Answer:
Answer:
3
×
3
×
4
×
2
=
72
Explanation:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
.0075 is simplest... or .0075/1 if it needs to be a fraction i guess
Multiply 6 by 2 and add 6cm. the radius is half of the diameter so just multiply by two and add the number.
Answer:
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Up to and after 45 minutes, the barrel is empty of water.
Step-by-step explanation:
#2.)
minutes: 5, 10, 15, 20
water(gal): 16, 14, 12, 10
Find slope: slope m = (14 - 16)/(10 - 5) = -2/5
y - 10 = (-2/5)*(x - 20)
y - 10 = (-2/5)* x + 8
y = (-2/5)*x + 18
rate of change slope means that for every minute 2/5 gallons of water is lost
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Answer:
QR=RS=QS=29
Step-by-step explanation:
Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.
Also, from the given statement, we have
QR=2x-7, RS=5x-61 and QS=11+X
Now, As all the sides of the triangle are equal, therefore
QR=RS=QS
⇒QR=RS
⇒2x-7=5x-61
⇒-7+61=5x-2x
⇒54=3x
⇒x=18
Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.
