9514 1404 393
Answer:
8 gallons
Step-by-step explanation:
The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...
$2/($0.25/gal) = 8 gal
to make the costs the same.
The customer must purchase 8 gallons for the total cost to be the same at both gas stations.
___
3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash
0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides
g = 2/.25 = 8 . . . . . . the way we did it above
1. 1/2- you count the total (8) and then count the two and all the numbers greater than 5( don’t count 5) that is 4 so it would be 4/8 simplified to 1/2
2. 1/2- count the total (still 8) and how many prime numbers there are (4- 2,3,5, and 7) the answer is 4/8 simplified to 1/2
ANSWER

EXPLANATION
The given binomial expansion is:

Compare this to

we have a=2x , b=-3y and n=10
We want to find the coefficient of the term

This implies that, r=5.
The terms in the expansion can be obtained using

We substitute the given values to obtain;



Hence the coefficient is;

Answer:
21x^2-2x+1
Step-by-step explanation:
The area of shaded region= The area of the floor - area of the identical islands
The area of shaded region=(5x+1)^2-2*(2x)(x+3)=25x^2+1+10x-4x^2-12x=21x^2-2x+1
Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°