WHAT IS 55 IS 40% OF WHAT NUMBER

QUESTION POSTED AT 14/12/2019 - 05:14 PM

Answered by admin AT 14/12/2019 - 05:14 PM

The answer is 137.5
How?
You must change 40% into a decimal by multiplying 100. ⇒ 0.40
Next, divide it. 55 ÷ 0.40.

55 ÷ 0.40= 137.5 

Hoped this helped.

~Bob Ross®
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Related questions

Abe has a bag of marbles and wants to divide them into sets. The first set will have 2 marbles; the second set, 5; the third set, 8; the fourth set, 11; and so on. How many sets will he have if he starts with 40 marbles?

Ok so the numbers are in a sequence of +3 so he would go 2,5,8,11,14. He could only have 5 groups of marbles because 2+5+8+11+14=40

ANSWERED AT 20/01/2020 - 01:43 PM


QUESTION POSTED AT 20/01/2020 - 01:43 PM

John needs 13 bottles of water from the store. John can only carry 3 at a time. What's the minimum number of trips John needs to make to the store? a. 3 b. 4 c. 4 1/2 d.5 e.6

13 ÷ 3 = 4 (remainder 1)
Since John cannot make  \frac{1}{3} of a trip to the store, he would make an extra trip for the last bottle. 
4 + 1 = 5

The answer is d. 5

ANSWERED AT 20/01/2020 - 01:42 PM


QUESTION POSTED AT 20/01/2020 - 01:42 PM

1. To which set of numbers does the number belong? –55 (1 point) natural numbers / whole numbers/ integers / irrational numbers

Answer:

The number –55 is an integer.

Step-by-step explanation:

Consider the provided information.

Whole numbers are the numbers 0, 1, 2, 3, 4, 5,...

Natural numbers are the numbers 1, 2, 3, 4, 5,...

Integers are the whole numbers, but they include negative numbers ...-5,-4,-3,-2,-1,0,1,2,3,4,5..

Irrational numbers are numbers which are not expressible as a ratio of two integers.

Now consider the provided number –55.

From the above definition the number –55 is neither whole number nor the natural number. Also –55 is not an irrational number because it can be expressible as a ratio of two integers.

Hence, the number –55 is an integer.

ANSWERED AT 20/01/2020 - 01:39 PM


QUESTION POSTED AT 20/01/2020 - 01:39 PM

The function f(x) = 0.11x + 43 relates how much Derek pays for phone service, f(x), to the number of minutes, x, used for international calls in a month. What is the value and meaning of f(320)? A. $78.20; this is the amount Derek pays for 320 months of service $78.20; / B.this is the amount Derek pays for 320 minutes of international calls $92.50; / C.this is the amount Derek pays for 320 months of service $92.50; / D. this is the amount Derek pays for 320 minutes of international calls

Given the function f(x) = 0.11x + 43, this shows the relationship between how much Derek has to pay for phone service for the amount of minutes he uses on international calls a month. 

f(320) can be solved by substituting x = 320, and this is shown below:

f(x) = 0.11x + 43
f(320) = 0.11(320) + 43
f(320) = 78.2

This means that Derek has to pay $78.20 for the 320 minutes of calls. Among the choices, the correct answer is B.

ANSWERED AT 20/01/2020 - 01:33 PM


QUESTION POSTED AT 20/01/2020 - 01:33 PM

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of a. miles he runs. b. months he runs. c. miles he ran the first day. d. calories he burns.

B. Months he runs. f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.

ANSWERED AT 20/01/2020 - 01:33 PM


QUESTION POSTED AT 20/01/2020 - 01:33 PM

Which of the following expressions is the conjugate of a complex number with −5 as the real part and 4i as the imaginary part? 5 + 4i / 5 − 4i / −5 − 4i/ −5 + 4i

The mathematical expression of the given complex number above is -5 + 4i. The conjugate of this complex number is that which has an opposite operation. The given is an addition operation. That is -5 - 4i. Therefore, the answer is the third among the choices. 

ANSWERED AT 20/01/2020 - 01:32 PM


QUESTION POSTED AT 20/01/2020 - 01:32 PM

A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is 40.0 meters from the base of the antenna. If the wire makes an angle of 55° with the ground, approximate the length l of the wire. (Round your answer to the nearest tenth.)

It is useful to start by drawing a picture to visualize this problem. 

In this case we are going to use the trigonometric function cosine, which is Cos(theta) = adjacent / hypotenuse. 

Cos(55) = 40 / x 

After simplifying we reach the equation: X = 40 /  cos(55)

which would then make the length of the wire 69.7 meters long. 

ANSWERED AT 20/01/2020 - 01:28 PM


QUESTION POSTED AT 20/01/2020 - 01:28 PM

A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the exponential function, y, that gives the number of students enrolled in terms of t, where t is the number of years since 2007. -The graph of the function begins at y = 96,000. -The graph of the function does not have any asymptotes. -The graph of the function shows the exponential growth. -As t increases in the exponential function, the value of y approaches zero.

