MATHEMATICS HIGH SCHOOL

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer 1
Answer: Ummmmmmm try using those things that help ppl with math

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Explain how the expanded notation method is used to multiply 82 x 3

Answers

80 times 3 plus 2  up put 82 in expanded form and that would be 80,2    
2 can not be expanted and then you muliply either 2 and 2 or 2 and 80 which ever you do  you have to had what number you didnt use into the problem  

Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2

Answers

Answer:  The correct option is (b) (361)/(4).

Step-by-step explanation:  We are given to select the correct value of 'n' such that x^2-19x+n becomes a perfect square trinomial.

The standard form of a perfect square trinomial is

(x+a)^2=x^2+2a+a^2.

Now, we can write

x^2-19x+n\n\n=x^2-2* x* (19)/(2)+(361)/(4)+n-(361)/(4)\n\n\n=(x-(19)/(2))^2+n-(361)/(4).

So, for the given expression to be perfect trinomial,

n-(361)/(4)=0\n\n\Rightarrow n=(361)/(4).

Thus, (b) is the correct option.
B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2

Solve the absolute value equation. 

|x| = –15

Answers

|x|=-15\ \ FALSE\ x\in\O\n\nbecause\ |x|\geq0\ for\ every\ x\in\mathbb{R}.

(2x^2-17x-38)/(2x+3)

Answers

(2x^2-17x-38)/(2x+3)
=-15x^2-38)/2x+3)
=-7.5x^2/2x+3
=-3.525x-38+3
=-3.525x-35
(2x^2-17x-38)=(2x+3)(x-10)+8
(2x^2-17x-38)/(2x+3)=x-10+8
(2x^2-17x-38)/(2x+3)=x-2

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips. There are 9.6*10^5 paper clips in the container. Find the approximate weight of each paper clip in ounces. (1 pound= 16 ounces) Show Your Work.

Answers

Answer:

The approximate weight of each paper clip is 0.035 ounce.

Step-by-step explanation:

A container at a paper clip factory holds 2.1*10^3 pounds of paper clips.

= 2.1*1000=2100 pounds

There are 9.6*10^5 paper clips in the container.

= 9.6*100000=960000

Now we get that 960000 paper clips weigh 2100 pounds.

So, each paper clip will weigh = (2100)/(960000) = 0.0021875 pounds

And 1 pound = 16 ounces

0.0021875 pounds = 16*0.0021875 = 0.035 ounce

Hence, the approximate weight of each paper clip is 0.035 ounce.
Divide the total weight (2.1 * 10^3 lbs.) by the total quantity of things (9.6 * 10^5) to get the lbs./paperclip. 

Then, multiply that number by 16 to get ounces/paperclip.

2x - 3y = 1x = y + 2
solve the system using method of substitution and do a check to make sure PLEASE I BEG U

Answers

Answer:

we have x = y +2

now we put that value in other eq.

2(y+2)-3y = 1

2y+4-3y = 1

2y-3y = 1-4

-y= -3 (cut the signs on both side)

y= 3

now we put y value in the other given equation

x = 3+2

x = 5

we have y as 3 and x as 5.
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