If the jar has $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar then there are 8 dimes and 15 nickels in the jar.
The total value of dimes and nickels in the jar is $1.55.
There are 23 coins in the jar.
d + n = 23 ...(1)
The total value of dimes and nickels is $1.55
0.10d + 0.05n = 1.55 ..(2)
Now, we need to solve this system of equations to find the values of "d" and "n."
We can use substitution or elimination method to solve it. Let's use the substitution method:
From Equation 1, we can rewrite it as: d = 23 - n
Now, substitute this value of "d" in Equation 2:
0.10(23 - n) + 0.05n = 1.55
2.30 - 0.10n + 0.05n = 1.55
Combine like terms:
-0.05n = 1.55 - 2.30
-0.05n = -0.75
Now, divide by -0.05:
n = -0.75 / -0.05
n = 15
Now that we have the value of "n" (nickels), we can find the value of "d" (dimes) from Equation 1:
d = 23 - n
d = 23 - 15
d = 8
Hence, there are 8 dimes and 15 nickels in the jar.
To learn more on Equation:
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i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)
Answer:
(6⁴ * 8⁻⁷) ⁻⁹
equivalent expressión is:
1 / (6⁴ * 8⁻⁷)⁹
Step-by-step explanation:
(6⁴ * 8⁻⁷) ⁻⁹
= 1 / (6⁴ * 8⁻⁷)⁹
15
20
12
11.78 cubic meters
35.33 cubic meters
121.20 cubic meters
141.30 cubic meters
Answer:
35.33
the drill use the volume formula for a cylinder then plug in the numbers
To convert the repeating decimal 5.764764764... to a rational number, we first create a variable to represent the decimal, then manipulate it to remove the repeating part. The resulting rational expression is 5759/999.
Conversion of a Repeating Decimal to a Rational Number
Let's create a variable, X, to represent the repeating decimal 5.764764764....
X = 5.764764764...
Now, to get rid of the repeating section, we'll multiply X by 1,000 (since the repeating part is three digits). This gives us a new equation:
1,000X = 5764.764764...
We can subtract the original equation from this new one to get rid of the repeating decimal.
1,000X - X = 5764.764764... - 5.764764764...
This simplifies to 999X = 5759.
Finally, we divide both sides by the coefficient of X (999) to get:
X = 5759 / 999
Therefore, the rational expression for the repeating decimal 5.764764764... is 5759/999.
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What is the slope of the line?