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3 years ago

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An air conditioning technician charged Robert $77.25 to repair his air conditioning system after 3 hours of work. The technician

charged the same rate for each hour of work. Which diagram represents the constant rate of change for this situation?

1 answer:

agasfer [191]3 years ago

5 0

Answer:B

Step-by-step explanation:

He charged the man $25.75 for each hour and he worked for 3 hours so multiply $25.75 x 3 = $77.25

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Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

svlad2 [7]

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12

8 0

3 years ago

Both roots of x^2 + Nx + 144 are equal to each other. Find all the possible values of N.

Amanda [17]

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

6 0

3 years ago

Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.

CaHeK987 [17]

For this case we have that by definition, the equation in the form of slope-intersection is given by:

$y = mx + b$

Where

m is the slope

b is the cut point

Substituting the given point: $(x, y) = (2, -4)$ and the cutoff point $b = -2$ we can find the slope,

We have:

$-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m$

$m =-\frac{2}{2}\\m = -1$

Thus, the equation is given by:

$y = -x-2$

Answer:

$y = -x-2$

See attached image

3 0

3 years ago

Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab

Katarina [22]

Answer:

$13564

Step-by-step explanation:

$\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\% of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|$ $\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\% of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\% of the amount over 77,100\end{array}\right|$

$\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\% of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\% of the amount over 349,700\end{array}\right|$

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

5 0

3 years ago

Read 2 more answers

The sum of 3 consecutive odd numbers is 183. What is the third number in this sequence?

natta225 [31]

Answer:

61

Step-by-step explanation:

3x + 6 = 183

3x = 177

x = 59

(x+2) = (59+2) = 61

It is correct on khan academy

3 0

3 years ago

Read 2 more answers