MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

12x ≤ 100

Step-by-step explanation:

12*( x amount of washes) is less than or equal to 100$

HIGH SCHOOL

What multiplies to get 14 and adds to get -9

Hi. I begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.

To be clear: -2 x -7 = 14; and -2 + -7 = -9.

So the answer is -2 and -7.

To be clear: -2 x -7 = 14; and -2 + -7 = -9.

So the answer is -2 and -7.

HIGH SCHOOL

Rachel is a lunchroom supervisor at West School. The children eat lunch at 15 long tables. When all tables are used, 240 children can eat at one time. How many seats are there at each table?

240÷15=16 seats at each table

Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table

Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table

Answer:

16 seats per a table ok man

MIDDLE SCHOOL

Katie has read 32% of a book. If she has read 80 pages, how many more pages does Katie have left to read? Please explain

Keep note of these things before we start:

-Of is a keyword that tells us multiplication is being done

-x = total number of pages

-32% = 32/100 = .32

Okay, here we go:

32% of total number of pages = 80

.32 of x = 80

.32*x = 80

.32x = 80

.32x/.32 = 80/.32

x = 250

There are 250 pages in total in Katie's book.

To find out how many pages she has to read (y), subtract the pages read from the total:

TOTAL - PAGES READ = PAGES LEFT TO READ

250 - 80 = y

170 = y

Katie has 170 pages left to read

Hope this helps!

-Of is a keyword that tells us multiplication is being done

-x = total number of pages

-32% = 32/100 = .32

Okay, here we go:

32% of total number of pages = 80

.32 of x = 80

.32*x = 80

.32x = 80

.32x/.32 = 80/.32

x = 250

There are 250 pages in total in Katie's book.

To find out how many pages she has to read (y), subtract the pages read from the total:

TOTAL - PAGES READ = PAGES LEFT TO READ

250 - 80 = y

170 = y

Katie has 170 pages left to read

Hope this helps!

I'll make this easier for you. So we'll break the percent into bits. So 10% of 80 is 8. Multiply that by 3 because you have 30. That gives you 24. Now we have 2% left. So 1% of 80 is .8. Multiply that by two is 1.6. 1.6 + 24 = 25.6. Now you subtract the number of pages read (25.6) from the number of total pages (80). That gets you 54.4. So she needs to read 54 and 2/5 more pages.

COLLEGE

A group of 400 town residents is asked to attend a town hall meeting. Of the 400 residents asked to attend 36 were able to attend. What percentage of the town residents were able to attend? A. 1.1%

B. 90%

C. 11%

D. 9%

We have to find the percentage ratio of two numbers. It is . And the correct answer is D).

Alternatively, by setting up a ratio, we can write that If

400_____100%

36_____x

And x=9%

Alternatively, by setting up a ratio, we can write that If

400_____100%

36_____x

And x=9%

MIDDLE SCHOOL

Sandy works at a clothing store. She makes $6 per hour plus earns 10% commission on her sales. She worked 80 hours over the last two weeks and had a total of $2,986 in sales before taxes. Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?

Answer:

$778.60

Step-by-step explanation:

Sandy worked 80 hours over the last two weeks. She makes $6 per hour, so she earned

Sandy had a total of $2,986 in sales before taxes. Sandy earns 10% commission on her sales, so

is Sandy's earning on sales.

In total, Sandy earned

HIGH SCHOOL

Which of the following is not an inertial reference frame? Which of the following is not an inertial reference frame? a. a reference frame that is moving westward at 10 km/s

b. a reference frame that is rotating at a constant rate

c. a reference frame that is moving upward at a constant speed

d. a reference frame that is moving downward at a constant speed E) a reference frame that is motionless

An inertial reference frame is a frame of reference in which a body remains at rest OR moves with a constant LINEAR velocity. Answer choices A, C, and D are moving linearly at a constant rate and are all inertial frames of reference. Answer choice E is motionless, and is therefor an inertial frame of reference. Answer choice B is rotating at a constant rate. Rotation is not an inertial frame of reference.

Therefor, the answer is B.

Therefor, the answer is B.

HIGH SCHOOL

Use the quadratic formula to solve the equation. X^2-7x-6=0

X = -1

x = -6

is that one of the options?

x = -6

is that one of the options?

Your answer is

or 7+- squareroot 73/2

or 7+- squareroot 73/2

HIGH SCHOOL

What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2

Answer: The slope is: "3" ; which does not appear among the answer choices given.

