Help! There's 3 questions here! Translate the following verbal statement to an inequality. Show/Explain how you know your translation is correct. The quotient of a number and three is at most fifteen less than twice the number
Solve the following inequality. Show your work/thinking and graph the solution. 3(-2x+4)>-12
Sonya started a business fixing people’s computers. She spent $10,500 on tools, parts, and software. She spends an additional $200 per week on other expenses. She earns $600 each week. What is the minimum number of weeks she needs to be operating her business to make a profit? Show all work/thinking and provide your solution in the blank below. Sonya must be open for a minimum of weeks to make a profit.

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 .

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)

care to share were the trapezoid shown is ?