Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
First, add up the parts of the ratio...
2+3+5=10
then divide the whole into individual parts...
25/10=2.5
then multiply the value of 1 part by the amount in the ratio...
2.5 x 2 =5
2.5 x 3 = 7.5
2.5 x 5 = 12.5
so the final ratio is 5kg:7.5kg:12.5kg
Hope this helps :)
The chance of picking a almond cookie the first time:
you have 6 cookies, 3 of them are almond
So the chance of taking an almond cookie is
The second time there are 5 cookies left, 2 of them are almond cookies
The chance of taking an almond cookie is
To know the probability of picking two almond cookies in a row, multiply the changes:
The chance of taking two almond cookies is 1/5
Fraction adding: Okay, so if you have two fractions with the same denominator like 2/3 and 1/3 then they are easily added. Just add the numerators together and then keep the denominator. Like this: 2/3 + 1/3 = 3/3 or 1 whole. Here is something for fractions with unlike denominators.
