MATHEMATICS HIGH SCHOOL

Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

Answers

Answer 1

Answer:

Answer:

3.2x + 0.8y ≤ 50

Step-by-step explanation:

Mr. Ishimoto ordered math books and workbooks for his class.

Weight of each math book = 3.2 pounds

number of math books ordered = x

so, total weight of math books = 3.2x

Weight of each workbook = 0.8 pounds

number of workbooks ordered = y

so, total weight of workbooks = 0.8y

Since the total weight of the box of books cannot be more than 50 pounds, the equation would be

3.2x + 0.8y ≤ 50

Answer 2

Answer:

Answer: B

Step-by-step explanation:

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Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)

Answers

Answer:

63x^2-34x+3

Step-by-step explanation:

Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286 seconds. How long is the shorter song?

Answers

If there are two songs written and the longest one is 126 seconds less than twice the length of the short song, and the longest one lasts 286 seconds, then the shorter song's length can be found using this formula:
2x-126=286.
This would then turn into x-63=143 to show the time difference. Solving here for x, would be 206 seconds.

Hide and Seek

Ding Dong

I know you can hear me

Open up the door

I only want to play a little

Ding Dong

You can't keep me waiting

It's already too late

For you to try and run away

I see you through the window

Our eyes are locked together

I can sense your horror

Though I'd like to see it closer

Ding Dong

Here I come to find you

Hurry up and run

Let's play a little game and have fun

Ding Dong

Where is it you've gone to?

Do you think you've won?

Our game of hide and seek has just begun

I hear your footsteps

Thumping loudly through the hallways

I can hear your sharp breaths

You're not very good at hiding

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

(I'm coming)

Just wait, you can't hide from me

Knock Knock

I am at your door now

I am coming in

No need for me to ask permission

Knock Knock

I'm inside your room, now

Where is it you've hid?

Our game of hide and seek's about to end

I'm coming closer

Looking underneath your bed but

You're not there, I wonder

Could you be inside the closet?

Ding Dong

I have found you

Ding Dong

You were hiding here

Now you're it

Ding Dong

Finally found you, dear

Now you're it

Ding Dong

Looks like I have won

Now you're it

Ding Dong

Pay the consequence

Ding Dong

Looks like I have won

Now you're it

Ding Dong

Pay the consequence

When graphing an equation in slope-intercept form, what is the first step.

Answers

Answer:

show the a pic

Step-by-step explanation:

1. what is the GCF of the terms of 8c^3+12c^2+10c? A.2
B.4
C.2c
D.4c

2. How can the polynomial 6d^4+9d^3-12d^2 be factored l?

Answers

Answer:

1. C. 2c

2. $3d^2(2d^2+3d-4)$

Step-by-step explanation:

A. We have been given an expression and we are asked to find the GCF of our given expression.

$8c^3+12c^2+10c$

Let us find factors of each of our given terms.

Factors of $c^3$ are $c*c*c$ ,

Factors of $c^2$ are $c*c$ ,

We can see that c is the greatest common factor of $c^3$ , $c^2$ and $c$ .

Factors of 8 are: 1, 2, 4, 8.

Factors of 12 are: 1, 2, 3, 4, 6, 12.

Factors of 10 are: 1, 2, 5, 10.

The greatest common factor of 8,12 and 10 is 2.

So let us factor out 2c from our expression.

$2c(4c^2+6c+5)$

Therefore, the greatest common factor of our given expression is 2c and option C is the correct choice.

2. We have been given a polynomial and we are asked to factor our given polynomial.

$6d^4+9d^3-12d^2$

We will pull out the greatest common factor of the terms of our given polynomial.

We can see that GCF of $d^4$ , $d^3$ and $d^2$ is $d^2$ .

The GCF of 6, 9 and 12 is 3.

So let us factor out $3d^2$ from our polynomial.

$3d^2(2d^2+3d-4)$

Therefore, the factored form of our given polynomial is $3d^2(2d^2+3d-4)$ .

If you pay attention 2 goes into 8, 10, & 12 and it looks like they all have one C. So what do you think it is lol?(:

What is the solution of this linear system?3x + 5y = -1
2x − 5y = 16
(-3, 2)
(-3, -2)
(3, -2)
(2, -3)

Answers

  3x + 5y = -1
  2x - 5y = 16
  5x = 15
5 5
  x = 3
  3x + 5y = -1
3(3) + 5y = -1
9 + 5y = -1
- 9   - 9
5y = -10
5 5
y = -2
  (x, y) = (3, -2)

The answer is C.

Identify the solutions of the system of equations, if any
x+5y=6
6x-10y=12

Answers

$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \n\n\n \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \n ======== \n\n 8x=24 \ \ \ |:8 \n\n \boxed{x=3} \n\n x+5y=6 \n\n 5y=6-x \n\n y=(6-x)/(5) \n\n y=(6-3)/(5) \n\n \boxed{y=(3)/(5)}$

so assuming x and y remain constant, we can make one of the place holders negative and add the equations together to cancel each other out so

we can cancel out the y terms since 5 is close to 10
(x+5y=6) times 2=2x+10y=12
add this to 6x-10y=12
2x+6x+10y-10y=12+12
8x=24
divide both sides by 8
x=3
subsitute into first equation
x+5y=6
3+5y=6
5y=3
y=3/5
x=3

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100 POINTS! PLEASE HELP WITH MATH