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Gnom [1K]
3 years ago
6

Of 120 hotel rooms rented one night, some were suites rented for $115 each and the rest were double rooms rented for $85 each. i

f the total revenue from the room rentals for this night was $10,890, how many suites were rented? 23 35 54 94 99
Mathematics
1 answer:
sveta [45]3 years ago
7 0

The answer is 23 suites.

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pls help me literally pls help me i need this done before tmr ad i have alot more to do pls help thanks
julsineya [31]

Answer:

y = −3x+7

Step-by-step explanation:

m = slope

slope = change in y / change in x

slope = ▲y/▲x

slope = -3 / 1

slope = -3

y-intersect = (0,7)

The slope-intercept form of linear equation:-  

y = mx + b

where:

m = the slope

b = y-intersect

*we plot the information we have get in the formula

y = mx + b

y = -3x + 7

*and this is the equation of the graph

8 0
3 years ago
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude
Fantom [35]

Answer:

60 seconds, 7715 feet

Step-by-step explanation:

Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.

To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.

For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.

4 0
3 years ago
A researcher wants to estimate the mean commute time of residents in Westchester County. The researcher samples 40 commuters and
Ksenya-84 [330]

Answer:

21.759

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 12.5

Sample size (n) = 40

α = 90%

The confidence interval is obtained using the relation:

Mean ± Zcritical * s/sqrt(n)

Zcritical at 90% confidence interval = 1.64

25 ± 1.64 * (12.5/sqrt(40))

Lower boundary : 25 - 1.64(1.9764235) = 21.75866546

Upper boundary : 25 + 1.64(1.9764235) = 28.24133454

(21.759, 28.241)

Hence, lower bound of confidence interval is : 21.759

4 0
3 years ago
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account
Yuki888 [10]
Formula for amount for compound interest:

Amount, A =  P(1 + r/100)^n

Where r is rate, P is principal, and n is the number of years.

P = 2000, r = 5, n = t years.

A = 2000( 1 + 5/100)^t

A = 200(1+0.05)^t

A = 2000(1.05)^t

A(t) = 2000(1.05)^t

None in the option look like the answer we have.

Except you didn't type the last option correctly.    

5 0
3 years ago
Read 2 more answers
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
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