Answer: The GREATEST number of bookmarks that Logan can make = 31.
Step-by-step explanation:
GIven: Total petals = 95
Number of petals required for each bookmark = 3
Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)
= 95÷3
![=31\dfrac{2}{3}\ \ \ \approx31\text{ [Round to the nearest whole number.]}](https://tex.z-dn.net/?f=%3D31%5Cdfrac%7B2%7D%7B3%7D%5C%20%5C%20%5C%20%5Capprox31%5Ctext%7B%20%20%20%20%5BRound%20to%20the%20nearest%20whole%20number.%5D%7D)
i.e. The GREATEST number of bookmarks that Logan can make = 31.
Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
Answer:y=10
Step-by-step explanation:
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
