Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets. To make this, he combines some 80/20 mixture with some pure water in each 5-gallon bucket. How many gallons of pure water does Manny add to each 5-gallon bucket? Express your answer as a decimal to the nearest hundredth.

1.25 gallons of pure water

Step-by-step explanation:

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets.

0.80 d + 0.20w = 15 gallon

Manny would like a mixture of 60% detergent and 40% water in 5-gallon buckets.

0.60d + 0.40w = 5 gallon

0.80 d + 0.20w = 15 Equation 1

0.60d + 0.40w = 5 ….. Equation 2

Using elimination method

Multiply Equation 1 with 0.60

Multiply Equation 2 with 0.80

We eliminate d

0.80 d + 0.20w = 15 × 0.6

0.60d + 0.40w = 5 × 0.8

=

0.48d + 1.2w = 9 Equation 4

0.48d + 3.2w = 4 Equation 5

Subtract Equation 5 from 4

= - 2.0w = -5

w = -5/-2

w = 2.5 gallons.

Hence: 2.5 gallons/2

= 1.25 gallons.

Therefore, Manny adds 1.25 gallons of pure water.

20

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)