Need help IN MATH ASAP
1 answer:
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see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
Answer:
There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.
All coins in the piggy bank worth $91.
Step-by-step explanation:
Please consider the complete question:
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?
Let n, d, q represent number of nickles, dimes and quarters respectively.
For every 2 nickels there are 3 dimes. We can represent this information in an equation as:
or
For every 2 dimes there are 5 quarters. We can represent this information in an equation as:
or
There are 500 coins total. We can represent this information in an equation as:
We will use substitution method to solve our given system.
Upon substituting equation (1) and equation (2) in equation (3), we will get:
Multiply the equation by 6:
Therefore, there are 120 dimes in the piggy bank.
Upon substituting in equation (1), we will get:
Therefore, there are 80 nickels in the piggy bank.
Upon substituting in equation (2), we will get:
Therefore, there are 300 quarters in the piggy bank.
Now, we need to find the value of all coins.
We know 1 quarter is worth $0.25, so 300 quarters will be worth .
We know 1 dime is worth $0.10, so 120 dimes will be worth .
We know 1 nickel is worth $0.05, so 80 nickels will be worth .
Therefore, all coins in the piggy bank worth $91.