Answer:
Step-by-step explanation:
The total number of magnets that Lisa and Bill made for the craft fair is 60.
They sold about 55% of the magnets. The number of magnets that they sold would be about
55/100 × 60 = 0.55 × 60 = 33
If Lisa says that they sold about 30 magnets, she is correct because if we round off 33 to the nearest ten, it would be 30 magnets.
If Bill says that they sold about 36 magnets, he is wrong because if we round off 36 to the nearest ten, it would be 40 magnets.
Answer:
G. 7
Explanation:
The longest side must be less than the sum of the two shorter sides.
The difference between the longest and shortest sides must be less than the middle side.
l+a = 11
l < (a + 4) ... l < (11 - l + 4)
... 2 l < 15 ... l < 7.5
--Variables
l = 7 (Longest Side/Answer)
a = 4 (Other Missing Length)
m = 4 (Side Given)
Answer:
D) 0.500
Step-by-step explanation:
Blue Socks = 6
Grey socks = 10
Probabilities to find :
Since there are a total of 16 socks, the probability of both socks being blue is
Probability(blue) = 
The probability of both being grey is
Probability(grey) =
(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)
The probability two socks match:
Probability(blue) + Probability(grey) =
+
=
=
= 0.500
Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

You know that A'B'=6, then the scale factor of dilation can be calculated with:

Substituting values, you get:

This matches with the option C.