Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

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Answer:

-4/5

Step-by-step explanation:

To find this we can look for the [tex]LCD[/tex] between all the numbers

Here are our [tex]LCD's[/tex] (Least Common Denominator)

-22/30 and -25/30

It wouldn't be -1 because it isn't in between those numbers

It isn't -7/10 because if we turn it into our [tex]LCD[/tex] it would be -21/30 which isn't in between those numbers

It is -4/5 because if we turn in into our [tex]LCD[/tex] it would be -24/30 which is between those numbers

This means we have our right answer we know our last one is incorrect

Step-by-step explanation:

False

The SI unit of mass is Kilogram ( Kg)

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Statement

∠1 = ∠2

Reason(1): l║m, Corresponding angles are congruent

Reason(2): Corresponding angles are congruent (Postulate)

Hope this can help

We have to prove how j||k?

Hence

Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

Answer:

Draw a vertical line on a graph, with the x-axis at -6

this line should be parallel to the y-axis, but shift to the left 6 units.

Step-by-step explanation:

The greatest common factor of 27 and 46 is 1

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Use this table,

ㅤ

ㅤ

ㅤ

Answer:

.13

Step-by-step explanation:

Answer:

1) A 1 1/3    2) C  1 5/12

Step-by-step explanation:

1) 2/6+4/8+5/10

Reduce 4/8 with 4 and 5/10 with 5.

2/6+1/2+1/2

Reduce 2/6 with 2.

1/3+1/2+1/2

Add fractions with a common denominator.

1/3+2/2

Reduce 2/2 with 1

1/3+1

Write all numerators above the common denominator.

1+3/3

Calculate.

4/3 = 1 1/3

2) 2 3/4 - 1 1/3

Change to improper fractions.

11/4 - 4/3

Write all numerators above the common denominator.

33-16/12

Calculate.

17/12 = 1 5/12

Hope this helps :)

Answer:

[tex]2^{2} *3^{2}[/tex]

Step-by-step explanation:

You would have to prime factorize the number.

36=4x9

4=2x2

9=3x3

36=2x2x3x3

Answer:

36 reduced into simplest form is 12.

Step-by-step explanation:

12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

Answer:

8

Step-by-step explanation:

Answer:

what table ..............there is no table

Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.

For babysitting, he earns $12 per hour.

For working at the grocery store, he earns $8 per hour.

So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.

He needs to make at least $600 to buy a new computer.

Therefore, we can write the equation:

12x + 8x ≥ 600

Combine the like terms:

20x ≥ 600

Now, solve for x by dividing both sides of the inequality by 20:

x ≥ 600 / 20

x ≥ 30

Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

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Complete question:

"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"

Answer:

the information above is not suffi

Step-by-step explanation:

hope it helps if wrong sorry

Answer:

The median height for tree 1 is greater.

Step-by-step explanation:

The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

this seems like a continuation of the question which was answered previously

we know angle AEB=135, using vertical angle theorem, AEB and CED are congruent, so CED=135

Answer:

2/6 < 7/9 < 9/10

Step-by-step explanation:

Answer:

5*jjjjjjjjkkkkkkkkkk