Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. she can spend no more than $42 on art supplies.

a. write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, carmen can buy.

b. name three different solutions to the inequality.

Step-by-step explanation:

Let x = the number of bottles of paint that Carmen can buy

Let y = the number of boxes of colored pencils that Carmen can buy

A bottle of paint costs $2

A box of colored pencils costs $3.50

She can spend no more than $42 on art supplies. This means

She can buy bottles of paint worth 2×x = $2x

She can buy boxes of colored pencils

worth 3.5 × y = $3.5y

Since the total amount she can spend cannot exceed $42, the equation becomes

2x + 3.5y lesser than or equal to 42

This is shown in the attached photo

b) three different solutions to the inequality would be three different possible values that x and y can take. These are

x = 7 while y = 8

x = 10 while y = 6

x = 14 and y = 4

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 .

answer: idk wbu

step-by-step explanation: