If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)
We also know something about Q and N.
[2] Q + N = 51
So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255
Now we have two equations, and the second one can be subtracted from the first.
25Q + 5N = 635
-(5Q + 5N) = -255
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20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
So you know the slope is 2/3. We can write the equation y=mx+b and plug in the value we know to get y=(2/3)x+b. Since the line goes through the point, (-5,6) our equation must be true when the x and y value are plugged into the equation. We get (6)=(2/3)(-5)+b. Solving for b, we get 6=(-10/3)+b then b=28/3. This means our formula is y=(2/3)x+28/3
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A 9.5-inch-diameter spherical in the shape of a strange orb is present. 3591.36 m3 of volume and surface
<h3>Explain about the Radius?</h3>
The radius of a circle is the separation between any two points on its circumference. R or r is typically used to indicate it.
The diameter of a circle cuts through the centre whereas the radius extends from the centre to the edges of the circle. The diameter of a circle effectively divides the shape in two.
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The radius of a circle is the distance from the center to any point on the edge. The radius is equal to the diameter in half, or 2r=d2 r=d.
V=4 \3πr³
= 4/3 π 9.5³
=3591.36
To learn more about Radius refer to:
brainly.com/question/390660
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Answer:
Fourth and fifth ones are right
Step-by-step explanation:
9514 1404 393
Answer:
50 ft
Step-by-step explanation:
The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.
In this geometry, that means the length of the escalator is 2 times its height, so is ...
x = 2(25 ft)
x = 50 ft . . . . . distance a person travels
