Patricia had less than $9 to spend when she went to the grocery store. she bought 1 pound of tomatoes and wanted to spend the rest of her money on potatoes. one pound of tomatoes cost $2.40 and one pound of potatoes cost $2.20.
question a: write inequality to show how many pounds of potatoes, x, patricia can buy.
question b: solve the inequality above to find how many pounds of potatoes patricia can buy.

Answer A:  $9 > $2.40 + $(2.20)(x)

Answer B: Patricia can buy less than 3 pounds of potatoes.

Step-by-step explanation:

Patricia had less than $9 to spend at the grocery store.

She bought 1 pound of tomatoes and wanted to spend the rest amount on potatoes.

Since 1 pound of tomatoes cost = $2.40

If 1 pound of potatoes cost = $2.20

Now cost of x pounds of potatoes = $(2.20).(x)

Total money spent = money spent on potatoes + amount spent on potatoes

$9 = $2.40 + $(2.20).(x)

But Patricia is having money less than $9 to spend, so total amount spent

will be less than $9 and the inequality will be as below.

Answer A:  $9 > $2.40 + $(2.20)(x)

Now solve the inequality to find how many pounds of potatoes Patricia can buy.

9 > 2.40 + 2.20x

2.20x + 2.40 < 9 (Subtract 2.40 from both side)

2.2x + 2.4 - 2.2 < 9 - 2.4

2.2x < 6.6 (divide both side from 2.2)

2.2x/2.2 < 6.6/2.2

x < 3

Answer B: Patricia can buy less than 3 pounds of potatoes.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages