If there is no equation that means that x could equal anything.
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78
Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
Answer:
First table
Step-by-step explanation:
We have to find the set of value which could be from a direct proportion.
We know that
Direct proportion :
When x is directly proportional to y
Where k=Proportionality constant
K remain constant when x and y are in direct proportion
From first table
When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.
From second table
not ]define
It is not direct proportion because k does not remain constant.
From third table
It is not direct proportion because k does not remain constant.
