Replace a and b with their number value:
2a^2 + 5b = 2(3)^2 +5(4)
do the 3^2 first: 3^2 = 9
so now you have 2(9) +5(4)
now multiply both sets of numbers: 2 x 9 = 18 and 5 x 4 = 20
now add them:
18 +20 = 38
Write an equation system based on the problem
We can write the equation for "Twice the price in Japan minus five times the price in India is $20.60" as
∴ 2j - 5i = 20.6 <em>(first equation)</em>
We can write the equation for "Thirty cents less than three times the lowest price is thirty cents" as
∴ 3i - 0.30 = 0.30 <em>(second equation)</em>
Solve the equations
First, solve the second equation to find the price in India
3i - 0.3 = 0.3
3i = 0.3 + 0.3
3i = 0.6
i = 0.6/3
i = 0.2
Second, solve the first equation by subtitution of the value of i to the equation
2j - 5i = 20.6
2j - 5(0.2) = 20.6
2j - 1 = 20.6
2j = 20.6 + 1
2j = 21.6
j = 21.6/2
j = 10.8
The price in India is $0.20 and the price in Japan is $10.80
Answer:
(7) (3) and (9)
Step-by-step explanation:
Answer:
The first increase was of 60%.
Step-by-step explanation:
The initial value of the product is x.
The first increase was of y.
The second increase is of 25%, that is, 1.25.
The final price was double the original, so 2x.
This situation can be modeled by the following equation:
We want to find y.
Simplifying by x
After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.
Answer:
Step-by-step explanation:
