Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)
1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2
Now, we calculate the solpe point form.
(4,10)
m=1/2
y-y₀=m(x-x₀)
y-10=(1/2)(x-4)
we make the standard form
y-10=x/2 - 2
Lowest common multiple=2
2y-20=x-4
-x+2y=-4+20
-x+2y=16
Answer: -x+2y=16
452 adult tickets were sold.
774 student tickets were sold.
Answer:
72
Step-by-step explanation:
words per minutes= 1800÷25=72
Answer:
The correct answer is 149.00.
Step-by-step explanation:
Part = Percent • Whole
Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of <em>that</em> and add this to the price.
Solve:
105 • 0.65 = 68.25 Find 65% of 105
105 + 68.25 = 173.25 Add the markup to the price
173.25 • 0.20 = 34.65 Find the discount of the new price
173.25 - 34.65 = 138.60 Subtract discount from price
138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)
<u>138.60 + 10.395 = </u><u>148.995</u><u> Add sales tax to new price (Or </u><u>149</u><u>)</u>
Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.
Hope this helps.
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
Answer:
Fraction of the original board left = 
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off
of a wooden board.
Length of the board left = l - 
=
feet
He saws off
of the remaining board,
Board left = ![(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B5%7D%29l-%5B%28%5Cfrac%7B4%7D%7B5%7D%29l%5Ctimes%20%28%5Cfrac%7B3%7D%7B4%7D%29%5D)
= 
=
feet
He finally saws off
rd of the remaining board.
Board left = ![\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dl-%5B%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%5Dl)
= 
=
feet
Fraction of the original board left = 
= 