Answer:Gcf=1.
Step-by-step explanation: The factors of 2 are: 1, 2
.
The factors of 6 are: 1, 2, 3, 6
.
The factors of 15 are: 1, 3, 5, 15.
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
32 x 0.05 ( because there are are 32 cans that are worth 5 cents each ) = 160 cents ($1.60)
Then:
10 x 0.20 ( 10 bottles that are worth 20 cents each ) = $2
Then plus them together
Answer = $3.60
Answer:
She will run a distance of 1095.78 miles per year.
Number of days in a year = 365.25
Number of days in a week = 7
Number of weeks in a year = 365.25/7 = 52.18 weeks.
Tomika plans to run 84 miles in 4 weeks.
Distance run by Tomika in 1 week = 84/4 = 21 miles.
Distance run by Tomika in 1 year = 21*52.18 = 1095.78 miles
So she will run a distance of 1095.78 miles per year.
Step-by-step explanation:
