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kolezko [41]
2 years ago
9

(Repost) School is starting, and the teacher is giving each student 2 new pencils. She has 8 rows with 4 desks in each row. Whic

h method (s) below will show her how many pencils she will need?
A. 2 x 8 + 16, 16 x 4
B. 2 x 4 + 8, 8 x 8
C. 4 x 8 + 32, 2 x 32
-------------------------------------
A. Only method A
B. Only method A and B
C. Only method B and C
D. Only method A, B, and C
Mathematics
2 answers:
liubo4ka [24]2 years ago
7 0

A

2 x 8+16 = 32 16 x 4 = 64

B

2 x 4 +8 = 16 8 x 8 = 64

C

4 x 8 + 32 = 64  2 x 32 = 64

1  l l l l   8              5 l l l l     40

2 l l l l   16             6 l l l l     48

3 l l l l   24            7 l l l l      56

4 l l l l   32            8 l l l l      64

The teacher has 64 or more pencils to give out.

<em>Hope this helps you choice your answer. :) </em>

creativ13 [48]2 years ago
5 0
D.) only method A, B, and C,
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Nadusha1986 [10]

Answer:

The equation of line with given slope that include given points is                 3 y + x - 20 = 0

Step-by-step explanation:

According to Cora , if we know the slope and points on a line then we can write the equation of a line .

Since , The equation of line in slope-intercept form is

y = m x + c

<u>Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .</u>

So , From the statement said above it is clear that she is correct .

Now , Again

Given as :

Slope of a line is m = - \frac{1}{3}

That include points ( 2 , 6 )

Now from the equation of line as  y = m x + c

∴   6 =  - \frac{1}{3} ( 2 ) + c

Or, 6 =  - \frac{2}{3}  + c

So , c = 6 + \frac{2}{3}

or,  c = \frac{18 + 2}{3}

∴   c = \frac{20}{3}

So, The equation of line can be written as

 y =   - \frac{1}{3} x + \frac{20}{3}

Or, 3 y = - x + 20

I.e  3 y + x - 20 = 0

Hence The equation of line with given slope that include given points is     3 y + x - 20 = 0   Answer

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Believing in a spiritual higher being
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Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2 y equals start fraction two over three end fraction x y equ
sertanlavr [38]

Answer:

y=\frac{2}{3} x (y equals start fraction two over three end fraction x)

Step-by-step explanation:

Lest's organize the table values of our function first:

x    y

-6  -4

-3  -2

0   0

3   2

The simplest kind of of function is a linear function of the form y=mx+b where m is the slope and b is the y-intercept. Let's us check if our function is a linear one finding its equation and checking that all points are in the line.

The first step to find a linear equation is find the slope of the line; to do it, we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope of the line

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

We know from our table that the first and second points are (-6, -4) and (-3, -2) respectively, so x_1=-6, y_1=-4, x_2=-3, and y_2=-2.

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-2-(-4)}{-3-(-6)}

m=\frac{-2+4}{-3+6)}

m=\frac{2}{3)}

Now that we have the slope of our line we can use the point slope formula to complete our linear function:

y-y_1=m(x-x_1)

where

m is the slope

(x_1,y_1) are the coordinates of the first point

Replacing values:

y-y_1=m(x-x_1)

y-(-4)=\frac{2}{3)}(x-(-6))

y+4=\frac{2}{3)}(x+6)

y+4=\frac{2}{3} x+4

y=\frac{2}{3} x+4-4

y=\frac{2}{3} x

Now, to check if our function is valid, we can either check if each point satisfies the rule y=\frac{2}{3} x, or we can graph it and check if each lies is in the graph.

Let's check both:

We already know that points (-6, -4) and (-3, -2) satisfy the rule (after all, those were the point we used to came out with the rule in the first place), so we just need to check the points (0, 0) and (3, 2)

- For (0, 0):

y=\frac{2}{3} x

0=\frac{2}{3}(0)

0=0

The point satisfies the rule.

- For (3, 2):

y=\frac{2}{3} x

2=\frac{2}{3} (3)

2=2

The point satisfies the rule.

Since all the points of our table satisfies the rule y=\frac{2}{3} x, we can conclude that the rule describing the function shown is y=\frac{2}{3} x.

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3 years ago
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