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g100num [7]
3 years ago
12

A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 park

ing spots for employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer: The expression for the maximum number of cars that can be parked in the parking lot is:

                         4c+15

Step-by-step explanation: As there are a total of 4 rows.

and  If c cars can be parked in each of the 4 main rows of the parking lot then the total number of cars that are parked in all the rows are:

                            4c

Also, 15 parking spots are for store employees.

Hence, the maximum number of cars that can be parked is represented by the expression as:

                              4c+15

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An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s
zloy xaker [14]

Answer:

b)Add the equations to eliminate x.

Step-by-step explanation:

y= x+20

y= - x+2

Result of the addition: (-x cancels x)

2y = 22

y =11

11=x +20            -9 = x

11=9+2

11 = -9 +20

8 0
3 years ago
Write an inequality that means 2 times a number (d) plus 3 is less than or equal to 9.​
djyliett [7]

Answer: 2d+3<=9

Step-by-step explanation:2 times a number is 2d plus 3 is +3 less than or equal to is <=

5 0
2 years ago
Find the mean,median and range of the following list of values and choose the correct result.
Aloiza [94]

Mean: 10.5

Median: 10.5

Range: 5

--------------------------------------------

<u></u>

To find the mean you order the numbers then add then divide.

<u>Add</u>

8+9+10+10+10+11+11+11+12+13=105

<u>Divide</u>

105÷10=10.5

Mean = 10.5

--------------------------------------------

<u></u>

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

--------------------------------------------

<u></u>

To find the range you subtract the biggest number to the smallest number.

<u>Subtract</u>

13-8=5

Therefore 5 is the range

5 0
4 years ago
Read 2 more answers
The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as
lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

       Circumference of circle (C)  =  2\pi r   {where r is radius of circle}

                                                      =  2 \times \pi \times 8   {given r = 8 inches long}

                                                      =  16 \pi

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents  \frac{25}{60}  which is  \frac{5 }{12}  of the circumference, that means;

The length of arc from time 12:00 to 12:25  =  \frac{5}{12}\times \text {Circumference of circle}

                                                                       =  \frac{5}{12} \times 16 \pi

                                                                       =  \frac{20}{3} \pi = 6.67\pi

Now, assuming value of \pi = 3.14; so 6.67\pi =  6.67 \times 3.14 = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0
3 years ago
Unit 8: Right Triangles &amp; Trigonometry<br> Homework 2: Special Right Triangles
Kamila [148]

Answer:

17. z=39/sin45=78/\sqrt{2}

    y=39/tan60=39/\sqrt{3}

    x=y/sin60=78/\sqrt{3}

19. x=6\sqrt{3}/tan60=6

    y=2x=12

    z=\sqrt{2}y=12\sqrt{2}

Step-by-step explanation:

17.

because:sin45=39/z    

so:     z=39/sin45=78/\sqrt{2}

then: tan60=39/y

so:    y=39/tan60=39/\sqrt{3}

last:  sin60=y/x

so:    x=y/sin60=78/\sqrt{3}

19.

because: tan60=6\sqrt{3}/x

so:            x=6\sqrt{3}/tan60=6

then:        sin30=x/y

so:            y=x*sin30=2x=12

last:          sin45=y/z

so:            z=sin45*y=\sqrt{2}y=12\sqrt{2}

   

4 0
3 years ago
Read 2 more answers
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