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Artemon [7]
3 years ago
7

Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes

Mathematics
1 answer:
valkas [14]3 years ago
6 0
This is a problem of system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:

1. Alice has a total of 12 dimes and nickels.

Let the variables:

D: Dimes \\ N:Nickles

1st. Equation:

D+N=12

<span>2. She has 2 more nickels than dimes

2nd Equation:

N=D+2

Therefore our system of linear equations is:

</span>(1) \ D+N=12 \\ (2) \ N=D+2 \\ \\ Substituting \ (2) \ in \ (1): \\ D+(D+2)=12 \therefore 2D=10 \therefore D=5 \\ \\ Solving \ for \ N \ in \ (2): \\ N=5+2=7

Conclusion:

<span>Alice has 5 dimes and 7 nickels. </span>
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15/16 as a decimal rounded to the nearest tenth
matrenka [14]

Answer:

0.9

Step-by-step explanation:

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6 0
2 years ago
Given g(x) = −3x + 4
Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

3 0
2 years ago
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Oksanka [162]

Answer:

equal

Step-by-step explanation:

just read

5 0
3 years ago
Read 2 more answers
Can anyone answer this?<br> x+1&lt;5
Sliva [168]
X + 1 < 5
x < 5 - 1
x < 4

u basically solve it like equations except for one important rule....with inequalities, when u multiply/divide by a negative number, the inequality sign changes directions. But we didn't have to deal with that rule in this particular problem
5 0
3 years ago
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