proportional because 1*5/3*5=5/15
Answer:
Step-by-step explanation:
1.5 + 1 13/16
O.5 = 1/2
(1+1)+(1/2 + 13/16)
2 + (8/16 + 13/16) = 2 21/16
3x+7=-x-1
move -x to the other side
sign changes from -x to +x
3x+x+7=-x+x-1
3x+x+7=-1
4x+7=-1
move 7 to the other side
sign changes from +7 to -7
4x+7-7=-1-7
4x=-8
Divide by 4 for both sides
4x/4=-8/4
Answer: x=-2
4g+3(-3+4g)=1-g
Distribute the 3(-3+4g)
4g-9+12g=1-g
Add 4g and 12g
16g-9=1-1g
Add 1g and 16g (variables always have an invisible 1 in front)
17g-9=1
Add 9 and 1
17g=10
Divide both sides by 17 and the answer is g=10/17
Answer:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
x = 11 hours
Step-by-step explanation:
Let
Number of hours = x
Total cost = y
Total cost = fixed cost + variable cost
The equations are:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
solve the equation to find for how many hours the total cost of the services is equal.
Equate total cost of both services
20 + 4x = 9 + 5x
Collect like terms
20 - 9 = 5x - 4x
11 = x
x = 11 hours
Check:
Happy paws
y = 20 + 4x
= 20 + 4(11)
= 20 + 44
= 64
Woof watchers
y = 9 + 5x
= 9 + 5(11)
= 9 + 55
= 64
