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Mrac [35]
2 years ago
7

A construction contractor received two deliveries of building supplies from a lumberyard. The two deliveries included 10 boxes o

f nails, which cost a total of $110.
Mathematics
1 answer:
hichkok12 [17]2 years ago
6 0
Missing question:
Determine n, the cost per box of nails.

Solution;
n = Total cost/Number of boxes
Total cost = $110
Total number of boxes in the two deliveries = 10 boxes.

Therefore,
n = $110/10 = $11
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Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorpor
Reptile [31]
<u><em>Answer:</em></u>
b.Each electrician charges a different base fee:

<u><em>Explanation:</em></u>
<u>Each of the equations has two parts:</u>
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

<u>For the first electrician:</u>
y = 25x + 30
base fee = $30
hourly rate = $25

<u>For the second electrician:</u>
y = 30x + 25
base fee = $25
hourly rate = $30

<u>For the third electrician:</u>
y = 25x + 20
base fee = $20
hourly rate = $25

<u>Now, let's check the choices:</u>
<span><u>a.Each electrician charges a different hourly rate:</u>
</span>This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

<span><u>b.Each electrician charges a different base fee:</u>
This is correct as all three base fees are different ($30, $20 and $25)

</span><span><u>c.All three electricians charge the same hourly rate:</u>
This is incorrect as electrician 2 has a different hourly rate

</span><span><u>d. All three electricians charge the same base fee:</u>
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Hope this helps :)</span>
4 0
2 years ago
Read 2 more answers
Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of
Nikitich [7]

Answer:

The answer is given below

Step-by-step explanation:

Given that:

f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}

The function is an exponential function.

The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:

Domain: x = (-∞, ∞)

The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:

Range: y = (0, ∞)

8 0
2 years ago
Read 2 more answers
Leilah has not yet
Ivenika [448]

Answer:

40 * x - 600 = 0

Step-by-step explanation:

The first thing is to identify the variable (x) of the equation and they will be the number of days that Leilah will take to read her flashcards. Now if you need to study 600 out of 2400, it is because you have read 1800. Therefore we have to:

2400 - 1800 = 40 * x

rearranging

40 * x - 600 = 0

The above would be the equation of the situation

6 0
2 years ago
Read 2 more answers
The sum of 4 consecutive number is 330 what is the sum of the largest and the smallest number
Drupady [299]
X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
Smallest number: 81
Biggest number: 81 + 3 = 84
Sum: 81 + 84 = 165
The answer is 165
3 0
1 year ago
Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,
xeze [42]

Answer:

D. x-\frac{5}{2}y =  \frac{25}{2}

Step-by-step explanation:

Given

y = \frac{2}{5}x - 5

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

x - \frac{5}{2}y = \frac{25}{2}

This is shown as follows;

y = \frac{2}{5}x - 5

Multiply both sides by \frac{5}{2}

\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)

Open Bracket

\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5

\frac{5}{2}y = x - \frac{25}{2}

Subtract x from both sides

\frac{5}{2}y - x = x -x - \frac{25}{2}

\frac{5}{2}y - x = - \frac{25}{2}

Multiply both sides by -1

-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1

-\frac{5}{2}y + x =  \frac{25}{2}

Reorder

x-\frac{5}{2}y =  \frac{25}{2}

<em>Hence, the correct option is D</em>

x-\frac{5}{2}y =  \frac{25}{2}

9 0
2 years ago
Read 2 more answers
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