Answer:
61 Inches
Step-by-step explanation:
<em>A foot is 12 inches. </em>
1. Multiply 12 by 5.
2. Add the extra inch.
<em>The stack of books is 61 inches high.</em>
Answer:
man's age = 54
daughter's age = 18
Step-by-step explanation:
x = man's age
y = daughters age
x = 3y
x - y = 36
substitute for x:
3y -y = 36
2y = 36
y = 18
x = 54
Suppose that a "code" consists of 4 digits, none of which are repeated. (a digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9) h
zubka84 [21]
The answer is 5040.
This is permutation without the repetition:
P = n!/(n - r)!
n - the number of choices
r - the number of chosen
We have:
n = 10
r = 4
P = 10!/(10 - 4)!
= 10!/6!
= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
= 10 * 9 * 8 * 7
= 5040
Answer:
y = (2/5)x + 2
Step-by-step explanation:
The given equation y = (2/5)x - 2 is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:
4 = (2/5)(5) + C, or
4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.
9514 1404 393
Answer:
√24 ≈ 4.90
Step-by-step explanation:
The square root can be estimated using a linear interpolation between the perfect squares on either side of the number of interest.
4² = 16
5² = 25
So, √24 can be estimated to be ...
(24 -16)/(25 -16) +4 = 8/9 +4 = 44/9 ≈ 4.8888...
This estimate can be refined by doing one iteration of the Babylonian method. That averages the current guess with the value obtained by dividing 24 by that guess.
√24 ≈ (44/9 +24(9/44))/2 = 4 89/99 ≈ 4.898989...
√24 ≈ 4.90
_____
A calculator gives the root as approximately 4.89897948557. Rounded to hundredths, that is 4.90.
