In a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels. What is the ratio of nickels to dimes?
Answers
Answer:
6:5
Step-by-step explanation:
It is given that a pot worth $2.35 and there are 6 quarters, 5 dimes, 5 pennies, the rest of the coins are nickels.
We know that
$1 = 100 cents
1 penny = 1 cent = $0.01
1 nickel = 5 cents. = $0.05
1 dime = 10 cents. = $0.10
1 quarter = 25 cents = $0.25
The value of 6 quarters is
The value of 5 dimes is
The value of 5 pennies is
Let x be the number of nickels. So, the value of x nickels is
Total value of 6 quarters, 5 dimes, 5 pennies, and x nickels is
It is given that the pot worth is $2.35.
Subtract 2.05 from both sides.
Divide both sides by 0.05.
The number of nickels is 5.
Therefore, the ratio of nickels to dimes is 6:5.
In a pot worth $2.35 containing 6 quarters, 5 dimes, 5 pennies, and some nickels, the ratio of nickels to dimes is 6:5.
To find the ratio of nickels to dimes, we need to determine the number of nickels and dimes in the pot. We know that there are 6 quarters, 5 dimes, and 5 pennies in the pot, which is a total of 16 coins. Therefore, the number of nickels should be the difference between the total number of coins and the sum of quarters, dimes, and pennies.
The total value of the coins in the pot is $2.35. Since 6 quarters are worth $1.50, 5 dimes are worth $0.50, and 5 pennies are worth $0.05, the remaining value should come from the nickels.
Thus, the value of the nickels is $2.35 - $1.50 - $0.50 - $0.05 = $0.30. Since each nickel is worth $0.05, the number of nickels is $0.30 ÷ $0.05 = 6.
The ratio of nickels to dimes is therefore 6:5, which means that for every 6 nickels, there are 5 dimes.
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Answers
The two figures that multiply to-48 and add up to-2 are-8 and 6.
Let's assume the two figures are x and y.
According to the problem, we've two conditions
x y = -48
x y = -2
To break this, we can rewrite the alternate equation as
x = -2- y
Now substitute this value of x in the first equation
(-2 - y) y = -48
- 2y- y² = -48
Rearranging the terms
y² + 2y- 48 = 0
Now, solving the Quadratic Equation
(y+ 8)( y- 6) = 0
Setting each factor to zero
y + 8 = 0--> y = -8
y- 6 = 0--> y = 6
So we've two possible values for y is -8 and 6.
Substituting these values back into the equation x + y = -2, we can break for x
For y = -8
x(- 8) = -2
x- 8 = -2
x = 6
For y = 6
x 6 = -2
x = -2- 6
x = -8
Thus, the two figures that multiply to-48 and add up to-2 are-8 and 6.
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6 + -8 = -2
Answers
Answer:
Sherry is the wonner,winner, kark is burning
Standard Deviation: _________a1
Answers
100 students:
pass = + 4
fail =+ 0
90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0
mean: 360 / 100 = 36
standard deviation:
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960
92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance
Standard deviation = √1,051.20 = 32.42
pounds. If 1 kilogram is approximately
2.2 pounds, which value best
represents the weight of Anthony's
dog in kilograms?
Answers
Answer:
25 kg.
Step-by-step explanation:
the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.
Answers
but, m(<A) < m(<B) < m(<C) => BC < AC < AB (3);
Answers
Answer:
This problem has two number solutions. The solutions are x = ±√ 1.500 = ± 1.22474.
Step-bystepexplanation:
Step 1 :
Equation at the end of step 1 :
0 - ((0 - 2x2) + 3) = 0
Step 2 :
Trying to factor as a Difference of Squares :
2.1 Factoring: 2x2-3
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Equation at the end of step 2 :
2x2 - 3 = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : 2x2-3 = 0
Add 3 to both sides of the equation :
2x2 = 3
Divide both sides of the equation by 2:
x2 = 3/2 = 1.500
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 3/2
The equation has two real solutions
These solutions are x = ±√ 1.500 = ± 1.22474