Answer: See below
Step-by-step explanation:
27. -(a-3)
28. (b-1)(b+3)
29. (c+4)(c+5)
30. d(d+5)
31. -(3/4)(2e-5)
Sorry - I don't have time to enter the details. Look for areas where the expressions can be factored in a manner that forms as many equivalent expressions in both the numerator and denominator.
For example: In problem 30:
(5d-20)/(d^2+d-20) * [??]/20d = 1/4
Factor:
<u>(5(d-4))</u> <u>d(d+5)</u> = 1/4
(d-4)(d+5<u>)</u> 20d
The (d-4), d+5, and d terms cancel, leaving
5/20 = 1/4
Answer:
Step by Step:
multiply the cost by the percentage.
Then add the cost to the answer
Answer:200.70
Given :
A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.
To Find :
What was her first error.
Solution :
Her first error is to find Unit price of egg in each carton.
To find, unit price we should divide total amount by number of units :
Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .
Hence, this is the required solution.
Answer:
The Answer is: y = 2/3x - 2/3
Step-by-step explanation:
Given points: (4, 2) and (-2, -2)
Find the slope m:
m = y - y1 / (x - x1)
m = 2 - (-2) / (4 - (-2))
m = 2 + 2 / (4 + 2)
m = 4 / 6 = 2/3
Use the point slope form, substitute the point (4, 2) and solve for y to get the point slope form:
y - y1 = m(x - x1)
y - 2 = 2/3(x - 4)
y - 2 = 2/3x - 8/3
y = 2/3x - 8/3 + 6/3
y = 2/3x - 2/3
Proof:
f(-2) = 2/3(-2) - 2/3
= -4/3 - 2/3 = -6/3 = -2, giving (-2, -2)
Hope this helps!! Have an Awesome Day!! :-)
Answer:
10.75
Step-by-step explanation:
First you see how many times 4 can go into 4 in the tens place which is 1 .You multiply 4 times 1and you get 4 .Then you minus 4 from 4 and get
Then you bring down the 3 and see how many times 4 can go into 3 which is 0 .So you put a decimal point and bring down a 0.
See how many times 4 can go into 30,which will be 7 times.After , you multiply 7 times 4 and you get 28.Subtract 29 from 30 and you get 20.You bring down the 0 .
See how many times 4 can go into 20 which is 5.Mutiply 5 times 4 and get 20 then subtract 20 from 20.
Get a final quotient of 10.75.
