Step-by-step explanation:
Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.
x / 130 cups punch = 10 cups lemon-lime / 15 cups punch
x = 86.67 cups lemon-lime soda
y / 130 cups punch = 5 cups orange soda / 15 cups punch
y = 43.33 cups orange soda
x / 65 cups punch = 10 cups lemon-lime / 15 cups punch
x = 43.33 cups lemon-lime soda
y / 65 cups punch = 5 cups orange soda / 15 cups punch
y = 21.67 cups orange soda
x / 195 cups punch = 10 cups lemon-lime / 15 cups punch
x = 130 cups lemon-lime soda
y / 195 cups punch = 5 cups orange soda / 15 cups punch
y = 65 cups orange soda
11. Similar 1/2
12. Similar 2
13. no
14. no
15. No, they are not congruent because rectangles do not have equal sides, so the length of one triangle could be longer than the other and the width ozone can be shorter than the other.
16. Yes
Answer:
47 rounds and Eve wins.
Step-by-step explanation:
If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.
Answer:
16
Step-by-step explanation:
Start by adding 9 to both sides, obtaining: √(x + 9) = 5.
Square both sides, obtaining: x + 9 = 25.
Subtract 9 from both sides: x = 16
Note that √(16+9) - 9 = -4, as required.
First you have to convert the numbers to the same units. Either m to cm or cm to m.
To go from meters to centimeters you multiply the number by 100.
7*100=700cm
Now you have 700cm/250cm. This needs simplified
I divided each number by 50 to get 14 and 5
14cm/5cm or 14cm:5cm
