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)
A) 18%
B) 20%
C) 46%
D) 67%
an inequality sign
B
an expression
C
an equal sign
D
a variable
Answer:
A-an inequality sign
Step-by-step explanation:
inequality sign: greater then, less than, equal to.
expression: 2x + 3 no equal sign
equal sign: =
Variable: a letter in the equation such as n x 6=?
Hope this is correct.
-3x-2y=-12 by substitution
Answer: x = 0.25, y = 5.625 or (, )
Step-by-step explanation:
To solve by substitution, we will first isolate one of the variables in one of the given equations.
-7x - 2y = -13 ➜ y = -3.5x + 6.5
Then, we will substitute this into the other given equation and solve for x.
-3x - 2y = -12
-3x - 2(-3.5x + 6.5) = -12
-3x + 7x - 13 = -12
4x = 1
x = 0.25
Lastly, we will substitute this value of x into the equation we solved for to find y.
y = -3.5x + 6.5
y = -3.5(0.25) + 6.5
y = 5.625