Answer:
Price of one bag of popcorn: $9.5
Price of one drink: $5.5
Step-by-step explanation:
Let be "b" the price in dollars of a bag of popcorn and "d" the price in dollars of a drink.
You know that the total amount of money Easton spends on on 9 bags of popcorn and 6 drinks, is $118.50. Then,this can be represented with the following equation:
Knowing that Eli spends $83.50 on 3 bags of popcorn and 10 drinks, you can write the second equation:
Then, the System of equations is:
You can use the Elimination methot to solve it:
1. Multiply the second equation by -3.
2. Add both equations.
3. Solve for "d"
Then, you get:
4. You can subsitute "d" into the second equation and solve for "b":
Answer:
We can use three solution and they are
(1)completing the square
(2)quadratic formula
(3) factorisation method
Answer:
Step-by-step explanation:
Let the number of dimes be d and quarters be q
<u>The value is $8.80 = 880¢, so:</u>
- 10d + 25q = 880 ⇒ 2d + 5q = 176
<u>If the dimes were quarters and the quarters were dimes, the coins' total value would be $7.30 or 730¢</u>
- 25d + 10q = 730 ⇒ 5d + 2q = 146
<u>Now we have 2 equations. Solving the system by elimination, subtract 5 times the second equation from twice the first equation:</u>
- 2(2d + 5q) - 5(5d + 2q) = 2(176) - 5(146)
- 4d - 25d = -378
- -21d = -378
- d = -378/-21
- d = 18
ANSWER: The distance between X (-3, -4) and Y (5, 5) is: 12.041594578792, or in a simpler version: 12
800 grams into ounces is 28.2, rounded to the nearest tenth.
