Proper because improper would be 6 over 5 and mixes would be 1 and 1 over 6
Answer:
Sophie has 12.5 cards
Step-by-step explanation:
Let
x -----> number of cards Sophie has
y -----> number of cards Jackie has
we know that
x+y=30 -----> equation A
y=x+5 -----> equation B
Solve by substitution
Substitute equation B in equation A and solve for x
x+(x+5)=30
2x=30-5
x=12.5 cards
Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number
X=12
This is because you subtract 6 from both sides to get the x isolated.
So x=18-6
x=12 :)
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
5%
Step-by-step explanation:
Given that:
Theoretical probability = 50%
The experimental probability = number of desired outcome / number of trials
Hence, experimental probability = 45 / 100 = 0.45
0.45 = 0.45 * 100% = 45%
Percentage difference in theoretical and experimental probability :
Theoretical - experimental
50% - 45% = 5%