Y would be 18 because 260 * .2 = 52, so 90 * .2 = 18.
Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
Answer:
The ratio between Rafael's sticks and Ricardo's is 0.5834
Step-by-step explanation:
In order to calculate the ratio between Rafael's ice cream sticks and Ricardo's we must take the total amount rafael has and divide it by the total amount Rafael has. Therefore this is done below:
ratio = Rafael's sticks / Ricardo's sticks
ratio = 35 / 60
ratio = 0.5834
The ratio between Rafael's sticks and Ricardo's is 0.5834
Answer:
(a) TRUE
(b) TRUE
(c) FALSE
(d) TRUE
Step-by-step explanation:
" The "opposite" of any number is also known as it's " additive inverse" i.e. for any number 'a' the additive inverse is 'a' ".
(a) TRUE
Since let us consider any negative number '-5' then it's opposite is '5' since (-5)+5=0
(b) TRUE
this could be seen clearly from the number line.
(c) FALSE
this statement is false since we can take example of zero.
the opposite of zero is 0 but 0×0≠1.
(d) TRUE
since 0-0=0.Step-by-step explanation: