y+ 2x - 3
Oy+ 2x - 9
Oy - 2x+3
Oy--2x9
Answer:
y=-2x+3
Step-by-step explanation:
Betty has $17 and Ann has $43.
This problem is a basic algebraic equation. Let's denote Betty's amount as x. From the problem information, we know that Ann's amount is twice Betty's plus $9, so we can denote it as 2x + $9. It's also told in the problem that together they have $60, so we can form the equation: x (Betty's money) + 2x + $9 (Ann's money) = $60.
Solving this equation, we combine like terms, which gives us 3x + $9 = $60. Subtract $9 from both sides to get 3x = $51. Divide each side by 3, we get x = $17. So, Betty has $17. We substitute x = $17 into the equation 2x + $9 to find Ann's money, which gives us 2*$17 + $9 = $43. So, Ann has $43.
#SPJ11
From a list of ten books, 210 ways to select a group of 4 books.
A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.
The number of ways to select a group of 4 books from a list of 10 books can be calculated using the combination formula:
nCr = n! / (r! x (n-r)!)
Where n is the total number of items (in this case, 10 books) and r is the number of items to be selected (in this case, 4 books).
Plugging in the values, we get:
10C4 = 10! / (4! x (10-4)!)
= 10! / (4! x 6!)
= (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)
= 210
Therefore, there are 210 ways to select a group of 4 books from a list of 10 books.
To learn more about the combination;
#SPJ3
First you have all ten books, but then every time after, you loose one because you can't put the same book in the group twice.
10 * 9 * 8 * 7 = 5040 groups
Answer;
The exact length is 2√5 units. You can also use a calculator to get an approximate value, which is about 4.47 units
5m+6t=-3
Solve by Elimination