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liq [111]
3 years ago
14

A class of 260 students went on a field trip. They took 12 vehicles, some cars and some buses. Find the number of cars and the n

umber of buses they took if each car holds 5 students and each bus holds 25 students. Let c= cars and b= buses.
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.
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A rectangular cooler made of MycoFoam is 13 inches wide, 7 inches tall, and 7 inches long. what is its surface area?
yarga [219]
To find area u have to multiply the sides so it should be 7x7 or 13x7 it shouldnt be 13x7x7
6 0
3 years ago
An insurance company issues life insurance policies in three separate categories: standard,preferred,and ultra- preferred. Of th
slega [8]

Answer:

a) 0.0002

b) 0.0057

c) 0.0364

Step-by-step explanation:

Lets start by stating the probabilities of a person belonging to each policy:

Standard: 0.3

Preferred: 0.5

Ultra- Preferred: 0.2

The probability of person belonging to each policy AND dying in the next year:

Standard: 0.3 x 0.015 = 0.0045

Preferred: 0.5 x 0.002 = 0.001

Ultra- Preferred: 0.2 x 0.001 = 0.0002

a) The probability a ultra - preferred policy holder dies in the next year is 0.001. To find the probability of a person being both a ultra - preferred policy holder AND die in the next year is: 0.001 x 0.2= 0.0002

b)  The probability is given by adding the probabilities calculated before :

0.0045 + 0.001 + 0.0002 = 0.0057

c) We use the results above again. This is 0.0002 / (0.001 + 0.0045). The answer comes out to be 0.0364

6 0
3 years ago
Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0
3 years ago
Read 2 more answers
Mr.Martinez rents a car for one day.The charge is $36 plus $0.18 per mile.Mr.Martinez has a budget $60.How many miles can he dri
kondor19780726 [428]
1... the wording is a little confusing.
Is the charge $0.18 per mile or is it actually $36.18 per mile?
8 0
3 years ago
One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is
ioda

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

Area=\dfrac{1}{2}\times Base\times Height

The area of a right triangle is

Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)

Let x be the length of other leg.

225=\dfrac{1}{2}\times (9)\times (x)

2\times 225=9x

\dfrac{450}{9}=x

50=x

Therefore, the length of the other leg is 50 cm.

4 0
3 years ago
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