Algebra Answers

prepare a line graph

monday 150

tuesday 250

wednesday 200

thursday 140

friday 210

saturday 380

sunday 450

47-53

There are 2 groups of people. The first group of people is standing at the right hand, but the second group standing on the left side is half the number of the first group, in the middle stands one man. So if both groups plus 1 man is equal to 100, how many people are in every group?

If a certain number x is subtracted from 8,it will be equal to two less than four times the same number

To make a certain household paint, you need to mix 3/4L of white paint, 15ml of red paint and 10ml of yellow paint. If you need a total volume of 31 litres of this paint, how much of each colour must you mix?

How many terms are there for the arithmetic sequence

28 , 25 , 22 , 19 , ⋯ , − 29 , − 32 ?

The sum of the first 3 terms of geometric sequence is 189 and the sum of the first 6 terms is 182.

A company has learned that by pricing a newly released toy at ​$7​, sales will reach 3000 per day. Raising the price to ​$9 will cause the sales to fall to 2000 per day. Assume that the ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales.

a. Find the linear equation that models the​ price-sales relationship for this toy.​ [Hint: The line must pass through ​(7​,3000​) and ​(9​,2000​).]

b. Use this equation to predict the daily sales of the toy if the price is set at ​$8.50.

Find the equation of the line.

Through (3,−5)​; perpendicular to y=−10.

Find an equation of the line. Write the equation using function notation.

Through (−5,−9)​; parallel to 6x+5y=11