Sanjay uses the steps below to solve the equation 40+ (10+20) = 8 5
BILE
Step 1
Multiply both sides of the equation by z
su
40+ 10+2p= 20
Step 2
Simplify like terms
60+ 10 = 20
Step 3
Subtract 10 on both sides of the equation.
60= 10
Step 4
Divide both sides of the equation by 6
2
p= 6 = 3
Which is the first error that Sanjay made when finding the solution?
in step one, he multiplied by 5/2 instead by 2/5 in step 1, he did not multiply 4p by 5/2 when both sides by 5/2 in step 3, he should have added 10 to both sides of the equation instead of subtracting 10
in step three he should have divided both sides by 6 instead of subtracting 10

step-by-step explanation:

$15.40 per mile

step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)