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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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Factor completely 2x^2+4x-70
Fittoniya [83]

Answer: 2(x-5)(x+7) <---- this is your answer

Step-by-step explanation:

(2x^2+4x-70)

2((x-5)(x+7))

(-1,-72)

(-1, -\frac{575}{8} )

x=-1

y=-\frac{577}{8}

Factor the polynomial completely.

Group and factor out the greatest common factor (GCF), then combine.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

So the answer is 2(x-5)(x+7)

Hope this helps out :)

4 0
2 years ago
The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in
nikklg [1K]
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
 -4.92t ^ 2 + 17.69t + 575 = 0
 We look for the roots:
 t1 = -9.16
 t2 = 12.76
 We are left with the positive root, so the domain is:
 [0, 12.76]

 For the range we have:
 We derive the function:
 h '(t) = - 9.84t + 17.69
 We equal zero and clear t:
 -9.84t + 17.69 = 0
 t = 17.69 / 9.84
 t = 1.80
 We evaluate the time in which it reaches the maximum height in the function:
 h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
 h (1.80) = 590.90
 Therefore, the range is given by:
 [0, 590.9]

 Answer:
 the domain and range are:
 
domain: [0, 12.76] range: [0, 590.9]
5 0
3 years ago
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What is the square root of 5?
shutvik [7]
5 x 5 = 25

answer: 25.
7 0
3 years ago
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Is this equation a true statement when x = 6?<br>-2 + 11 - 5x = 5 -6x​
iris [78.8K]

Answer:

False

Step-by-step explanation:

Since we already know the value of x lets plug it in and multiply it

-2+11-5(6)=5-6(6)

-2+11-30=5-36

Now lets put them together

9-30=5-36

-21 = -31

Making x=6 false

3 0
3 years ago
What is equivalent to -3(x-9)
ivolga24 [154]
-3(x-9)=-3\cdot x-3\cdot(-9)=-3x+27
6 0
3 years ago
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