Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
1. P(A) c. The probability that event A occurs.
2. P (A ∩ B) a.<span>The probability that both event A and event B occur.
3. </span>P (A ∪ B) <span>d. The probability that either event A or event B occurs
</span>4. 1 - P (A ∩ B) e. <span>The probability that both events A and B do not occur together, but either may occur by itself
</span>5. 1 - P (A ∪ B) f. <span>The probability that neither event A or event B occurs
</span>6. P (A | B) b.<span>The probability that event A occurs given the fact that event B occurs</span>
The slope of the first line is
.
To be perpendicular the slope of the second line must be the negative reciprocal of the first:
Use the slope-intercept formula:
Substitute known values:
Solve for
:
Complete the formula:
If Ayana gave 1/5 of the peanuts to her sister and then 3/4 of what remained to another sister, she kept 1/5 for herself. It's because:
5/5 is what she got at the beginning
5/5 - 1/5 = 4/5 is what she gave to one sister
3/4 of what remained is 3/4 * 4/5 = 12/20 = 3/5 for another sister
So now 4/5 - 3/5 = 1/5 is what she kept for herself.
Answer:
93
Step-by-step explanation:
So, you know the angles of a triangle added together is 180.
180-52-35=93
