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MakcuM [25]
3 years ago
9

Doug drives without backtracking from his apartment to a campsite in another state. After two hours, he is halfway to his destin

ation. After four hours, he is two thirds of the way there. Which of the following could represent the fraction of his travel distance he has covered after three hours?
a) 2/5
b) 3/5
c) 3/4
d) 4/5
Mathematics
1 answer:
ki77a [65]3 years ago
6 0
For this item, after two hours, he is able to cover 0.5 of the distance and after four hours, he is able to 0.67 of the distance. The fraction of the distance he is able to cover after 3 hours should be greater than 0.5 but lesser than 0.67. Thus, the answer to this item is letter B which is equal to 0.6. 
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At the local grocer, the prices for apples are the following: 9 ounces for $1.89 or 1 pound for $2.49. How much will you save pe
Trava [24]

Answer: Option 'A' is correct.

Explanation:

Cost of  9 ounces of apples = $1.89

Cost of 1 ounce of apple is given by

\frac{1.89}{9}=\$0.21

Now, if he bought 1 pound of apple,

Cost of 1 pound of apple = $2.49

Cost of 16 ounces = $2.49

(∵ 1 pound = 16 ounces)

Cost of 1 ounce of apple is given by

\frac{2.49}{16}=\$0.156

So, Second option is the least expensive if he bought 1 pound of apple for $2.49

Then, he will save which is given by

0.21-0.156=0.054\times 16=$0.87\ per pound

Hence, option 'A' is correct.

7 0
3 years ago
Read 2 more answers
About 16% of people who get their feet examined are found to have athlete's foot. What is the probability of a podiatrist examin
Olin [163]

Answer:

Step-by-step explanation:

(84/100)^4(16/100)

(0.84)^4(0.16)^1

8 0
3 years ago
I don't know if it's the right answer
Komok [63]
They are the same value
4 0
3 years ago
Given square ABCD, with point P on side AB , point Q on side BC, point R on side CD, and point S on side DA as shown. Additional
sveta [45]

The ratio of the area of square PQRS to the area of square ABCD is 5/9

<h3>Area of square ABCD</h3>

Assume the measure of the side lengths of the square ABCD is 1, then the area of the square ABCD is:

A_1 = 1 \times 1

A_1 = 1

See attachment for the diagram that represents the relationship between both squares.

<h3 /><h3>Pythagoras theorem</h3>

The measure of length PQ is then calculated using the following Pythagoras theorem:

PQ^2 = (\frac 13)^2 + (\frac 23)^2

Evaluate the squares

PQ^2 =\frac 19 + \frac 49

Add the fractions

PQ^2 =\frac 59

<h3>Area of square PQRS</h3>

The above represents the area of the square PQRS.

i.e.

A_2 =\frac 59

So, the ratio of the area of PQRS to ABCD is:

Ratio = \frac{A_2}{A_1}

This gives

Ratio = \frac{5/9}{1}

Ratio = \frac{5}{9}

Hence, the ratio of the area of square PQRS to the area of square ABCD is 5/9

Read more about areas at:

brainly.com/question/813881

8 0
2 years ago
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how ma
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60/6=10
10*3=30
30 days. Hope this helps :)
5 0
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