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Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?
1 answer:
Answer:
Number of dimes = 28
Step-by-step explanation:
Given that:
Worth of coins = $6.30 = 6.30 * 100 = 630 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
x = 2y Eqn 1
10x+25y = 630 Eqn 2
Putting x = 2y in Eqn 2
10(2y) + 25y = 630
20y + 25y = 630
45y = 630
Dividing both sides by 45
Putting y=14 in Eqn 1
x = 2(14)
x = 28
Hence,
Number of dimes = 28
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Answer:
Point (0,0)
Step-by-step explanation:
Given the inequality y > 12x – 11.
We will check which of the given options will be applied for the inequality
A) (1,0)
Substitute with x = 1 and y = 0
0 > 12*1 - 11
0 > 1 ⇒ Wrong
So, Point (1,0) is not part of the solution of the inequality.
B) (3,2)
Substitute with x = 3 and y = 2
2 > 12*3 - 11
0 > 25 ⇒ Wrong
So, Point (3,2) is not part of the solution of the inequality.
C) (1,1)
Substitute with x = 1 and y = 1
1 > 12*1 - 11
1 > 1 ⇒ Wrong
So, Point (1,1) is not part of the solution of the inequality.
D) (0,0)
Substitute with x = 1 and y = 0
0 > 12*0 - 11
0 > -11 ⇒ True
So, Point (0,0) is part of the solution of the inequality.
Also, see the attached figure which represents the given inequality
The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality
