Answer:
Each coins are quarters of <u>6</u>, nickels of <u>18</u> and the dimes of <u>9</u>.
Step-by-step explanation:
<u><em>There is a mistake in question.</em></u>
The question must be:
A collection of 33 coins having dimes quarters and nickels, <u>there are 3 times as many nickels as quarters, and one-half as many dimes as nickels</u>, all of the coins equal $3.30 how many coins of each kind are there?
Now, to find the number coins of each.
Let the quarters be 
.
Nickels be 
.
And the dimes be 
.
So, the total collection of coins are:
On adding the fractions we get:
Multiplying both sides by 2 we get:
Dividing both sides by 11 we get:
Thus, quarters = 6.
Nickels = 
Dimes = 
Therefore, each coins are quarters of 6, nickels of 18 and the dimes of 9.
The number of bottles in the full box by solving the equation is 12.
<h3>How to form an equation?</h3>
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of bottles in the full box = x
Initial bottles = 9
Bottles in 3 full box = 3x
Bottles in 2 box in which number of bottles is x - 1 = 2(x-1)
Now,
Total bottles in refrigerator is 67
So,
9 + 3x + 2(x - 1) = 67
9 + 3x + 2x - 2 = 67
5x = 60
x = 12
Hence "The number of bottles in the full box by solving the equation is 12".
For more about the equation,
brainly.com/question/10413253
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The cost of each duck is $ 7 and cost of each chicken is $ 12.
Step-by-step explanation:
Given,
5 chickens and 3 ducks are bought by $ 81
A chicken costs $ 5 more than a duck.
To find the cost of each duck and cost of each chicken.
Let,
The cost of each duck = x
The cost of each chicken = x+5
According to the problem,
5(x+5)+3x = 81
or, 5x+25+3x = 81
or, 8x = 81-25
or, 8x = 56
or, x = 7
Hence,
The cost of each duck = $ 7
The cost of each chicken = $ 7+5 = $ 12
To simplify and solve this equation we must follow PEMDAS.
P=Parentheses
E=Exponents
M=Multiplication (from left to right)
D=Division (from left to right)
A=Addition
S=Substraction
We begin the process.
10^3=1000
10^7=10000000
New equation looks like this:
7.2*1000/1.8*10000000
We then multiply
7.2*1000= 7200
7200/1.8=4000
4000*10000000= 40000000000
<em>So our final answer is 40000000000.</em>
Hope this helps!
P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.
Jaqleen unloads a truck in x hours and Marco takes 2x hours.
Working together (x*2x) / (x+2x) = 5 hours
2x^2 / 3x = 5 Multiplying both sides by 3x equals 2x^2 -15x = 0
x = 7.5 hours
So Jaqleen takes 7.5 hours and Marco takes 15 hours
Double-Check (7.5 * 15) / (7.5 + 15) = 112.5 / 22.5 equals
5 hours Correct!!
