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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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Which answers are examples of deductive reasoning?
Mariulka [41]

Answer:

The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

Step-by-step explanation:

Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.

Here we can see that in first case:

The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.

Case 2:

The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.

So only these two examples are based on deductive reasoning.

3 0
3 years ago
Read 2 more answers
A mother gives birth to a 9 pound baby. every 4 months, the baby gained 2 pounds. if x is the age of the baby in months, then y
chubhunter [2.5K]
For the equation of the line of the form y = mx + b, m is the slope of the line and b is the y-intercept which is the value of y when x is equal to zero. The slope is the rate of change of y per change in x. "y" would represent the dependent variable which is the weight of the baby while "x" represents the independent variable which is the number of months or the age of the baby in months. We calculate the slope as follows:

slope = (11 - 9) / ( 4 - 0) = 2/4 = 0.5
at x = 0, it is said that the weight of the baby is 9 lbs so the value of b would be 9.

The equation of the line would be y = 0.5x + 9
6 0
4 years ago
What is the mean for the following set of data?<br> 2,5, 7, 8, 11, 11, 12<br> 10<br> 11<br> 8
Yuri [45]
Add up all the numbers & divide by the number of numbers. That should give you the mean.
4 0
3 years ago
Read 2 more answers
A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded
stich3 [128]

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75%  semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

A=P(1+\frac{r}{n\times 100})^{nt}

Where n=2

Using the formula

6700=3000(1+\frac{6.75}{200})^{2t}

\frac{6700}{3000}=(1..03375)^{2t}

2.233=(1.03375)^{2t}

Taking ln on both sides we get

ln(2.233)=2t ln(1.03375)

2t=\frac{ln(2.233)}{ln(1.03375)}

t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}

t=12.1 years

8 0
3 years ago
Which expression is equivalent to the given expression?
Romashka [77]

Step-by-step explanation:

3x-21+4x²-8x+36

4x²-5×+15

3 0
3 years ago
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