The formula of the function would be:
y = 96000(1.07)^t

The graph is an exponential function with y-intercept of 9600. The curve goes upward indefinitely as the value of time increases.

Therefore, from the choices, the statements that apply to the graph are:
-The graph of the function begins at y = 96,000.
-The graph of the function shows the exponential growth.

ANSWERED AT 20/01/2020 - 01:25 PM


QUESTION POSTED AT 20/01/2020 - 01:25 PM

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria after 7 hours? B(t)=4*e^0.8t Answers: A. 45,674 / B. 1082 / C. 270 / D. 635,818

We are given with the situation of bacteria multiplying into colonies. We are given also with the function of B(t)= 4e^0.8t where t is the time of multiplication. We just have to substiture the given time of 7 hours to find teh final count. The answer is approximately 1082. Answer is  B. 

ANSWERED AT 20/01/2020 - 01:21 PM


QUESTION POSTED AT 20/01/2020 - 01:21 PM

A researcher finds that 15% of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this binomial experiment?

Answer:

Number of trials are 250.

Step-by-step explanation:

A researcher finds 15% of all commuters in a metropolitan area take the train to work.

The researcher polls 250 people in the area to ask them whether they take the train to work or not.

We have tell the number of trials for this binomial experiment.

Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.

ANSWERED AT 20/01/2020 - 01:16 PM


QUESTION POSTED AT 20/01/2020 - 01:16 PM

Find a number that is between 7/11 and 0.75 . A. 25/44 B. 77/99 C.23/33 D.76/99

Hello,

Answer C
23/33=0.69 69 69 .....
7/11=0.63 63 63 ....

ANSWERED AT 20/01/2020 - 01:15 PM


QUESTION POSTED AT 20/01/2020 - 01:15 PM

Write an algebraic expression for a number q tripled plus z doubled.

The expression would be x = 3q + 2z.

ANSWERED AT 20/01/2020 - 01:15 PM


QUESTION POSTED AT 20/01/2020 - 01:15 PM

List L consists of numbers 1, square root of 2, x, and x^2 , where x>0, and the range of the numbers in list L is 4. Which quantity is larger? A. x B. 2

If the range of the numbers in the list L is 4, then x can't be 4 since there is an element in the list that is x^2. Therefore,
0 ≤ x^2 ≤ 4 so that it would be the highest number and
0 ≤x ≤ 2

So, the value of x can be equal to 2 but not higher. So, 2 is always greater or equal to x.

ANSWERED AT 20/01/2020 - 01:11 PM


QUESTION POSTED AT 20/01/2020 - 01:11 PM

Number on the Cube Number of Times Rolled 1 16 2 14 3 5 4 17 5 21 6 27 Heads Tails 41 59 Using Jack's simulation, what is the probability of rolling a 6 on the number cube and the coin landing on heads? fraction 1,107 over 10,000 fraction 1,593 over 10,000 fraction 27 over 100 fraction 41 over 100

Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =  \frac{27}{100}
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =  \frac{41}{100}
Therefore, probability of rolling a 6 and tossing a head =  \frac{27}{100}\times\frac{41}{100}=\frac{1107}{10000}





ANSWERED AT 20/01/2020 - 01:08 PM


QUESTION POSTED AT 20/01/2020 - 01:08 PM

Given 4c + 5 = 0 and c Is a real number what is the multiplicative inverse of 4c + 5?

I think it is c^-1 = 1/[0.25*(x-5)] 

ANSWERED AT 20/01/2020 - 01:06 PM


QUESTION POSTED AT 20/01/2020 - 01:06 PM

Add any three numbers of the following and answer should be 60? (2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58)

Answer:

This is not possible.

Step-by-step explanation:

The given series is : 2 , 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58

Now, adding any three numbers to get 60, is not possible.

The numbers are in the form 2+4n where n is a positive integer.

Summing together three such numbers you get 6+4N

(N = n1 + n2 + n3, ...)

We want to get 6+4N= 60

=> 4N =54

=> n1+n2+n3 =27.5

Hence, it is not possible.

ANSWERED AT 20/01/2020 - 01:05 PM


QUESTION POSTED AT 20/01/2020 - 01:05 PM

Which quadrant is the number –14 – 5i located on the complex plane? I / II / III / IV

The first thing you have to take into account is the definition of the axis in the complex plane.

We have then:

The vertical axis represents the imaginary part.

The horizontal axis represents the real part.

We then have the following number:

-14 - 5i

Since the real part and the imaginary part are negative, then the number is located in the third quadrant of the complex plane.

Answer:

Quadrant III.

