Answer:
90
Step-by-step explanation:
Quarters , q = 25 cent
Nickel, n = 5 cent
3 times as many nickels as quarters;
n = 3q
Total value of coins = $12
n + q = $12
0.05n + 0.25q = 12
0.05(3q) + 0.25q = 12
0.15q + 0.25q = 12
0.40q = 12
q = 12 / 0.40
q = 30
n = 3q
n = 3(30)
n = 90
90 nickels
Answer:
The slope is 5
That means that Aaron is going 5 miles/minute
Step-by-step explanation:
100/20=5
rise/run=slope
6x is the correct answer.
2/3 + 1/2 is 7/6
Hope this helps!
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
