Sam purchased a video game for $19.99 but paid $22.65. Sam paid $<br> in sales tax.

A frozen pizza cost $3.00 in 2000. In 2015 it cost $2.50

user100 [1]

There’s a 50 cents difference woahhhh

7 0

3 years ago

Mrs.Kennedy is buying pencils for each of 315 students at Hamilton Elementary. The pencils are sold in boxes of tens. How can sh

g100num [7]

Mrs Kennedy is buying pencils for 315 students.

The pencils are sold in boxes of 10.

Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.

number of students are 315 but 315 is not a multiple of 10

so we have to round off 315 to the nearest ten, that's 320.

so then she has to buy 320 pencils

number of boxes she needs - 320 / 10 = 32 boxes of pencils

she only needs pencils for 315 students so she will have 5 extra pencils

she will have to buy 32 boxes

4 0

3 years ago

Read 2 more answers

State whether the lines are parallel, perpendicular,or neither.

cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

Given the lines

1)

y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6

y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 × - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3

2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4

x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 × - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2

3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6

y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3

y = -1/3x - 4

Comparing with y=mx+b, the slope of y = 1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0

3 years ago

Choose the product. -5p 3(4p 2 + 3p - 1) -20p 5 - 15p 4 + 5p 3 -20p 6 - 15p 4 - 5p 3 -20p 5 + 3p - 1 20p 5 + 15p 4 - 5p 3

Likurg_2 [28]

<span>-5p^3(4p^2 + 3p - 1) = -20p^5 - 15p^4 + 5p^3

answer is

A. first one
</span>-20p^5 - 15p^4 + 5p^3

5 0

3 years ago

Read 2 more answers

Which ordered pair would form a proportional retationship with the points in the graph?

shtirl [24]

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

7 0

2 years ago

Sam purchased a video game for $19.99 but paid $22.65. Sam paid $ in sales tax.