Answer:
1. The supply equation is y=10x-50
2. the demand equation is y=-10x+700
3. The solution for the system of equations is (75/2,325). This means That the demand and supply will be the same when the price is 37.50$
4. Write the x-coordinates in 10's and y-coordinates in 100's. Put 2 points for supply as (10,50) and (20,150) and connect them. For demand, put 2 points as (10,600) and (20,500) then connect the 2 points.
5. A) The equilibrium point is (75/2,325)
B) this compares because you can solve a system of equations by graphing or substituting.
On Chris' birthday in 1992, he was half the age of his brother Joseph. On Chris' birthday in 1998, he was two-thirds the age of Joseph. How old will Chris be on his birthday in 2018?
Step 1: Form an equation.
We know that in 1992, Chris was HALF the age of Joseph. So Chris was x years old, while his brother was twice his age, or 2x. 6 years later, he was two-thirds the age of his brother. So, he was (x+6) while his brother was (2x+6).
So, we can form this:
(X+6)=(2/3)(2x+6)
Step 2: Simplify the equation. Distribute, Subtract, multiply
(X+6)=(2/3)(2x+6)
Distribute: X+6=(2/3)(2x)+(2/3)(6)
X+6=4/3x+4
Subtract:
X+6-4/3x=4/3x+4-4/3x
-1/3x+6=4
Subtract:
-1/3x+6-6=4-6
1/3x=-2
Multiply:
(3/-1) * (-1/3x)=(3/-1)*(-2)
X=6
This means in 1992, Chris was indeed 6 years old, while his brother was 12. 6 years later, Chris was 12 years old, while his brother was 18. (6/12=1/2; 12/18=2/3)
So, from 1992-2018=26 years.
In 1992 Chris was already 6.
26+6=32
In 2018, Chris is 32 years old, his brother is 6 years older, 38.
Chris is 32 years old.
~Hope this helps!
Answer:
2.45
Step-by-step explanation:
a number line is for both rational and irrational. However, since you put 2.46 (a rational number since it terminates) and 2.47 (also a rational number) a rational number between it is 2.45
<h3>
It is equivalent to 2a+2b</h3>
We use the distributive property.
Multiply the outer term 2 by each term inside ('a' and b)
2 times a = 2a
2 times b = 2b
We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.
Answer:
23814
Step-by-step explanation:
20% of 27 000 = 5 400
27 000 - 5400 = 21 600
10% of 26 460 = 2 646
26 460 - 2 646 = 23 814