Answer:
k=2
Step-by-step explanation:
7[k+8]=70
First distribute the 7 into the k+8
7k+56=70
Then subtract the 56 on both sides since we want to isolate the variable
7k=14
Lastly divide each side by 7 to get the variable by itself and its value
k=2
We can check this by plugging 2 into the equation. We substitute for 2 in place of k.
7[2+8]=70
First do inside the brackets
7[10]=70
Next multiply
70=70
The equation is true so we know for sure that 2=k
Hi!
There might be different variations into how anyone would approach this problem but this is by far an easy way for me.
In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.
You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.
When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.
(<em>This is how you do cross multiplication.)</em>
You should get something like this:
3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.
9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.
36=15y Isolate y and divide it by 15.
y=2.4
I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.
I hope this helped!
3)
fixed cost =$ 99
variable cost per hour = $ 19
total cost can be given as
t = 99 + 19h
where h is number of hours vehicle used.
4) weekend daily cost is $ 29.99
total day she rented = friday + saturday + sunday = 3 days
so total rent = 29.99 × 3 = $ 89.97
A. (317.5 km/h) * (3.15) = 1,000.125 km
