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3 years ago

67 oz =-----lb-----oz

Mathematics

1 answer:

vazorg [7]3 years ago

3 0

For this case we must do a conversion:

We have to by definition:

1 ounce equals 0.0625 pounds

Making a rule of three we have:

1 oz ------------> 0.0625 lb

67 oz ----------> x

Where "x" represents the number of equivalent pounds:

$x = \frac {67 * 0.0625} {1}\\x = 4.1875$

Thus, 67 ounces equals 4.1875 pounds

Answer:

67 ounces equals 4.1875 pounds

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In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at

devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

$D = 10*9*8*7 = 5040$

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

$T = 10*10*10*10 = 10000$

Probability:

$p = \frac{D}{T} = \frac{5040}{10000} = 0.5040$

50.40% probability that all 4 are different.

5 0

3 years ago

The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0

3 years ago

In a race in which six automobiles are entered and there are not ties, in how many ways can the first four finishers come in?

elixir [45]

your answer would be
6 ways for 1st place
5 ways for 2nd place
4 ways for 3rd place
3 ways for fourth place
and in total there are 360 ways in total.
(6*5*4*3=360)

8 0

3 years ago

Divide 3x2 − 11x − 4 by x − 4

Nuetrik [128]

Answer:Factor by grouping.

Tap for more steps...

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Reduce the expression by cancelling the common factors.

Tap for more steps...

Step-by-step explanation:

6 0

3 years ago

8. The volume of the pyramid is 168 cubic inches. Find the length of the rectangular base. (3pts)7 inI8 in.

olya-2409 [2.1K]

The length of the rectangular base is 9in

<h3>How to determine the value</h3>

It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;

Volume = lwh/3

Where;

l is the length of the rectangular base of the pyramid
w is the width of the rectangular base of the pyramid
h is the height of the rectangular base of the pyramid

Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;

168 = l × 7 × 8/ 3

cross multiply

l × 7 × 8 = 168(3)

Find the product

56l = 504

To determine the length, divide both sides by 56, we get;

l = 504/ 56

l = 9In

Hence, the value is 9in

Learn more about volume here:

brainly.com/question/463363

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5 0

1 year ago