All categories

3 years ago

Ann walks 7/8 mile in 1/4 hour. Find the unit rate in miles per hour

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

Answer:

The correct answer in MPH (miles per hour) would be 3.5 or 3 1/2 MPH.

Step-by-step explanation:

7/8 = 0.875

1/4 = 0.25

This is a fraction equal to 0.875 miles ÷ 0.25 hours.

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 0.25.

0.875 miles ÷ 0.25/ 0.25 hours ÷ 0.25

= 3.5 miles/1 hour

= 3.5 miles/ hour

3.5 = 3 1/2

= 3 1/2 miles per hour

Hope this helps!

You might be interested in

Add the two expressions.<br> 32 – 4 and 2z + 5<br><br><br> Pls help quick!

alexgriva [62]

Answer:

2z + 33

Step-by-step explanation:

Add like terms like below:

(32 - 4) + (2z + 5) = 28 + 2z + 5

Combine like terms again:

(28 + 5) + 2z = 33 + 2z or 2z + 33

7 0

2 years ago

Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the

schepotkina [342]

Answer:

a) 0.03

b) 0.68

c) 0.32

Step-by-step explanation:

We are given the following in the question:

B: companies in the area of biotechnology

I: companies in the area of information technology

P(B) = 0.2

P(I) = 0.15

The two events are given to be independent.

a) P(both companies become profitable)

$P(B\cap I) = P(B)\times P(I)\\= 0.2\times 0.15 = 0.03$

0.03 is the probability that both companies become profitable

b) P(neither company becomes profitable)

$P(B'\cap I')\\=P(B')\times P(I')\\=(1-P(B))(1-P(I))\\=(1-0.2)(1-0.15)\\=0.68$

0.68 is the probability that neither company becomes profitable.

c) P(at least one of the two companies become profitable)

$P(B\cup I) = P(B) + P(I) - P(B\cap I)\\= 0.2 + 0.15 - 0.03\\=0.32$

0.32 is the probability that at least one of the two companies become profitable

4 0

2 years ago

4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st

alexandr402 [8]

Answer:

$c(t)=-18t+212$ .

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation $c(t)=my+b$ , where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

$m=\frac{140-50}{4-9}$

$m=\frac{90}{-5}$

$m=-18$

Now, we will use point-slope form of equation $y-y_1=m(x-x_1)$ and substitute $m=-18$ and coordinates of point (9,50) as:

$y-50=-18(x-9)$

$y-50=-18x+162$

$y-50+50=-18x+162+50$

$y=-18x+212$

Therefore, our required equation would be $c(t)=-18t+212$ .

5 0

3 years ago

g Exercise 6. Let X be a Gaussian random variable with X ∼ N (0, σ2 ) and let U be a Bernoulli random variable with U ∼ Bern(?)

stiv31 [10]

Answer:

Step-by-step explanation

question solved below

4 0

2 years ago

Seclate all the numbers that are solutions to the inequalitt w>1.

natima [27]

Answer:

The numbers should be A. 5 and C. 0.

Hope I Helped

6 0

2 years ago

Read 2 more answers