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laiz [17]
2 years ago
11

Select the correct answer.

Mathematics
1 answer:
kramer2 years ago
5 0

Answer:

xxx

Step-by-step explanation:

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i have to write equations in standard form using integer coefficients for A,B, and, C Example: y= -8/15x + 1/20
uysha [10]

Answer:

c

Step-by-step explanation:

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3 years ago
Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Compare the tables. Which correctly shows the
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The answer would be A. She charges $9 an hour.
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3 years ago
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Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5
Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.

Since a total of 14 cups of coffee was served:

a+b+c=14

A total of 204 ounces of coffee was served. Therefore:

10a+14b+20c=204

A total of $16.70 was collected. Hence:

0.95a+1.15b+1.5c=16.7

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:

c=14-a-b

Substitute this into both the second and third equations:

10a+14b+20(14-a-b)=204

And:

0.95a+1.15b+1.5(14-a-b)=16.7

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}

And for the Third:

\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}

We can solve this using substitution. From the second equation, isolate <em>a: </em>

<em />\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b<em />

Substitute into the third:

-0.55(7.6-0.6b)-0.35b=-4.3

Distribute and simplify:

-4.18+0.33b-0.35b=-4.3

Therefore:

-0.02b=-0.12\Rightarrow b=6

Using the equation for <em>a: </em>

<em />a=7.6-0.6(6)=4<em />

<em />

And using the equation for <em>c: </em>

<em />c=14-(4)-(6)=14-10=4<em />

<em />

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0
2 years ago
Solve each pair of simultaneous equations by substitution method
WARRIOR [948]

Answer:

x = 1       y = -4

Step-by-step explanation:

- Plug the value of y into the other equation.

x + 3y = -11

x + 3(-4x) = -11

x - 12x = -11

-11x = -11

x = 1

- Now substitute the value of x into any equation.

y = -4x

y = -4(1)

y = -4

3 0
2 years ago
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In a (blank) , one ratio compares a part to a whole
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While it does sounds redundant, it could be a "part to whole" ratio
3 0
3 years ago
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