Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
The answer to your question is: 3.7 hours
Step-by-step explanation:
Kam can make 72 cookies/ 3 hours
Madison can make 120 cookies/4 hours
Time to make 200 cookies together = ?
First, calculate the number of cookies make per hour
Kam 72 ---------------- 3
x ---------------- 1 hour
x = 72/3 = 24 cookies/h
Madison
120 ------------- 4 hours
x --------------- 1 hour
x = 120 / 4 = 30 cookies
Now we write and equation where "t" will be time
24t + 30t = 200 and solve it
54t = 200
t = 200/54
t = 3.7 hours
Answer:
Step-by-step explanation:
Five equivalent ratios:
7:8 = 14:16
= 21:24
= 70:80
= 49:56
= 35:40
B. x=10 and x=60. these are the points where she doesn't loses or gain money.
Hope this helped! Mark as Brainliest Please! :))
