<span>Ratio!
Two different numbers are considered proportional if they have the same ratio.
Let’s have an example:
=> I the price of an apple is 2 dollars,
=> then the price of 10 apples are 20 dollar
=> the price of 100 apples are 200 dollars
=> the price of 150 apples are 300 dollars.
And so on…. As long as their values are related, they are proportional.
another example:
=> my hair grows 5 inches in 1 month
=> it grows 10 inches in 2 months</span>
Answer:
No solution.
Step-by-step explanation:
8x - 4 = 2(4x - 4)
8x - 4 = 8x - 8
-4 = -8
-4 ≠ -8
Answer:
B. 3.6 x 10^3
Step-by-step explanation:
(1.2 x 10^-2) x (3 x 10^5)
When we multiply terms with powers , we multiply the factors out front and add the exponents
a * 10^b * c* 10^d = ac * 10^(b+d)
(1.2 x 10^-2) x (3 x 10^5) = (1.2* 3) * 10^(-2+5)
= 3.6 * 10 ^3
Answer:
x=3.9 or 39/10 and y=3.13333 or 47/15
Step-by-step explanation:
Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:
6x-3y=14 and 3-2x+6y=14
Simplify the equations
6x-3y=14 and -2x+6y=11
Now, line the equations up and pick a variable (either x or y) to eliminate
6x-3y=14
-2x+6y=11
In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y
Multiply (6x-3y=14) by 2 to get:
12x-6y=28
Line the equations up and add or subtract the terms accordingly
12x-6y=28
-2x+6y=11
This becomes:
10x+0y=39
Isolate for x
x= 39/10 or x= 3.9
Now substitute the x value into either of the original equations
6x-3y=14
6(3.9)- 3y=14
Isolate for y
23.4-14=3y
3y= 9.4
y= 3.1333 (repeating) or y= 47/15
