Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
The most common units of distance In the metric system of measurement, are millimeters, centimeters, meters, and kilometers.
All the angles must add to 180degrees in a triangle.
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
Hope this helps!
Answer:
6748'
Step-by-step explanation:
The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.
a^2 = b^2 +c^2 -2bc·cos(A)
a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)
a^2 = 45,535,553.83
a ≈ 6748.004
The longer diagonal is about 6758 feet long.
well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.
