The blanco family is deciding between two lawn care services. Evergreen charges a $49 startup fee, plus $29 per month. Great Grass charges a $25 starup fee, plus $37 per month. In how many months will both lawn-care services cost the same? What will the cost be?
Answers
In three months their money will be equal and the amount is $136.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, the Blanco family is deciding between two lawn care services.
Evergreen charges a $49 startup fee, plus $29 per month.
Let the number of months be x.
Here, 49+29x -----(i)
Great Grass charges a $25 starup fee, plus $37 per month.
So, 25+37x ------(ii)
Both lawn-care services cost the same
Equation (i) and (ii) are equal, we get
49+29x=25+37x
37x-29x=49-25
8x=24
x=3
Now, 49+29x=$136
25+37x=$136
Therefore, in three months their money will be equal and the amount is $136.
To learn more about an equation visit:
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Answer:
hey here's your answer!☺️
since number = n
so, 5 times of number = 5×n = 5n
and , 30 more than 8 times the number = 8n + 30
so, According to the question,
equation formed :-
" 5n = 8n + 30 "
hope it is helpful ✌️!
Answers
Answers
(-y2 – 4y - 8) – (-4y2 – 6y + 3)
Answers
Answer:
3y^2 +2y -11
Step-by-step explanation:
(-y^2 – 4y - 8) – (-4y^2 – 6y + 3)
Distribute the minus sign
(-y^2 – 4y - 8) +4y^2 + 6y - 3
Combine like terms
-y^2+4y^2 – 4y + 6y - 3-8
3y^2 +2y -11
Answer:
3y^2+2y-11
Step-by-step explanation:
I am guessing for -y2 and -4y2 you meant exponents; it would still get you the same answer though.
-y^2-4y-8 - (-4y2-6y+3)
1.Distribute; -y^2-4y-8 -1(-4y2*-1-6y*-1+3*-1)
you then get; -y^2+(-4y)+(-8) +4y^2+6y+-3
2.Combine like terms; 3y^2+2y-11
Then you get: 3y^2+2y-11.
Answers
We are given :
Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :
=
=
=
Step 2:
Now we take square root of the factorised form
=
Answer : (2x-5)