A line has a slope of m=12 and the point (-2, 8) lies on the line. What is the equation of the line?

Answers

Answer 1

Answer: You use the point slope formula to solve this.
Formula: y - y1 = m(x - x1)
m = 12
x1 = -2
y1 = 8
so...
y-8=12(x-(-2))
y-8=12(x+2)
y-8=12x+24
y=12x+32

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26,500 in scientific notation

Answers

It would be 2.6 x 104 for 26,500 in scientific notation.

2.65*10^4
First number is 1*10
Exponent is how many times you moved left

Neil had some olive oil. He used 1/5 liter to make a salad dressing. There was 1/2 liter of olive oil remaining in the bottle. What amount of olive oil did Neil have in the bottle before using some for the salad dressing and the steps to calculate it?

Answers

First you have to put the fractions in the same denominator. 1/5 and 1/2, times the denominators together and get 10. To get 5 to 10 you have to times by 2 so you do the same to the top (2/10) and to get 2 to 10 you times by 5 (5/10). So to start he had 7/10 of olive oil.

1/5 + 1/2. Make sure the under number are same. Become 2/10 + 5/10 = 7/10

If the division problem is 2.25 how many places should you move the decimal point in the dividend

Answers

I think you move it up and you divide 225 divided by X

You are wrapping a gift with the dimensions shown below. What is the least amount of wrapping paper you need?

Answers

that's a wierd gift

find surace area

2 identical side rectangle
2 identical end triangle
1 bottom rectangle

area of trialge=1/2bh
aera of rectangle=legnth tiems width

2 side rectangles are 5 by 10=50
times 2 since 2 of them 50*2=100

end triangles
1/2 times 8 times 3=12
2 of them
12 times 2=24

bottom
8 by 10
80

add everybody

100+24+80=204 in^2

Answer:

Step-by-step explanation:

find surace area2 identical side rectangle2 identical end triangle1 bottom rectanglearea of trialge=1/2bhaera of rectangle=legnth tiems width2 side rectangles are 5 by 10=50times 2 since 2 of them 50*2=100end triangles1/2 times 8 times 3=122 of them12 times 2=24bottom8 by 1080add everybody100+24+80=204 in^

Every year the library club plans an end-of-year-trip. The club usually starts fundraising at the beginning of the year to ensure it raises enough money. Ethan tells the members that anyone who is planning to go on the trip will need to sell 10 raffle tickets and 5 admission tickets at the annual fair. There are 28 members who plan to go on the trip.(a) Write two expressions showing the total amount of money the club will make if all 28 club members meet their goal. Use r to represent the price of each raffle ticket and a to represent the price of each admission ticket.

Answers

Given:
28 members
each member must sell:
10 raffle tickets
5 admission tickets

No price was specified. r is the price of each raffle ticket; a is the price of each admission ticket.

1 member :
10r + 5a

all 28 members:
28(10r + 5a)

or use distributive property of multiplication:
(28 *10r) + (28*5a)

108 identical books have a mass of 30 kg. Find(i) the mass of 150 such books,
(ii) the number of such books that have a mass
of 20 kg.

Answers

Answer:

The mass of 150 books = 41.7kg

The number of books that have mass 20kg = 72 books

Step-by-step explanation:

(I) Number of identical books = 108

Mass of books = 30 kg

Mass of 150 books = ?

Let the mass of 150 books = x kg

To find the mass of 150 books we will use ratio and proportion:

108 books: 30kg = 150 books: x kg

You can also write it like this because ratio can be written in division:

108/30 = 150/x

By cross multiplication:

108x = 150*30

108 x= 4500

Divide both sides by 108

108 x/108 = 4500/108

x= 41.7

Thus the mass of 150 books = 41.7kg

( ii ) The number of books that have a mass of 20 kg = ?

Let assume that the number of books of mass 20 kg = y books

We will again use ratio and proportion method.

108 books: 30kg = y: 20kg

We can write it as:

108/30 = y/20

By cross multiplication:

108 *20 = 30y

2160= 30y

Divide both the terms by 30

2160/30 = 30y/30

72 = y

Therefore the number of books that have mass 20kg = 72 books ....

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