Answer:
s = 10k + 30
Step-by-step explanation:
Cost of Adults ticket = $10 per adult
Cost of Ticket = $6 per child
Number of adults = k
Number of Children = 5
s = Total cost
Total cost = (Cost per adult * number of adults) + (Cost per child * Number of children)
s = ($10 * k) + ($6 * 5)
s = $10k + $30
s = 10k + 30
Answer:
x = -1
Step-by-step explanation:
Start with adding 2 to -7
-7 + 2
=-5
Then divide by 5
-5/5
=-1
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
A negative number divided by positive is a negative quotient and vice versa.
So
5.7 / -2.2
-0.01 / 0.05
Are the ones with negative quotients
