A = length · width
7x3 - 42x2 = L(7x2) Factor left side
7x2(x - 6) = L(7x2) Divide both sides by 7x2
x - 6 = L
The length of the pool is x - 6.
Note: Length is always longer than width. Although the algebra is correct, it is doubtful that x - 6 is greater than 7x2.
Answer:
n=3
Step-by-step explanation:
3n − 2 = 7
add 2 to each side
3n-2+2 = 7+2
3n = 9
divide by 3
3n/3 = 9/3
n = 3
Answer:
add the exponents
Step-by-step explanation:
when multiplying 2 powers that have the same base, you can add the exponents
The longest runway of New York, as it's 2.76 miles long where as Chicago's is 2.4 miles long.
1. This problem lacks given values, where are the
numbers? Just fill-in the numbers I will variables in this case.
Let us say that:
x = number of cups of flour
y = number of cups of white sugar
z = number of cups of brown sugar
(a) Just divide x by 6 to get cups of flour per serving
x / 6
(b) Simply add y and z and divide the sum by 6
(y + z)/6
(c) From (a) we know that there are x / 6 flours per
serving, so simply multiply that by 9 then subtract the original x to know how
much more you need:
[(x / 6) * 9] – x
2.
(a) We know that we deposit $5 per day, so after 5 days
we got:
total deposit = ($5 / day) * 5 days = $25
(b) The total deposit is 25 dollars, so removing $2 a day
we need:
25 / 2 = 12.5 days
3.
(a) d is distance, R is rate, T is time
32.12 = 8.8 T
(b) It is rightful to write distance d as a positive
number since the scuba diver was ascending towards the surface. If this is to
be plotted on a Cartesian plane, we are moving towards the positive y axis
(c) solving for T:
32.12 = 8.8 T
T = 32.12 / 8.8
T = 3.65 minutes
