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aleksandrvk [35]
3 years ago
13

I am a odd number less than 100 and a multiple of 15.The sum of my digits is 12.What number am I.

Mathematics
2 answers:
Reptile [31]3 years ago
7 0
The answer is 75. 7+5=12 and it’s less than 100
lutik1710 [3]3 years ago
6 0
The number is 75
15*3=75
75<100
7+5=12
75 is odd
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Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of th
Keith_Richards [23]

Answer:

12\frac{1}{5} in

Step-by-step explanation:

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5 0
2 years ago
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
What is the solution to -2(3x - 9) + 5x = -10?
sweet-ann [11.9K]
-2(3x - 9) + 5x = -10
-6x + 18 + 5x = -10
-6x + 5x = -10 - 18
-x = -28
x = 28 <===
6 0
3 years ago
A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 3
Neko [114]

You can park in the garage for 5 hours 30 minutes

<em><u>Solution:</u></em>

Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)

Therefore,

Cost for first half an hour = $ 2

Cost for each additional half an hour = $ 1.20

Let "x" be the number of each additional half hour

Therefore, total cost to pay is given as:

Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)

Total cost = 2 + 1.20x

<em><u>Given you have $ 8 in cash</u></em>

8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5

Total hours parked = first half an hour + 5

Thus you can park in the garage for 5 hours 30 minutes

4 0
3 years ago
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