The royal fruit company produces two types of fruit drinks. the first type is 35% pure fruit juice, and the second type is 100% pure fruit juice. the company is attempting to produce a fruit drink that contains 45% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 260 pints of a mixture that is 45% pure fruit juice?

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used= 73.84

Step-by-step explanation:

Let

x =pints of 35% pure fruit juice

100-x=pints of 100% pure fruit juice

35%x+100%(100-x) =45%(260)

0.35x+ 100 - 1x = 117

-.0.65x= - 17

x= 26.15

100-x= 73.84

ans:

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used= 73.84

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6