Answer:
$234
Step-by-step explanation:
First we need to define profits. Profits are Income minus Expenses:
P = I - E
We know profits are $414, so:
414 = I - E
We also can calculate income, as it is equal to price by the sales:
I = p*Q
Here she sold 90 kgs at $7.20 b kg. So:
I = p*Q = 7.20 * 90 = 648
So, replacing in profits equation:
414 = I - E
414 = 648 - E
If we sum E in both sides:
414 + E = 648 - E + E = 648
414 + E = 648
Now, subtracting 414 in both sides:
414 + E - 414 = 648 - 414
E = 234
So, her expenses are $234
Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r =
=
= - 3 , then
a₈ = 5 ×
= 5 × - 2187 = - 10935
Answer:
1 : 6 . . . . or 1/6
Step-by-step explanation:
We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...
drawing size : actual size = 10 inches : 60 inches = 1 : 6
This can also be written as the fraction 1/6.
So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
Answer:
15/4
Step-by-step explanation:
5 = 5/1
Then you just multiply across, 5*3=15 and 1*4=4 so you get 15/4.