Answer:
1000 runners
Step-by-step explanation:
Take total number of runners to be -----------x
90% of x managed to complete the marathon= 90/100 × x =0.9x
30% of those who completed the marathon were men= 30% × 0.9x
=0.3×0.9x= 0.27x
=270 men completed the marathon; this means
0.27x=270--------------------------------find x by dividing both sides by 0.27
x= 270/0.27
x=1000 runners
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)
I’m not sure if I’m correct but I think it is 2^21
<h3>
Answer: 38.1</h3>
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Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
