Step-by-step explanation:
(2c+c) + 12 =78
3c + 12 = 78
78 - 12 = 66
66 ÷ 3 = 22
22 + 22 + 22 + 12 = 78
{ C = 22 }
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
So it is asking you to group like term so
x terms can be grouped/added/subtracted to other x terms, but not to x^2 or x^3 terms
x^2 terms to x^2 and so on so
1. 9-3k+5k=
9+(5k-3k)=
9+2k
2. k^2+2k+4k=
k^2+(2k+4k)=
k^2+6k=
Answer:
160 miles
Step-by-step explanation:
Company A form $130 a day plus $0.30 per mile
Company A = 130 + 0.30x
Company B charges $50 a day plus $0.80 per mile
Company B = 50 + 0.80x
Where,
x = number of miles
Equate the cost of company A and company B
130 + 0.30x = 50 + 0.80x
Collect like terms
130 - 50 = 0.80x - 0.30x
80 = 0.50x
Divide both sides by 0.50x
x = 80 / 0.50
= 160
x = 160 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles
Answer:
Each of them had $49 at first.
Step-by-step explanation:
Given:
Cedric and Doug each had an equal amount of money.
Let the number of money they had at first be x
Cedric spent = $35
Doug spent = $28
Cedric Money left = 
Doug Money left = 
the ratio of Cedric money to Doug money was 2:3
Hence the expression can be made as;

Now by cross multiplication method we get;

Now we will use distributive property to elaborate the same;

Combining common terms we get;

Using Subtraction property we get;

Hence $49 they each had at first.