Katherine uses 7/10
of a gallon of red paint to paint 3/5
of her wall.
How many gallons of red paint will she use to paint her whole wall?
A) 21/50
B)7/15
C) 1 1/6
D) 1 3/10

1 1/6 gallons will paint the whole wall

Step-by-step explanation:

7/ 10 gallon paints 3/5 of wall

x gallon will paint 1/1 of wall

7/10 * 1 = x * 3/5

7/10 = 3x/5

3x * 10 = 5 * 7

30x = 35

x = 35/30

x = 7/6 = 1 1/6 gallons

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.