Connor has 14 quarters and 28 dimes.
Step-by-step explanation:
Given,
Worth of coins = $6.30 = 6.30*100 = 630 cents
We know that,
1 quarter = 25 cents
1 dime = 10 cents
Let,
Quarter = x
Dime = y
According to given statement;
25x+10y=630 Eqn 1
The number of dimes is 14 more than the number of quarters
y = x+14 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 35

Putting x=14 in Eqn 2

Connor has 14 quarters and 28 dimes.
Keywords: linear equation, substitution method
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The worth of the bond is $307.50.
<h3>What is the worth of the bond?</h3>
The worth of the bond is the sum of the bond when it was bought and the interest earned on the bond.
Worth of the bond = interest rate + value when the bond was bought
Interest = 105% x $150
1.05 x $150 = $157.70
Worth of the bond = $157.70 + $150 = $307.50
To learn more about interest, please check: brainly.com/question/26164549
To do this set each of the factors to 0:
2x - 1 = 0
2x = 1
x = 1/2
x - 5 = 0
x = 5
Hope this helps!
Answer:
9.6
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 22² = 24²
Subtract 22² from both sides
a² = 24² - 22²
a² = 576 - 484
a² = 92
Take the square root of both sides
a = 9.591663046625438
Rounded
a = 9.6 ft
An even prime number would be 4,8,10