Perpendicular line always have slopes that are negative reciprocals of one another. Mathematically,
m1*m2=-1
So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...
3y=6x ?3 (not sure what you wanted to type there)
anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.
So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:
y=-x/2 +b, we can now you the point given to solve for b
4=-2/2 +b
4=-1+b
b=5 so
y=-x/2 +5 or more neatly
y=(10-x)/2
We have an initial value of $43 and every hour the price of the reservation increases $8.70, then, the function that determinates the price for the meeting room is
The history club have a limit value that is $77.80, then, to find the amount of hours they can spend at the meeting room we just need to solve the following inequality:
Solving for t:
The maximum amount of hours they can spend in the meeting room is 4 hours.
Let's solve your equation step-by-step.<span><span><span>34</span><span>(<span>x+8</span>)</span></span>=9</span>Step 1: Simplify both sides of the equation.<span><span><span>34</span><span>(<span>x+8</span>)</span></span>=9</span><span><span><span><span>(<span>34</span>)</span><span>(x)</span></span>+<span><span>(<span>34</span>)</span><span>(8)</span></span></span>=9</span>(Distribute)<span><span><span><span>34</span>x</span>+6</span>=9</span>Step 2: Subtract 6 from both sides.<span><span><span><span><span>34</span>x</span>+6</span>−6</span>=<span>9−6</span></span><span><span><span>34</span>x</span>=3</span>Step 3: Multiply both sides by 4/3.<span><span><span>(<span>43</span>)</span>*<span>(<span><span>34</span>x</span>)</span></span>=<span><span>(<span>43</span>)</span>*<span>(3)</span></span></span><span>x=4</span>Answer:<span>x=4</span>
Hello!
So if each box has 14 favors, what we need to do is add until we have enough, or more than enough for each of the children that will be at the party to get two of them.
So to start, 14+14=28. There are 28 children going, but each child must have two favors, not one. So, we simply add on two more boxes. 28+14=42, 42+14=56. So, we need 56 favors for each child to get two.
You could multiply to make this problem faster, but adding works out easier in my head. Sorry to drag it out!
So to make it simple, you need four boxes of favors for each child to get two.
Hope this helps, have an awesome day!
Answer:
$7.25
Step-by-step explanation:
Total amount spent on the ticket = $40.75
Number of ticket purchased = 5
Processing fee per ticket = $0.90
Unknown:
Cost of each ticket = ?
Solution:
To solve this problem, we need to find the processing fee for the 5 tickets purchase;
Processing fee = number ticket x processing fee per ticket
Processing fee = 5 x 0.9 = $4.5
Now, the real cost a ticket = $40.75 - $4.5 = $36.25
So, cost per ticket is;
Cost = 
= $7.25
