2x-7=29
"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together,
-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)
Answer:
x = 10
Step-by-step explanation:
Okay, let's solve :)
So first we have to distribute on the left side(it doesn't matter which side FYI)
When we do, we have :
10x + 30 = -4(-5-2x)
Now we distribute on the right side! Remember, negative * negative = positive.
10x + 30 = 20 + 8x + 3x
Let's simplify on the right side to
10x + 30 = 20 + 11x
Now, let's subtract 10x on both sides to get
x + 20 = 30(i simply flipped the equation)
Subtract 20 on both sides to get!
x = 10!
Answer: A 18 1/5 - 22 2/5 - 40 1/5
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570

We can isolate "x" on the second equation, we have:

Applying this value on the first equation:
![12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20](https://tex.z-dn.net/?f=12%5B%5Cfrac%7B570%20-%2011y%7D%7B7%7D%5D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%7D%7B7%7D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%20%2B%2063y%7D%7B7%7D%20%3D%20780%5C%5C%206840%20-%20132y%20%2B%2063y%20%3D%205460%5C%5C6840%20-%2069y%20%3D%205460%5C%5C69y%20%3D%201380%5C%5Cy%20%3D%2020)
Applying the value of "y" we found on the "x" equation above, we have:
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Answer: Second Option

Step-by-step explanation:
We are evaluating aarco lengths
The formula for the arc length is:

We want to know what is the arc length for a radius of r = 8
Then we substitute r = 8 in the equation and solve


The correct answer is the second option