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andrezito [222]
3 years ago
7

The Morgan family got their energy bill from Southwest Power Company which showed the following uses of energy: gas usage = 43 t

herms, electricity usage = 847 KWh;
taxes and other charges + $12.35. Given the information below, what was the total energy bill for the Morgan family? Southwest Power Company has the following rates for
gas and electricity usage: Gas: Baseline usage: 30 therms At or below baseline usage: $1.22 per therm Above baseline usage: $1.53 per therm Electricity: Baseline usage:
250 kwh At or below baseline usage: 50.35 per kwh Above baseline usage: $0.51 per Kwh
$451.94
$460.81
$469.05
$463.27
None of these choices are correct.
Mathematics
1 answer:
alexdok [17]3 years ago
8 0
Please lord thank you
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There are 10 decimeters in every meter. If a piece of fabric is 32 decimeters long, how long is it when measured in meters?
lara31 [8.8K]
10 dm = 1 m
32 dm = 32/10 = 3.2 m
Answer: 3.2 m
8 0
3 years ago
The ratio of apples and oranges are 1:3 what would happen if I had 150 oranges ​
oksian1 [2.3K]

multiply the 3 by how ever much to get 150

there will be 50 apples

5 0
3 years ago
What is the area of this figure?<br><br> A.49.5 in²<br> B.66.5 in²<br> C.84 in²<br> D.91 in²
aliya0001 [1]
The area of a trapezoid with base lengths 7 in and 19 in is given by
  A = (1/2)(b1 + b2)h
  A = (1/2)(7 +19)·7 = 91

The appropriate choice is
  D. 91 in²


_____
It can also be figured by adding the area of the 7 in square (49 in²) to the area of the 7×12 in right triangle (42 in²).
3 0
3 years ago
Read 2 more answers
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

8 0
3 years ago
Explain how you know which method you should use to solve a rational equation.
notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

\frac{1}{2}=\frac{x}{2}\Rightarrow x=1

This can be used for rational equations with polynomials too.

For example,

\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

\frac{x+2}{8}=\frac{3}{4}

\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3

\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

\frac{x+2}{8}=\frac{3}{4}

Factors of 4: 1\times2\times2

Factors of 8: 1\times2\times2\times2

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}

we get,

\Rightarrow\frac{x+2}{8}=\frac{6}{8}

On cancelling 8 on both sides we get,

\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4

Hence, these are the ways to solve a rational equation.

7 0
3 years ago
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