Answer:
= 3.65.
Step-by-step explanation:
You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.
D + Q = 23
You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:
0.10*D + 0.25*Q = 3.65
That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.
So you have a system of linear equations:
D + Q = 23
0.10D + 0.25Q = 3.65
I'm going to multiply the bottom row by 100 to clear the decimals.
D + Q = 23
10D + 25Q = 365
Now I can multiply the top row by -10 to eliminate the D terms
-10D - 10Q = -230
10D + 25Q = 365
________________
0D + 15Q = 135
15Q = 135
Q = 9
Tom has 9 quarters.
If D + Q = 23, and Q = 9, then:
D + 9 = 23
D = 14
Tom has 14 dimes.
Always good to double check:
9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.
2.25 + 1.40
A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Step-by-step explanation:
Let,
Cost of 1 dozen doughnuts = x
Cost of 1 dozen croissants = y
According to given statement;
7x+3y = 53 Eqn 1
x+5y = 35 Eqn 2
Multiplying Eqn 2 by 7
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 32
Putting y=6 in Eqn 2
A dozen of doughnuts cost $5 and a dozen of croissants cost $6.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Step-by-step explanation:
solution file attached
Answer:
4.5 pounds
Step-by-step explanation:
Convert them both to improper equations.
2 3/4 = 11/4
1 3/4 = 7/4
Then add.
11/4 + 7/4 = 18/4
Then simplify.
18/4 = 4 2/4 = 4.5
The interior angle of all of them is 180 degrees