______________________________________________

The slope, "m" is calculated as follows:

___________________________________

Given two coordinates on a line;

m = (y₂ − y₁) / (x₂ − x₁) ;

__________________________________________

We are given the following 2 (TWO) coordinates:

__________________________________________

1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:

2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;

_____________________________________________

So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3. The slope is: 3 ; which does not appear among the answer choices given.

______________________________________________

Alternately,

______________________________________________

We are given the following 2 (TWO) coordinates:

__________________________________________

1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:

2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;

______________________________________________

So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3. The slope is 3 ; which does not appear among the answer choices given.

________________________________________________

______________________________________________

The slope, "m" is calculated as follows:

___________________________________

Given two coordinates on a line;

m = (y₂ − y₁) / (x₂ − x₁) ;

__________________________________________

We are given the following 2 (TWO) coordinates:

__________________________________________

1) (5,2) ; which is: (x₁ ,y₁) ; so x₁ = 5 ; y₁ = 2 ; AND:

2) (7,8); which is: (x₂ ,y₂) ; so x₂ = 7; y₂ = 8 ;

_____________________________________________

So; m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3. The slope is: 3 ; which does not appear among the answer choices given.

______________________________________________

Alternately,

______________________________________________

We are given the following 2 (TWO) coordinates:

__________________________________________

1) (7,8) ; which is: (x₁ ,y₁) ; so x₁ = 7 ; y₁ = 8 ; AND:

2) (5,2); which is: (x₂ ,y₂) ; so x₂ = 5; y₂ = 2 ;

______________________________________________

So; m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3. The slope is 3 ; which does not appear among the answer choices given.

________________________________________________

MIDDLE SCHOOL

Choose the equation that represents a line that passes through points (−1, 2) and (3, 1). A)4x − y = −6 B)x + 4y = 7 C)x − 4y = −9 D)4x + y = 2

The equation of line that passes through points (-1, 2) and (3, 1) will be

x + 4y = 7

Option B is true.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The points on the line are (-1, 2) and (3, 1).

Since, The equation of line will be;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁)/ (x₂ - x₁) is slope of the line.

And, (x₁, y₁) is the point on the line.

Thus, Slope = (1 - 2) / (3 - (-1))

= (-1)/4

= -1/4

So, The equation of line with slope -1/4 and point (-1, 2) will be;

y - 2 = -1/4 (x - (-1))

4 (y - 2) = - 1(x + 1)

4y - 8 = -x - 1

x + 4y = 8 - 1

x + 4y = 7

So, The equation of line that passes through points (-1, 2) and (3, 1) will be

x + 4y = 7

Learn more about the equation of line visit:

brainly.com/question/25969846

#SPJ2

Answer:

B.

Step-by-step explanation:

I think I'm going to go with the plug in method here.

If you get the same value on both sides, then the point is contained on the line.

A)

4x-y=-6

Test (-1,2): 4(-1)-2=-6

4(-1)-2=-6

-4-2=-6

-6=-6

True; the equation holds for (-1,2).

Test (3,1): 4(3)-1=-6

4(3)-1=-6

12-1=-6

11=-6

False; the equation doesn't hold for (3,1).

A isn't the right choice.

B)

x+4y=7

Test (-1,2): -1+4(2)=7

-1+4(2)=7

-1+8=7

7=7

True, the equation holds for (-1,2).

Test (3,1): 3+4(1)=7

3+4(1)=7

3+4=7

7=7

True, the equation holds for (3,1).

Since the equation held for both (-1,2) and (3,1) then B is the right answer.

-------------------Let's also go ahead and find the equation another way:

(3,1) and (1,-2) are points on your line.

I'm going to write an equation for these points in slope-intercept form first which is y=mx+b where m is slope and b is y-intercept.

I will then rearrange into standard form like your choices are in.

m=slope=rise/run.

To find this, I like to line up the points and subtract and then put 2nd difference over 1st difference.

Like so:

(-1,2)

-(3,1)

---------

-4 1

The slope is 1/-4 or -1/4.

So the equation so far is y=-1/4 x+b since m=-1/4.

Now to find b, I'm going to use y=-1/4 x +b along with one of the given points on the line like (x,y)=(-1,2).

y=-1/4 x+b

2=-1/4 (-1)+b

2=1/4+b

Subtract 1/4 on both sides:

2-1/4=b

7/4=b

So the equation of the line is y=-1/4 x +7/4.

Now the goal is to write in ax+by=c form where a,b,c are integers.

Multiply both sides of y= -1/4 x +7/4 by 4 giving you:

4y=-1x+7

Add 1x on both sides:

1x+4y=7

or

x+4y=7 since 1x=x

So x+4y=7 is the answer if you prefer this way. Well anyway you prefer, this is the correct standard form for this line.