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM

#1. Given the binomials (x - 2), (x - 1), (x + 2), and (x - 4), which one is a factor of f(x) = x3 + 7x2 + 14x + 8? (x - 2) (x - 1) (x + 2) (x - 4) Given the binomials (x + 1), (x + 4), (x - 5), and (x - 2), which one is a factor of f(x) = 3x3 - 12x2 - 4x - 55? (x + 1) (x + 4) (x - 5) (x - 2) #2. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2? 6x2 - 7x + 2/3x2 - 9x + 8/ 6x2 - 7x + 2 - 8 over the quantity of x minus 2/3x2 - 9x + 8 - 8 over the quantity of x minus 2 #3. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2? #4.What is the quotient when -3x3 + 5x + 14 is divided by x - 2? -3x2 - 6x - 7/- 3x2 - x + 12/-3x2 + 6x - 7 + 28 over the quantity of x minus 2/ -3x2 - x + 12 + 28 over the quantity of x minus 2. #4. What is the quotient when x3 - 5x2 + 2x + 5 is divided by x - 2? x2 - 3x - 4/ x2 - 7x + 16/x2 - 3x - 4 - 3 over the quantity of x minus 2 x2 - 7x + 16 - 3 over the quantity of x minus 2

#1
Factoring the function:

f(x) = x3 + 7x2 + 14x + 8
f(x) = (x + 4) (x + 1) (x + 2)

From the options, (x + 2) is the factor

#2
f(x) / g(x) = (
6x3 - 19x2 + 16x - 4) / (x - 2)
This can be solved by factoring the numerator, by synthetic division or using the remainder theorem.

The result is:
6x^2 - 7x + 2 or (x - 2/3)(x - 1/2)
 
#3 same with #2

#4
(x3 - 5x2 + 2x + 5) / (x - 2)
Again, this can be solved by a number of methods, the result is:
x2 -3x - 4 - (3/x-2)

ANSWERED AT 20/01/2020 - 01:02 PM


QUESTION POSTED AT 20/01/2020 - 01:02 PM

The number of non-text books read by college students ranges from 6 to 44. Using B as the variable, write an absolute value inequality that corresponds to this range.

Find the center of the range: (7+49)/2 = 28
Find the distance from the center to the end point: 49-28 = 21
----

Absolute inequality:
|B-28| <= 21

ANSWERED AT 20/01/2020 - 12:52 PM


QUESTION POSTED AT 20/01/2020 - 12:52 PM

* During the first week students of RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 percent of the number of problems solved in the first week. In the third week they solved 60 percent of the problems they had solved during the first two weeks and, in the fourth week, they solved the remaining 320 problems. How many problems did the students solve during the month?

To solve the problem, let x be the number of monthly quota of problems. Below is the list of the problems solved each week,

1st week - 0.25x
2nd week - 1.10(0.25x)
3rd week - 0.6(0.25x + 1.10(0.25x))
4th week - 320

To solve for the monthly quota, equate the sum of all the problems solved to x and determine its value. Thus, the students solved 2000 problems all in all. 

ANSWERED AT 20/01/2020 - 12:50 PM


QUESTION POSTED AT 20/01/2020 - 12:50 PM

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots. B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots. C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots. D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Answer:

D. The expression is 3p+10. It takes 40 minutes to shape and fire 10 pots.

Step-by-step explanation:

Let the number of pots in a batch = p

Now, one pot takes 3 minutes to get in a shape.

Then, 'p' pots will take 3p minutes to get in a shape.

Also, it takes 10 minutes to fire one batch of pots.

Thus, the expression for the time taken to form one batch of pots = 3p+10

So, when number of pots = 10 i.e. p= 10.

Time taken to fire the pots = 3\times 10+10 = 30+10 = 40

That is, 'It takes 40 minutes to shape and fire 10 pots'.

Thus, option D is correct.

ANSWERED AT 20/01/2020 - 12:49 PM


QUESTION POSTED AT 20/01/2020 - 12:49 PM

A tank can contain 40 gallons of gas, but it is not completely full. How much gas is in the tank if 6.5% of the tank is empty?

The amount of gas in the tank would be 93.5%, which is .935 in decimal form. Multiply that by 40 and the answer is 37.4 gallons.

ANSWERED AT 20/01/2020 - 12:49 PM


QUESTION POSTED AT 20/01/2020 - 12:49 PM

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages: P = (20 + 0.5x) + 0.15(20 + 0.5x) Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book? x = ______________________ pages

Answer:

The maximum number of pages she can have in her book is 68 pages

Step-by-step explanation:

The price of a book can be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages:

P = (20+0.5x)+0.15(20+0.5x)

Jennifer wants to purchase a book but only has $62.10 to spend.

we will put P = 62.10

62.10 = (20+0.5x)+0.15(20+0.5x)

Solving this;

62.10 =20+0.5x+3+0.075x

=> 62.10 =23+0.575x

=> 62.10-23=0.575x

=> 39.1=0.575x

x = 68

Hence, the maximum number of pages she can have in her book is 68 pages.

ANSWERED AT 20/01/2020 - 12:49 PM


QUESTION POSTED AT 20/01/2020 - 12:49 PM