Therefore, 2/20 : 1/40 to unit rate is  \frac{4}{1}

KatRina [158]3 years ago
3 0

Answer:4/1

Step-by-step explanation:

I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.

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A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Yuki888 [10]

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

5 0
3 years ago
Help me plsssssss????
mixer [17]

Answer:

CBD is 120 degrees

Step-by-step explanation:

x=30

4x30+30+30=180

7 0
3 years ago
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What is the difference between proportional and nonproportional relationships?​
IceJOKER [234]

Answer:

If two quantities are proportional, then they have a constant ratio. If the ratio is not constant, the two quantities are said to be non-proportional.

3 0
3 years ago
Help and explain thanks!
katen-ka-za [31]

Answer:

120 cm

Step-by-step explanation:

One way to tackle this is by getting another sheet of paper and drawing it out, then counting up the total of the sides. If you draw it, you can see that you're dealing with a rectangle; two sides of length 12 and two sides of length 8. If you don't like drawing or don't want to in this case, another way to get the answer is by knowing one vertex is at (0, 0), so the next vertex (0, 8), would create a side that's exactly 8 units long. Kind of the same, you know from (0, 0), you also have a point (12, 0), so drawing that would create a side that's 12 units long. All in all, to get the perimeter in units, you have 12 + 12 + 8 + 8 = 40.

The problem says it wants the amount of wood in centimeters needed for the perimeter. What we just found was the perimeter in generic units, so if the problem says every "grid square", or unit, is 3 centimeters long, then all you have to do is take our result 40 and multiply it by 3 to get the number of centimeters. Your perimeter in centimeters would be 120 cm.

7 0
3 years ago
What is the slope of a trend line that passes through the points (–3, 3) and (18, 26)?
ipn [44]

Answer:

slope = \frac{23}{21}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (18, 26)

m = \frac{26-3}{18+3} = \frac{23}{21}

7 0
3 years ago
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