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ElenaW [278]
3 years ago
8

Sarah rode her bike 2/1/2 miles in 1/6 of an hour. What is her unit rate in miles per hour?

Mathematics
2 answers:
Natalka [10]3 years ago
5 0

Answer:

15 miles

Convert all of the mixed fractions to improper fractions, and since this is unit rate, the denominator that'll be equivalent to the first fraction will be 1.

\frac{5}{2}/\frac{1}{6}  = x/ 1

1 x 5/2 is 5/2

5/2 divided by 1/6 is 30/2 = 15

<em>Hope it helps!</em>

larisa [96]3 years ago
3 0
15 miles per hour is the answer because 2/1/2 divided by 1/6 is 15
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Natasha_Volkova [10]

We can start by getting rid of parenthesis:

4x-3x+6=21

Then we can combine like terms:

x=21-6

x=15

So our end product is x=15.

Hope I helped soz if I'm wrong ouo.

~Potato.

Copyright Potato 2019.

4 0
3 years ago
Is 3π/9 irrational or rational​
iren2701 [21]

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

6 0
2 years ago
A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,
vovangra [49]

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

5 0
3 years ago
If f(x)=6x^2-4 what is f(-1)
Nana76 [90]

Answer:

2

Step-by-step explanation:

3 0
2 years ago
Solve the following equation for x: 5x + 3y = 15.
zepelin [54]

Answer:

B) x = (-3/5)y + 3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

first, subtract 3y from btoh sides:

5x + 3y (-3y) = 15 (-3y)

5x = -3y + 15

Next, divide 5 from both sides:

(5x)/5 = (-3y +15)/5

x = (-3/5)y + 3

B) x = (-3/5)y + 3 is your answer.

~

8 0
3 years ago
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