Answer:
961
Step-by-step explanation:
5 apples and 6 pears are to be distributed among 3 different people.
the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147
If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people
= 3^6 - 3
= 729 -3 = 726
Secondly calculate the number of ways 5 apples could be distributed among 3 people
3^5 = 243
Total = 726 + 243
= 961 ways
Hey there!
To start, the slope intercept equation format is y=mx+b where m=the slope and b=the y-intercept.
Because you appear to have a coordinate set to plug in for x and y as well as a slope of 4, you can plug your known values into the slope intercept equation:
y=mx+b
coordinate: (1,6)
y=6 (the y value of the coordinate point)
x=1 (the x value of the coordinate point)
m=4 (the slope of the equation, given)
6=4(1)+b
Because b, your y-intercept is your only missing value, you can simplify your equation and solve for b:
6=4(1)+b
6=4+b
b=2
Now that you have your two needed values, your slope and your y-intercept, your final equation should be y=4x+2, or the third choice.
Hope this helps and I hope you have a wonderful rest of your day! :)
Sarah has 2 3/4 more meters of rope.
Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.
