Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:
In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that 
So
Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So
He played 7 arcade games.
Answer:
Both answers will give an area of 2400 ft2
but with x=60 we have lawn dimensions -60 ft by -40 ft so this is out
x = 10 ft width for the sidewalk
Check: New lawn dimensions
(80-2x)(60-2x) = 60(40) = 2400 ft^2
Step-by-step explanation:
Draw a diagram:
We have a rectangle inside a rectangle.
The larger outside rectangle is the original lawn: 80ft by 60 ft with area 4800 ft2
The smaller inside rectangle is (80-2x)by(60-2x) where x is width of the new sidewalk.
Area of new lawn is 2400 ft^2
(80-2x)(60-2x) = 2400
4800 - 160x - 120x + 4x2 = 2400
4x2 - 280x + 2400 = 0
Factor out a 4
x2 - 70x + 600 = 0
(x-60)(x-10) = 0
x = 60 ft or x = 10 ft
Answer:
7:42
Step-by-step explanation:
First off you add the ratio together-
6+1=7
Then you divide-
49÷7= 7
7 is equal to 1 in this ratio.
To write out the ratio you need to multiplicate-
7×1=7
and
6×7= 42
Leaving the as-
7:42
(x+2)/(x) + (x-3)/(x+2)
Common denominator x(x+2)
Reduce both to common denominator:
x+2)/[x(x+2)] + (x-3)/[x(x+2)] ===> [(x+2)² + (x-3)] / [x(x+2)]
= [x²+4x+4+x-3] / [x(x+2)]
=[x²+54x+1] / [x(x+2)]
Answer:
$0.07
Step-by-step explanation:
nails = 3.10/155 = 0.02/piece
screws = 7.65/85 = 0.09/piece
0.09 - 0.02 = 0.07
