When you divide something by 3/4, there's no way something can decrease, unless the number is a fraction below 3/4.
Since in Step 2, they divided 27 by 3/4, but ended up with 20 1/4, that means that they got step 2 wrong, because 27 / (3/4) is equal to 27 * 4/3 = 36
(This is because dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.)
So therefore they got Step 2 wrong.
Answer:
10 cm
Step-by-step explanation:
If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.
However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:
DO / (DO + 20) = CO / (CO + 24)
Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.
Putting this into our proportion:
x / (x + 20) = (x + 2) / (x + 2 + 24)
x / (x + 20) = (x + 2) / (x + 26)
Cross multiply:
x (x + 26) = (x + 2) (x + 20)
Distribute:
x² + 26x = x² + 20x + 2x + 40
x² + 26x = x² + 22x + 40
4x = 40
x = 10
So the length of DO is 10 cm.
<span>You are selling the following items.
=> lemonade = $1.50
=> kettle corn = $3
=> hotdog = $2.50
=> p = number of people
Now, we need to write the expression of this given equation:
=> Amount = p(1.50 + 3 + 2.50) or Amount = p(1.50) + p(3) + p (2.50)
In where p is the number of people who will buy your food and will be
multiplied to the amount of each food you’re selling to be able to get the
total amount of money you will have.
</span>
Answer:
The equation in the standard form of the line through the given points is;
y = 3x - 17
Step-by-step explanation:
We start by getting the slope of the line;
m = (y2-y1)/(x2-x1)
m = (7-10)/(8-9) = -3/-1 = 3
The stands equation form is;
y = mx + b
m is slope, b is the y-intercept
so we have
y = 3x + b
To get b, we substitute the coordinates of any of the points
10 = 3(9) + b
10 = 27 + b
b = 10-27
b = -17
So the equation is;
y = 3x - 17
Answer: I think it is -0.4
Step-by-step explanation: