Answer:
always start at the origin and X go before Y
Answer:
Step-by-step explanation:
it's another one of those similar triangles
it's easier to see this one.
t /c = u / b
where
t = 7x + 3
c = 27
u = 35
b = 21
plug in the knowns
7x + 3 / 27 = 35 / 21
7x + 3 = 27 ( 35 / 21 )
7x + 3 = 9 ( 35 / 7 ) ( divided by 3 )
7x + 3 = 9 ( 5) ( 7 into 35 =5 )
7x + 3 = 45
7x = 45 - 3
7x = 42
x = 6
I checked it, the ratio is 1_2/3 :) for both, but you can check it too
Answer:
$102.96
Step-by-step explanation:
Lets take this one part at a time.
the dealership pays 12000 for the car, so they start at -12000 for how much money they have.
The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840
I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.
Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.
Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.
First 10% discount of the sales price is .9*15840 = 14,256
Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.
The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96
Answer:
110 pages
Step-by-step explanation:
The rate of 55 pg in 30 minutes is given in "minutes".
Thus,
we need to convert 1 hour to minutes.
We know 1 hour = 60 minutes
Note: 30 mins * 2 = 60 minutes
Logically, 30 minutes makes 55 pages, so 60 minutes (30 * 2) will make 55 * 2 = 110 pages
So, in 1 hour, it can print 110 pages (at this rate)
Answer:
1.7689 (rounded to 4 decimal places)
Step-by-step explanation:
Let the number we are seeking be "x", thus we can write the equation as:
Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:
![x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689](https://tex.z-dn.net/?f=x%5E%7B10%7D%3D300%5C%5C%5Csqrt%5B10%5D%7Bx%5E%7B10%7D%7D%20%3D%5Csqrt%5B10%5D%7B300%7D%20%5C%5Cx%3D%5Csqrt%5B10%5D%7B300%7D%20%5C%5Cx%3D1.7689)
hence, 1.7689 raised to 10th power will give us 300
