Least to greatest: 5 10/11 , 5.822 , 5.84, 117/20.
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
Answer:
3.8
Step-by-step explanation:
Answer:
48 cookies were sold in total.
Step-by-step explanation:
5:1 is the ratio of raisin cookies to oatmeal cookies, and 40 raisin cookies were sold. Meaning, 40:?.
To find the number of oatmeal cookies you divide 40 by 5, which gets 8. This means that the original ratio is multiplied by 8 to get the current ratio for the amount if cookies. 5(8) : 1(8) = 40:8. There are 40 raisin cookies and 8 oatmeal cookies. 40+8=48. There were 48 cookies sold in total.
Simplify the following:
sqrt(5) - 16 + sqrt(15) - 8
Grouping like terms, sqrt(5) - 16 + sqrt(15) - 8 = sqrt(15) + sqrt(5) + (-16 - 8):
sqrt(15) + sqrt(5) + (-16 - 8)
-16 - 8 = -24:
Answer: sqrt(15) + sqrt(5) + -24
