Answer:
The maximum number of quarters that he could have is 13
Step-by-step explanation:
Let x represent the number of quarters he could have. If he has 10 dimes and has at least 20 coins, then
→ x + 10 >= 20
→ x >= 10 (1)
His coins worth at most $4.25. Also, it is known that 1 dollar is equal to 100 cents, 1 dime is equal to 10 cents and 1 quarter is equal to 25 cents.
→ (x * 25) + (10 * 10) <= (4.25 * 100)
→ 25x + 100 <= 425
→ 25x <= 325
→ x <= 13 (2)
If we combine the equation 1 and 2:
10 <= x <= 13
The maximum value of x is 13
Answer:
x+4y=-35
-8x-4y=28
Step-by-step explanation:
The answer to the original equations is (1, -9). You can solve that by using substitution by moving the 4y over and substituting that equation for x on the second part of the top equation. Using elimination, the second set of answers will give you the same, (1, -9)!
Answer:
The equation of a circle is
.
Step-by-step explanation:
-The equation of a circle is:
(where center is
, the point
and the radius known as
).
-Use the center (5,-4) and the point (5,-2) for the equation:

-Solve the equation:





-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:

-Then, after you have the equation, the radius needs to simplified by the exponent:

Down because it has a negative coefficient.
68°+52°=120 and a triangle is 180° so 180-120=60 so x=60
shortest to greatest 52, 60, 68