Add 16.7m 4 times that should be the correct answer if not sorry
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
---------------------
20Q = 380
so
Q = 19
There are 19 quarters.
And since there are 51 coins in all, 51-19 = 32 nickels.
The ideal radius Alan must control is 
cm.
<h3>Define perimeter of circle.</h3>
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10
cm
We know that perimeter of a circle is 2r
Therefore 10 = 2r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2r = 10 - 1
r = 
r = 5 -
Maximum radius is given by
2r = 10 + 1
r = 
r = 5 +
The ideal radius Alan must control is cm.
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The angle subtended by the women voters are 100° more than the angle subtended by the men voters.
- The total number of voters are <u>10080 voters</u>
Reasons:
The angle subtended by the men on the pie chart = 130°
The number of women = 2800 + The number of men
Therefore;
Angle subtended by the women voters on the pie chart = 360° - 130° = 230°
The difference between the angle representing women and the angle
representing men = 230° - 130° = 100°
Therefore;
100° = 2800
Which by common ratios gives;
100 × Total number of voters = 2800 × 360
The total number of voters = <u>10080</u>
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Answer:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Step-by-step explanation:
