Washington is 44 miles south of Lawrence. and midland is 63 miles east of Lawrence. how far apart are Washington and midland?

A summer camp cookout is planned for the campers and their families. There is room for 450 people. Each adult costs $7, and each

Tanya [424]

Answer:

$\left\{\begin{array}{l}x+y\le 450\\7x+4y\le 1,150\end{array}\right.$

Step-by-step explanation:

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

$\left\{\begin{array}{l}x+y\le 450\\7x+4y\le 1,150\end{array}\right.$

3 0

2 years ago

In a relay race, each runner completes the circuit 9 seconds faster than the previous one. If the first athlete runs his lap in

Alona [7]

Answer:

31 minutes

Step-by-step explanation:

Here, we have 8 competitors with the previous runner outrunning the present by 9 seconds

1st runner time = 4 minutes 37 seconds

2nd runner time = 4 minutes 37 seconds - 9 seconds = 4 minutes 28 seconds

3rd runner time = 4 minutes 28 seconds - 9 seconds = 4 minutes 19 seconds

4th runner time = 4 minutes 19 seconds - 9 seconds = 4 minutes 10 seconds

5th runner time = 4 minutes 10 seconds - 9 seconds = 4 minutes 1 second

6th runner time s= 4 minutes 1 second - 9 seconds = 3 minutes 52 seconds

7th runner time = 3 minutes 52 seconds - 9 seconds = 3 minutes 43 seconds

8th runner time = 3 minutes 43 seconds - 9 seconds = 3 minutes 34 seconds

The total time is the addition of all the times

For clarity sake, we shall be adding all the minutes together and all the seconds together;

That will be ;

(4 * 6) + 3 minutes + ( 34 + 43 + 52 + 1 + 10 + 19 + 28 + 37)

= 27 minutes + 224 seconds

We need to convert 224 seconds to minutes

Since 60 seconds make one minute; we have

224 - 60(3) = 3 minutes and 44 seconds

Let’s add this to the minutes we had before

That would be;

27 minutes + 3 minutes + 44 seconds

= 30 minutes 44 seconds

since 44 seconds is greater than 1/2 minute (30 seconds), we can approximate it to 1 minute

So the total time is 30 minutes + 1 minute = 31 minutes

8 0

2 years ago

A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25

Reil [10]

Answer:

Step-by-step explanation:

A = 25% of 16 = $=\frac{25}{100}*8=\frac{1}{4}*8=2$

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

$=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}$

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

$=\frac{25}{100}*10.5=\frac{10.5}{4}$

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0

2 years ago

Read 2 more answers

comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or

ella [17]

Let a set of $n$ elements.
We can find $n!$ (factorial) of the $n$ element.
However, combination of the element lead to less than $n!$ possibilities.
(combining like adding or multiplying)
So the proposition is false.

6 0

2 years ago

Read 2 more answers

Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p

dimulka [17.4K]

Answer:

$P(X$ $0.9619$

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

$P(X$ $\sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}$

$P(X$ $0.9619$

8 0

2 years ago