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vodomira [7]
3 years ago
10

a hotel survey shows that nearly 30% of the guest staying at the hotel were there for personal reasons. the remainder of the gue

st were at the hotel on business
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
6 0

Answer: I think the answer is 70%

Step-by-step explanation: I am not totally for sure but it says 30% and 70% + 30% = 100%.

kondor19780726 [428]3 years ago
5 0

Answer:70% is the rest

Step-by-step explanation:

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The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?
Charra [1.4K]

Answer:

The diameter of the model is 14.4 inches.

Step-by-step explanation:

The Diameter of the moon = 2,160 miles

The scale on the model represents 1 in = 150 miles

Let the model represents k inches in 2,160 miles.

So, by the Ratio of Proportionality:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

or, k = 14.4 inches

⇒On the scale 2160 miles is represented as 14.4 inches

    Hence the diameter of the model is 14.4 inches.

3 0
3 years ago
75 POINTS Need an immediate answer please brainliest will be given! A train left a station travelling to a city at 30 mph. The t
yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

#SPJ1

6 0
2 years ago
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
den301095 [7]
ANSWER

A) -1

EXPLANATION

The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).

That is the average rate of change is:

= \frac{f(4) - f(0)}{4 - 0}

From the graph, f(0) is 0 and f(4) is -4.

We plug in these values to obtain;

= \frac{ - 4 - 0}{4 - 0}

This simplifies to;

= \frac{ - 4}{4}

= - 1

Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1
5 0
3 years ago
Read 2 more answers
NEED HELP IMMEDIATELY Which expression is equivalent to one over four n − 16? a. one over four(n − 4)
erica [24]

A because just multiply 1/4 by 16 and u get 4

8 0
3 years ago
What is 80% more than 20.00
AlekseyPX
Answer is 36.
20 * 80/100 = 16
20+16=36
5 0
3 years ago
Read 2 more answers
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