Answer:
y=5/3 is the only real solution
Step-by-step explanation:
Solve for y over the real numbers:
11 y^2 - 19 y - 10 = -4 y^2
Add 4 y^2 to both sides:
15 y^2 - 19 y - 10 = 0
The left hand side factors into a product with two terms:
(3 y - 5) (5 y + 2) = 0
Split into two equations:
3 y - 5 = 0 or 5 y + 2 = 0
Add 5 to both sides:
3 y = 5 or 5 y + 2 = 0
Divide both sides by 3:
y = 5/3 or 5 y + 2 = 0
Subtract 2 from both sides:
y = 5/3 or 5 y = -2
Divide both sides by 5:
Answer: |
| y = 5/3 or y = -2/5
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18...
2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9.
1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6.
Put it together and TA-DA... Your answer is 1/18
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.
The possible values for n are 9, 10, 11, and 12.
Match the mean, median, mode, and range for the data set below. 2, 7, 8, 4, 8, 2, 5, 5, 7, 2
dusya [7]
Answer:
Mean - 5
Median - 5
Mode - 2
Range - 6
Step-by-step explanation:
Mean-
If you add 2 + 7 + 8 + 4 + 8 + 2+ 5+ 5+ 7 +2= 50
50 divided by 10 (the amount of numbers in the equation) = 5 for the mean
Median-
Put the numbers in order which is
2,2,2,4,5,5,7,7,8,8 and the number is the middle is 5
Mode-
The number that repeats the most is 2
Range-
The largest number is 8 and the smallest number is 2 so 8-2=6
Answer: 3/5
Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.
To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.
Now we put our new number over our old denominator and we get 5/3.
However, we're not done yet. We still need to find the reciprocal.
The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.
So if we switch 5/3, we get the proper fraction 3/5.
Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.