Answer:
4.3 hours
Step-by-step explanation:
Let the number of hours Sally does a job = x
Let the number did hours Joan does a job be equal to y
Sally and Joan were able to dust the house in 3 hours together.
1/x + 1/y = 1/3
It takes Joan 10 hours to finish the same job alone.
Hence,
1/x + 1/10 = 1/3
1/x = 1/3 - 1/10
Least common dey = 30
1/x = 10 - 3/30
1/x = 7/30
Cross Multiply
x × 7 = 30
7x = 30
x = 30/7
x = 4.2857142857 hours
Approximately = 4.3 hours
Without help, it would take Sally 4.3 hours to finish the same job.
Answer:
1. 1/4
2. 1/2
Step-by-step explanation:
If there are equal numbers of males and females, we can simplify that by saying there's one male and one female for each coat color.
1. What's the probability that both are males?
Well, there's a 1/2 chances the light-colored coat bear is a male and there's also a 1/2 chances the dark-colored coat bear is a male. So, we can make this reference table:
<u>Light Dark</u>
<em>Male Male</em>
Male Female
Female Male
Female Female
As you can see, the probability that both of the spotted bears are males is 1/4 (1/2 * 1/2).
2. If the light-colored bear, what are the odds both are males?
If we know for sure the light-one is male, then there's 1/2 chances the other is too, refer to the table above to verify.
Answer:
g(x) = -|x|
Step-by-step explanation:
Are you familiar with the absolute value function y = |x|?
Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|.