Step-by-step explanation:
3x + 5y = 50
x + 5y = 31
use substitution
x = 31-5y
3(31-5y) +5y = 50
93 -15y + 5y = 50
93 - 10y = 50
--10y = -43
y = 43/10 = $4.30 for kids
now solve for x
x + 5(4.30) = 31
x + 21.5 = 31
x = $9.5 for adults
Write it in y= mx+b form. Subtract 5x from both sides to get 4y = -5x + 100. Divide by 4 so the answer would be y= -5/4x + 25.
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
The final price (what it is selling for) is $796.40
The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.
We need to find the original price.
We write this as an equation
The original price *110% = final price
This is because the original price is itself (100%) added with 10%
Plug in the known final price
Original Price * 110% = 796.40
Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.
Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)
110% = 1.1
So it is now
Original price *1.1 = 796.40
Divide both sides by 1.1 to isolate our unknown, the original price
Original price = $724
Answer:
2x + 1 ≥ 11
Step-by-step explanation:
I believe this is it. Hope this helped!
