The system of equations is
n + d = 27
n + 5d = 55
Step-by-step explanation:
The given is:
- Kiran has 27 nickels and quarters in his pocket
- They worth a total of $2.75
- We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation
∵ The number of nickles is n
∵ The number of quarters is d
∵ There are 27 nickles and quarters
∴ n + d = 27 ⇒ (1)
∵ 1 nickel = 5 cents
∵ 1 quarter = 25 cents
- Multiply n by 5 and d by 25 to find their value
∴ They worth = 5n + 25d
∵ They worth a total of $2.75
- Chang the dollar to cent
∵ 1 dollar = 100 cents
∴ $2.75 = 2.75 × 100 = 275 cents
- Equate their value by 275
∴ 5n + 25d = 275
- Simplify it by divide each term by 5
∴ n + 5d = 55 ⇒ (2)
The system of equations is
n + d = 27
n + 5d = 55
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
False
Step-by-step:
The hypotenuse of the triangle is the side opposite to the right angle. The legs are the other two sides of the triangle. Since AC is on the opposite side of the right angle, it is the hypotenuse and therefore not a leg. Hope this helps!
Answer:
s=√7-1
s=-(√7+1)
Step-by-step explanation:
s^2+2s-6=0
or,s^2+2.s.1+1^2=6+1^2
or,(s+1)^2=6+1
or,(s+1)^2=7
or,(s+1)^2=(±√7)^2
or,s+1=±√7
either,
s=√7-1
or,
s=-(√7+1)
Answer:
600 ft
Step-by-step explanation:
30x2=60
100-60=40
40/2=20
30x20=600
Answer:
y=1/2x+4
Step-by-step explanation:
Because I took the quiz and got it right ;)
