Answer:
500 flags each
Step-by-step explanation:
If 40 schools receive 250 each, then in total, that's 10,000
25,000 - 10,000 = 15,000. There are 30 schools remaining, so we divide. 15,000 / 30 = 500, so...
40 schools get 250 flags each, and the other 30 schools get 500 flags each.
Let our basis be worth 1 dollar. A nickel's worth is $0.05. In order to come up with $1, the number of nickels should be:
Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm
Let's do the same for the quarters. Each quarter is worth $0.25.
Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm
Find the ratio of the two:
39 mm/7 mm = 5.57
Therefore, a stack of nickels is 5.57 times thicker than a stack of quarters worth one dollar.
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
Answer:
2.5, 6 and 6.5 inches.
Step-by-step explanation:
5 + 12 + 13 = 30
So the shortest side = 5/30 * 15 = 1/6 * 15
= 2.5 inches.
The longest = 13 / 30 * 15 = 13/2
= 6.5 inches,
and the third = 12/30 * 15
= 6 inches.
