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victus00 [196]
3 years ago
15

Chandra has $36.25 in dimes and quarters If she has 250 coins in total, hwo many

Mathematics
2 answers:
vladimir2022 [97]3 years ago
7 0

Answer:

175 dimes and 75 quarters

Step-by-step explanation:

Make a system of equations, where d is the number of dimes and q is the number of quarters:

d + q = 250

0.1d + 0.25q = 36.25

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1q = -25

0.1d + 0.25q = 36.25

0.15q = 11.25

q = 75

Then, plug in 75 as q into one of the equations to solve for d:

d + q = 250

d + 75 = 250

d = 175

So, there are 175 dimes and 75 quarters

Tanya [424]3 years ago
3 0

Answer:

175 dimes and 75 quarters

Step-by-step explanation:

Make a system of equations, where d is the number of dimes and q is the number of quarters:

d + q = 250

0.1d + 0.25q = 36.25

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1q = -25

0.1d + 0.25q = 36.25

0.15q = 11.25

q = 75

Then, plug in 75 as q into one of the equations to solve for d:

d + q = 250

d + 75 = 250

d = 175

So, there are 175 dimes and 75 quarters

Step-by-step explanation:

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How many solutions does the equation 9x-3(x+8)=6x-24
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Simplifying
9x + -3(x + 8) = 6x + -24

Reorder the terms:
9x + -3(8 + x) = 6x + -24
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Reorder the terms:
-24 + 9x + -3x = 6x + -24

Combine like terms: 9x + -3x = 6x
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Reorder the terms:
-24 + 6x = -24 + 6x

Add '24' to each side of the equation.
-24 + 24 + 6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
0 + 6x = -24 + 24 + 6x
6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
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Solving
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Let's compare the given function with the model for a quadratic equation:

\begin{gathered} f(x)=ax^2+bx+b \\ a=2,b=12,c=-6 \end{gathered}

Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.

The minimum value can be found calculating the y-coordinate of the vertex:

\begin{gathered} x_v=-\frac{b}{2a}=-\frac{12}{4}=-3 \\  \\ y_v=2\cdot(-3)^2+12\cdot(-3)-6 \\ y_v=2\cdot9-36-6^{} \\ y_v=-24 \end{gathered}

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