The number of dimes is 75 coins.
The number of nickels is 1 coin.
<u>Step-by-step explanation:</u>
It is given that,
A box contains 76 coins, only dimes and nickels.
- The 10 cent coin is called a dime.
- Let, the number of dimes be x.
- The 5 cent coin is called a nickel.
- Let, the number of nickels be y.
<u>This is represented by the system of equations :</u>
x + y = 76 -------(1)
10x + 5y = 4.90 ------(2)
Multiply eq (1) by 5 and subtract eq (2) from eq (1),
5x + 5y = 380
-<u>(10x + 5y = 4.90)</u>
<u>-5x = 375.1</u>
x = 375/5
x = 75 coins.
The number of dimes is 75 coins.
Substitute x=75 in eq (1),
y = 76 - 75
y = 1 coin.
The number of nickels is 1 coin.
The will intersect at a point with a positive x coordinate.
We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.
Answer:
hour
Step-by-step explanation:
Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.
We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.
We will use proportions to solve our given problem as:
We will equate both speeds as:
Cross multiply:
Therefore, it will take hour to complete 
mile state fair race.
Answer:
1413.86 ft^2.
Step-by-step explanation:
The diameter of the circle = 50 - 2(18)
= 50-36
= 14 ft.
So its radius is 7 ft.
The total area of the blue shape
= 2(35 * 18) + 3.14*7^2
= 1413.86 ft^2.
The first one is the correct answer
Y-7=-3(x+2)
