1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yawa3891 [41]
3 years ago
5

SUPER EASY

Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0
The answer is the third one and which is letter C and it’s 3(x + 5) = 3 • x + 3 • 5
goblinko [34]3 years ago
6 0
<span>3(x + 5) = 3 · x + 3 · 5</span>
You might be interested in
You’re instructed to prepare for a promotional candle sale you will use to test the popularity of the two redesigned candles. Wi
Anuta_ua [19.1K]

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

7 0
2 years ago
20. What is the y-intercept of the line<br> y + 11 = -2(x + 1.5).
Vinvika [58]

Answer:

86

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the five-number summary for the data set? 340 245 322 766 88 455 160 244 483 610 527
damaskus [11]
245 455 527 I hop that helps I wasn't sure
6 0
3 years ago
Read 2 more answers
Jami covered the lateral faces the
IgorLugansk [536]

Answer:

304

Step-by-step explanation:

find the area of each side, then add together

top and bottom are 10*8= 80 80*2= 160

front and back are 10*4=40  40*2=80

left and right sides are 8*4=32  32*2=64

160+80+64=304

5 0
2 years ago
8x-9+6h use x=5 and h=9
tiny-mole [99]
85

8(5)-9+6(9)
40-9+54
=85
8 0
2 years ago
Read 2 more answers
Other questions:
  • over 5 days 8,208 people visited the amusement park about how people visited the park per day using rates
    15·1 answer
  • Four pounds of gas occupy 10ft^3. What would be it’s density and specific gravity
    5·1 answer
  • What is the result of 3÷ 3/5 Options:1/9 1/5 5 9​
    12·2 answers
  • Which method when performed on the graph of y = 5x - 16 will result in a line that is parallel? Select all the methods that appl
    5·1 answer
  • Which point is on the circle centered at the origin with a radius of 5 units?
    10·2 answers
  • Which of these expressions represent solutions to the equation y3 = 64?
    7·2 answers
  • This circle graph shows the results of a survey that asked people to identify their favorite type of music.
    6·2 answers
  • -16 - x = -20<br> what the answer for x?
    5·2 answers
  • A store pays $60 for shoes and sells them for $90. What is the percent mark up?
    8·1 answer
  • Show how to write 3/4 with the denominator 12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!