Answer:
<h2>
y = -¹/₂
x + 4 </h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂
(x - 2)
So:
y - 3 = -¹/₂
x + 1 {add 3 to both sides}
y = -¹/₂
x + 4 ← the slope-intercept form of the equation
To solve a proportion, you can either use cross products or basic multiplication.
To do cross products, you would multiply 17 (1st numerator) by 6 (2nd denominator).
Do the same with the other diagonal angle, 3 times y.
You'll end up with 3y = 102.
To solve for y, you divide both sides by 3.
102 ÷ 3 = 34
y = 34
The other way you could solve this is to see that 6 is 2 times as large as 3, so you would multiply 17 by 2 to get an equal proportion.
3 × 2 = 6
17 × 2 = 34
Your final answer is y = 34. Hope this helps! :)
Answer:
Step-by-step explanation:
<em>Since equations are not listed, i will simply figure out the correct answer.</em>
<em />
Profit is Income MINUS Cost.
The cost is a fixed cost of 2,100 per month.
Also a variable cost of 70 per unit (x), if x units sold, then variable cost would be "70x"
Total Cost = 2100 + 70x
Now, the income is from sales of each unit. Each unit sells for $84 and if x units sold, company's income would be:
84x
So, profit will be:
Profit = Income - Cost
Profit = 84x - (2100 + 70x)
Profit = 84x - 2100 - 70x
Profit = 14x - 2100
We can write the equation as:
Answer is
195
or if you actually mean a tenth it would be
100
For the living room one, you have an 11' wall, & a 2' 6" shelf.
First, we'll divide the length of both in half:
5' 6" wall, 1' 3" shelf
Now, subtract the two:
4' 3"
That's how far away the edge of the shelf needs to be from either corner of the wall to be centered.
For the second one:
We need to get all these numbers into the same formatting. I say we go fraction.
First guy got 13 out of 18
Second guy got .7 (repeating)
Third guy got 5/6
Ok, first, we'll turn .7 repeating into a fraction. This won't always work, because not all decimals will turn into a nice fraction. But this one will.
.7 (repeating) = 7/9
So we have:
13/18
7/9
5/6
Now, we can't compare these quite yet. They all need to have the same denominator. So, what's the LCM of the three denominators? 18, right?
The first one can be left alone, since it has a denominator of 18 already. The second one: multiply both numbers by 2, and we get 14/18. For the third: multiply everything by 3, and we get 15/18.
NOW let's compare them:
Jon: 13/18
Jim: 14/18
Joe: 15/18
It's now clear that Joe got the highest score.
