Answer:
9.5/8 = 1.1875
Step-by-step explanation:
4^(3m-1) • 32^(2m-3) = 4
4^(3m-1) • (4^2.5)^(2m-3) = 4
Law of exponents
3m-1 + 2.5(2m-3) = 1
3m - 1 + 5m - 7.5 = 1
8m = 1 + 1 + 7.5
8m = 9.5
m = 9.5/8
0.77777778 is 7/9 as a decimal
We are going to assume that the spinner has 11 parts.
Answer:
Probability of success = 18.17%
Probability of failure = 81.83%
Step-by-step explanation:
Please kindly check the attached file for explanation.
Answer:
Step-by-step explanation:
Let x represent the total number of red and blue beads
Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is
40/100 × x = 0.4x
The number of blue beads would be
x - 0.4x = 0.6x
When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that
0.6x - 50 = 0.6x - 0.6x/3
0.6x - 50 = 0.6x - 0.2x = 0.4x
0.6x - 0.4x = 50
0.2x = 50
x = 50/0.2 = 250
The number of blue beads that Angie had initially is
0.6 × 250 = 150
The number of blue beads that Angie has left is
150 - 50 = 100 beads
The number of beads that Angie has in the end is
250 - 50 = 200 beads
