Answer:the cost of renting one movie is $1.5
the cost of renting one video game is $5.2
Step-by-step explanation:
Let x represent the cost of renting one movie.
Let y represent the cost of renting one video game. One month melissa rented 12 movies and 2 video games for a total of $29. This means that
12x + 2y = 29 - - - - - - -1
The next month she rented 3 movies and 5 video games for a total of 32$. This means that
3x + 5y = 32 - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 2, it becomes
60x + 10y = 145
6x + 10y = 64
Subtracting,
54x = 81
x = 81/54 = 1.5
Substituting x = 1.5 into equation 2, it becomes
3x + 5y = 32
3×2 + 5y = 32
5y = 32 - 6 = 26
y = 26/5 = 5.2
Answer:
224
Step-by-step explanation:
7 × (3x + x) = 7 × [3(8) + 8]
= 7 × (24 + 8)
= 7 × 32
= 224
Answer:
Explanation:
-4y - 3x = -11 (1)
x - 2y = 17 (2)
x = 17 + 2y
Substitute x value in (1)
-4y - 3(17 + 2y) = -11
-4y - 51 - 6y = -11
-10y - 51 = -11
-10y = -11 + 51
-10y = 40
y = 40/-10
y = -4
Substitute the y value in (2)
x - 2(-4) = 17
x + 8 = 17
x = 17 - 8
x = 9
Therefore, x = 9 and y = -4
Answer:
x = 14
Step-by-step explanation:
y and x have a proportional relationship. That means that I can multiply them both or divide them both by the same thing and still stay proportional.
when y = 15, x = 6
when y = 5, x = 2 (divided by 3)
when y = 35, x = 14 (multiplied by 7)
Hey there! :)
Answer:
r ≈ 4.38 cm.
Step-by-step explanation:
Find the radius by working backwards using the equation A = πr²:
Given:
A = 60.24 cm²
π = 3.14
Plug these into the equation:
60.24 = 3.14r²
Divide both sides by 3.14:
19.185 = r²
Take the square root of both sides:
r ≈ 4.38 cm.