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ki77a [65]
3 years ago
15

After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200 for hotel costs. They wa

nt to stay 6 nights at a hotel. In addition, they know they should plan to pay $240 in taxes and tips. Let c represent the total cost per night they should plan for the hotel.
What is the solution to the equation that represents this situation?

The equation is 6c+240=1200 please help!!
Mathematics
2 answers:
alex41 [277]3 years ago
5 0
It could be 954. I subtracted everything
Mazyrski [523]3 years ago
5 0

Answer:

c = 160

Step-by-step explanation:

6c + 240 = 1200

Subtract 240 from both sides

6c = 960

Divide both sides by 6

c = 160

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A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far d
WINSTONCH [101]

Answer:

She rode 17.4 miles in 1 hour

Step-by-step explanation:

A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?

Part A Estimate the quotient. Include an equation to show your work. Explain your thinking.?

The quotient is the average speed and this is calculated as:

Speed = Distance(miles)/Time(hours)

Where speed = quotient

Distance = Dividend

Time = Divisor

Speed = 60.9 miles/3.5 hours

= 17.4 miles/hour

Part B Find the exact distance she rode in 1 hour by completing the division. PLEASE HELP!

If :

3.5 hours = 60.9 miles

1 hour = x miles

Cross Multiply =

3.5x = 60.9 miles

x = 60.9/3.5

x = 17.4 miles

Hence, she rode 17.4 miles in 1 hour

6 0
3 years ago
Find the conjugate of 7 - 2i
Helen [10]
Conjugate of (a - bi) is (a + bi).
Just change the sign on the imaginary part.

7 + 2i
7 0
3 years ago
A line passes through the point (3, -12) and has slope of 7.
FromTheMoon [43]

Answer:

y = 7x - 33

Step-by-step explanation:

Using a given point and slope, we need to use point-slope form.

y - y_1 = m (x - x_1)

m= 7 (slope)

x_1 = 3 (x value from given point)

y_1 = -12 (y value from given point)

y - y_1 = m (x - x_1)  

y - ( -12) = 7(x -3)       Now we Substitute values in

y + 12 = 7(x -3)    Double negative with - (-12) makes 12 positive

y + 12 = 7x -21       Use distributive property for 7(x -3)

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4 years ago
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makvit [3.9K]

The extraneous solution of the logarithmic problem \rm log_3(18x^3)-log_3(2x) = log_3 144 is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

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If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

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2 years ago
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