1/5 because there are 7 numbers divisible by 5 from 1 to 35. 5,10, 15, 20,25,30,35, and out of those there are 35 cards, 7 out of 35 or 7/5 can be simplified to 1/5.
Answer:
distance moved by kayaker is 54m
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
7 worms, 3 beetles, 2 lizards
<span>I found this by first doing the calculations for the number of legs (26). First, I added the legs for the 3 beetles together to get 18 legs. Then I added the legs for 2 lizards (8) to the beetles’ legs to get 26 legs in total.To find the number of heads I added the number of lizard heads (2) and beetles heads (3) to get five heads. Then I added the 7 worm’s heads to the lizard and beetles heads to get 12 heads in total.</span>
Equation 1) 4x + 2y = 8
Equation 2) 16x - y = 14
Multiply all of equation 2 by 2.
2) 2(16x - y = 14)
2) 32x - 2y = 28
1) 4x + 2y = 8
Add equations together.
36x = 36
Divide both sides by 36.
x = 1
Plug in 1 for x in the first equation.
4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
Subtract 4 from both sides.
2y = 8 - 4
2y = 4
Divide both sides by 2.
y = 4/2
y = 2
So, x = 1, y = 2
~Hope I helped!~
