First we need to find the distance from G to A, or the length of segment GA
For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)
So,
EG + GA + AM + ME = perimeter
56 + x + 56 + 35 = 172
x+147 = 172
x+147-147 = 172-147 .... subtract 147 from both sides
x = 25
So segment GA is 25 inches
We'll use this to find the length of segment G'A' which corresponds to GA
The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below
(GA)/(G'A') = (EM)/(E'M')
which turns into this
25/y = 35/14
when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y
25/y = 35/14
25*14 = y*35 .... cross multiply
350 = 35y
35y = 350
35y/35 = 350/35 .... divide both sides by 35
y = 10
---------------------------------------------------
<h3>Final Answer: The length of G'A' is 10 inches</h3>
Answer:
3:4
Step-by-step explanation:
divide 9 by 3 and 12 by 3
Answer:
Step-by-step explanation:
I’m not too good with this but the answer should be 87.5
Suppose that your start a business manufacturing and selling luxury bean bag chairs. It will cost $4000 to get your business started. You also calculate that each luxury bean bag chair will cost you $50 to produce
1. write an equation for the total cost to manufacture n luxury bean bag chairs.
you decide to sell the luxury bean bag chairs for 62.50 each (revenue is the total money coming in from sales.)
2. write an equation for the total revenue made from selling n luxury bean bag chairs.
3. solve the system of equations algebraically
Answer:
Step-by-step explanation:
From the given question;
1.
Let assume that c1 to be the cost and n to be the number of bean bags produced.
amount used to start the business = $4000
thus;
The equation for the total cost to manufacture n luxury bean bag chairs is:
c₁ = 50 n + 4000
2.
Let c₂ be the total revenue made from selling ; then since 62.50 revenue is generated from each bag n sold
therefore ;
c₂ = 62.50 n
3.
c₁ = c₂
50 n + 4000 = 62.50 n
4000 = 62.50 n - 50 n
4000 = 12.50 n
n = 4000/12.50
n = 320
We can infer that in order to start making profit from the amount used tot start the business, you must have sold 320 bean bags.
If there is 8 ice cream sandwiched with 2 pints in each just multiply and it's 16 pints. A strategy you can use is the count on strategy for example -
2,4,6,8,10,12,14,16
