sally can type 1 1/2 pages of a paper in 2/3 hour. mike types 1/2 page in 1/6 hour. what is each students rate per hour? who types the most per page?

Answers

Answer 1
Answer: Sally would type 2 1/4 pages an hour while mike would type 3 pages an hour.

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Im having trouble on 2 questions... 2 (x-5)=x-8 and 2 (x-5)=x.... can u figure them out and explain how to get them.... thanks

Answers

2(x-5)=x-8\n2x-10=x-8\n2x-x=-8+10\nx=2\n\n2(x-5)=x\n2x-10=x\n2x-x=10\nx=10

Justify each step with an algebraic property. 16+x=12

Answers

-4 would be the correct answer to the problem
An easy way to answer this is to subtract 16 from 12, which results in -4/negative four.

If g(x) = x2 + 3, find g(4).
011
19
16
08

Answers

Answer:

11

Step-by-step explanation:

An employee is to mark up a piece of jewelry 120%. If a necklace costs $100, what should its selling price be?

Answers

$220

The employee has to mark up the $100 piece of jewelry by 120%. This means that the employee must add 120% of 100 to the original price of the jewelery. To find this, we simply multiply, since "of" in math means multiplication.

So, we must calculate 120% • 100 = 120 (because 120% = 1.2 and 1.2 • 100 = 120)

Now, we just add: 100 + 120 = 220, so the selling price should be 220

The price of a t-shirt was reduced from $18.00 to $13.00. Find the percent of the discount.

Answers

1st find discount
18-13=5
5 is discount

discount from original
5/18=x%
percent means parts out of 100 so x%=x/100
5/18=x/100
multiply both sides by 900
250x=9
divide both sides by 250
x=27.77777
aprox 28%

answer is 28%

Factorise x^2 - 7x + 12

Answers

Answer:

= (x-4)(x-3)

Step-by-step explanation:

Firstly, put the pronumeral in the brackets [(x)(x)].

Then, place the signs in the right positions, the sign of the constant number (12) is a positive (+), therefore the two signs must be the same. The sign of the -7x is negative (-). Place these in the brackets [(x-)(x-)].

Next, think of the factors of 12 that add up to 7 {(3 and 4) 3x4 is 12 and 3+4 is 7}. [(x-4)(x-3)].

Have a nice day!!!!!!! :-)

KA

Answer:

(x-3) (x-4)

Step-by-step explanation:

x²- 7x + 12

= x² - 3x -4x +12

=x(x-3) - 4(x-3)

=(x-3) (x-4)