X= 45 degrees The angle is 135 degrees
Answer:
A. pi < 4/3 - False (pi = ~3.14 > 3 = 9/3 >4/3)
B. 4/3 < sqrt(8) - True (4/3 < 6/3 = 2 < 2sqrt(2) = sqrt(8))
C. pi < sqrt(8) - False (pi = ~3.14 > 3 > 2sqrt2 = 8)
D. sqrt(8) < 4/3 - False (4/3 < 6/3 = 2 < 2sqrt(2) = sqrt(8))
The probability of you being on Mars right now is very slim, because no one that we know of currently lives on Mars.
Answer:
13. 15
14. 3
Step-by-step explanation:
Translate words into an equation by taking apart sections. Then isolate the variable.
13. 27 is 12 more than a number x
"27" 27
"is" =
"12 more than a number x" x + 12
27 = x + 12
27 - 12 = x + 12 - 12 Subtract 12 from both sides. "x" will be isolated (alone).
15 = x Answer
x = 15 Writing variable on the left side is standrad
14. The difference of a number p and -9 is 12
"The difference of a number p and -9" |p - (-9)|
"is" =
"12" 12
|p - (-9)| = 12 Subtracting a negative number becomes adding
|p + 9| = 12
|p + 9 - 9| = 12 - 9 Subtract 9 from both sides
p = 3 The | | can be worked around, it just keeps "p" positive.
Answer: There are 62 tricycles in the shop.
Step-by-step explanation:
Given: Number of wheels in a bicycle = 2
Number of wheels in a tricycle = 3
Let x = Number of bicycles , y = Number of tricycles.
As per given , we have
x+y =120 (i)
2x+3y=302 (ii)
Multiplying 2 on both sides of (i)
2x+2y=240 (iii)
Subtract (iii) from (ii) , we get
y= 62
Put value of y in (i) , we get
![x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58](https://tex.z-dn.net/?f=x%2B62%3D120%5C%5C%5C%5C%5CRightarrow%5C%20x%3D120-62%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%2058)
Hence, there are 58 bicycles and 62 tricycles in the shop.