Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.
The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.
5x + 30x + 3x + 6 = 462
38x + 6 = 462
38x = 456
x = 12.
So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
Answer: (3,2)
Step-by-step explanation: <u>Diagonal</u> is a line connecting two opposite points of a form. In parallelograms, there two diagonals and they bisect each other, i.e., the point where the diagonals meet divide them into two segments with the same measure. In short, diagonals meet at their midpoint.
The way to determine midpoint is given by
(x,y) = 
(x,y) = 
(x,y) = (3,2)
The coordinates where diagonals of parallelogram GHJK intersect are (3,2).
Answer:
Step-by-step explanation:
Let's look at what 10^100 and 100^10 are as numbers without exponents.
Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.
Let's use rules of exponents to understand what 100^10 is.
100^10 = (10^2)^10
To raise a power to a power, multiply powers.
100^10 = (10^2)^10 = 10^20
We know what 10^20 means. It is a 1 followed by 20 zeros.
A googol, 10^100, is a 1 followed by 100 zeros.
100^10 is the same as 10^20 or 1 followed by 20 zeros.
A googol is much, much greater than 100^10.
Y greater than or equal to -7
