What is the solution to the proportion? 6/x=9/12

Answers

Answer 1

Answer: 6/x = 9/12
Product of means = Product of extremes
12 × 6 = 9 × x
x = 12 × 6/9
x = 8

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What is the result of -2/3⋅12 3/8? enter the result as an improper fraction and as a mixed number.

Answers

$-(2)/(3)\cdot12(3)/(8)=-(2)/(3)\cdot(12\cdot8+3)/(8)=-(2)/(3)\cdot(99)/(8)\n\n=-(1)/(1)\cdot(33)/(4)=\boxed{-(33)/(4)}=-(32+1)/(4)=\boxed{-8(1)/(4)}$

Solve for x in the equation 5.7 + 4.8x = 8.5.

Answers

Answer:

x = .58

Step-by-step explanation:

5.7 + 4.8x = 8.5

4.8x = 8.5 - 5.7

4.8x = 2.8

x = 2.8 / 4.8 = .58

A salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. how would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars $45,000 to $50,000 and projects sales of 200 cars in each category?

a. the distribution will exhibit symmetry.

b. the distribution will exhibit a positive skew.

c. the distribution will exhibit a negative skew.

d. the distribution will uniform throughout.

Answers

In the given histogram, the shape of the histogram shows that the shape of the distribution exhibits symmetry (i.e. the shorter bars are to the left and to the right while the longer bars are in the middle). Adding the sales of cars priced under $5,000 and cars priced $45,000 to $50,000 with projected sales of 200 cars for each category will result in adding bars of the same size as the shortest bar to both ends of the histogram. This will not affect the initial shape of the distribution in the histogram as the distribution will still exhibit symmetry. Therefore, the correct answer to the question is "the distribution will exhibit symmetry" (option a).

A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room.

Answers

W=3/4L
P=2L=2W
70=2L+2(3/4L)
70=2L+6L/4
70=2L+1.5L
70=3.5L
L=70/3.5
L=20 FT. ANS. FOR THE LENGTH.
W=4/4*20=15 ANS. FOR THE WIDTH

i think.

2(4w) + 2w = 70
8w + 2w = 70
10w = 70
W= 7 m

Again, you just have to learn to make the equations. :)

Please help me with this two step math problem! THANK YOU !!!!!!!!

Answers

The job that would give you more is the one where you double the penny everyday. Although it seems small at first but slowly slowly you start making a lot more money.

To calculate how much you would make in 30 days by doubling the penny, you just double the amount every day until you get to 30:
$.01 - First day
$.02
$.04
$.08
$.16 - Fifth day
$.32
$.64
$1.28
$2.56 - Ninth day
....
$5,368,709.12 - 30th day

If you add it all up, the sum you would get is $10,737,418.23.

That is 11 times more than the first option! :)

Table:
Days Money
Day 1 $.01
Day 2 $.02
Day 3 $.04
Day 4 $.08
Day 5 $.16
Day 6 $.32
Day 7 $.64
Day 8     $1.28
Day 9     $2.56
Day 10   $5.12
Day 11 $10.24
Day 12 $20.48
Day 13 $40.96
Day 14 $81.92
Day 15 $163.84
Day 16 $327.68
Day 17 $655.36
Day 18 $1,310.72
Day 19 $2,621.44
Day 20 $5,242.88
Day 21 $10,485.76
Day 22 $20,971.52
Day 23 $41,943.04
Day 24 $83,886.08
Day 25 $167,772.16
Day 26 $335,544.32
Day 27 $671,088.64
Day 28 $1,342,177.28
Day 29 $2,684,354.56
Day 30 $5,368,709.12

And as mentioned above, the total sum is $10,737,418.23

Number of periods would be is 30 days. Or 1 month.
And this is a good example of compund interest.

Select the term that best describes the statement.All lines are straight or a triangle has four sides.

A.) conjunction
B.) disjunction
C.) negation
D.) conditional