You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Answer:
2.3456 x 10^-5
Step-by-step explanation:
Answer:
A. 6.681.060.239
Step-by-step explanation:
a1 = 7
r = (-8)
n= 11
S11 = 7((-8)^11 - 1)/ (-8-1)
= -7/9 ( -8,589,934,591)
= 6.681.060.239
Answer:
13
Step-by-step explanation:
Distance between (0, -2) and (5, 10)
√(5-0)^2 + (10-(-2))^2
√5^2 + 12^2
√25 + 144
√169
= 13
Answer:
The population of California is about 5 times the population of south Dakota
Step-by-step explanation:
Let
x ------> the population of California
y -----> the population of south Dakota
we have
x=4,000,000 people
y=800,000 people
Divide the population of California by the population of south Dakota, to find out how many times the population of South Dakota is the population of California
so
x/y
substitute
4,000,000/800,000=5
therefore
The population of California is about 5 times the population of south Dakota
