Complete the sentence to explain how to use mental math to express 12/25 as a percent
Answers
Answer: It's 48%. See below.
Step-by-step explanation:
By definition, percent means out of a hundred. For instance, 10 percent is 10 out of 100.
One way to make \(\frac{12}{25}\) a percent is by making the denominator 100. In order to do so, multiply the numerator and the denominator by 4, since 25 times 4 is 100.
\(\frac{12}{25}\) = \(\frac{48}{100}\) = 48 %
This is very simple, and mental math is definitely possible. Hope this help.
Related Questions
The Riemann sum, the limit as the maximum of delta x sub i goes to infinity of the summation from i equals 1 to n of f of the quantity x star sub i times delta x sub i , is equivalent to the limit as n goes to infinity of the summation from i equals 1 to n of f of the quantity a plus i times delta x, times delta x with delta x equals the quotient of the quantity b minus a and n. Write the integral that produces the same value as the limit as n goes to infinity of the summation from i equals 1 to n of the product of the quantity 2 plus 3 times i over n and 3 over n.
Answers
Answer:
17
Step-by-step explanation:
no questions
Find the exact value of cos θ, given that sin θ=− 12/13 and θ is in quadrant III. Rationalize denominators when applicable.
Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is positive or negative. Recall that
r=x2+y2.
IV, r/y
Answers
The exact value of cos θ is -5/13. In quadrant III, the cosine function is negative.
In quadrant III, the sine function is negative and given as sin θ = -12/13. Using the Pythagorean identity sin^2θ + cos^2θ = 1, we can find the value of cos θ.
sin^2θ = (-12/13)^2
1 - cos^2θ = (-12/13)^2
cos^2θ = 1 - (-144/169)
cos^2θ = 169/169 + 144/169
cos^2θ = 313/169
Since θ is in quadrant III, where the cosine function is negative, we take the negative square root:
cos θ = -√(313/169)
Rationalizing the denominator:
cos θ = -√(313)/√(169)
cos θ = -√(313)/13
Therefore, the exact value of cos θ is -5/13.
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Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge for the bike helmet before tax?
Answers
Answer:
$20 dollars
Step-by-step explanation:
1.80 / .09 (9% in decimal form)
= 20
Consider the following signal as "original": x(t)=t 3cos(10πt)p2(t−1) for −2≤t≤5, where pT(t) is a rectangular pulse of duration T, denoted by p2(t−1)=u(t−1+2/2)−u(t−1−2/2)=u(t)−u(t−2) Plot the original function x(t) along with the sampled version x5(t), if the sampling period is defined as (a) ts=1 s (b) t S=0.1 s; (c) t s=0.09 s.
Answers
To plot the original function x(t) and its sampled versions, we need to consider different sampling periods and apply the sampling process.
The original function is given by:
x(t) = t * 3cos(10πt) * p2(t−1)
(a) For ts = 1s:
The sampling period is 1 second. We need to evaluate x(t) at every 1-second interval within the range -2 to 5.
Sampling points: -2, -1, 0, 1, 2, 3, 4, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
(b) For ts = 0.1s:
The sampling period is 0.1 seconds. We need to evaluate x(t) at every 0.1-second interval within the range -2 to 5.
Sampling points: -2, -1.9, -1.8, ..., 4.9, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
(c) For ts = 0.09s:
The sampling period is 0.09 seconds. We need to evaluate x(t) at every 0.09-second interval within the range -2 to 5.
Sampling points: -2, -1.91, -1.82, ..., 4.91, 5
Evaluate x(t) at each sampling point to get the corresponding sampled values x5(t).
Plot the original function x(t) and the sampled versions x5(t) on separate graphs for each sampling period, showing the sampling points and the waveform.
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T-SHIRTS You can buy 3 T-shirts for $24. Write a proportion that gives the cost
cof buying 7 T-shirts.
Answers
7:56
Figure out what 7/3 is so you can multiply 24 by that number. Is is 2 1/3 so when you multiply 2 1/3 by 24 it gets you to 56 so the proportion is 7:56
a sports team has 99 jerseys numbered 1, 2, 3, . . . , 99. show your work for each part. (a) (2 points) how many ways are there to choose 2 different jerseys, without order, such that their numbers sum to 100?
Answers
a sports team has 99 jerseys numbered 1, 2, 3, . . . , 99. show your work for each part, 49 pairs many ways are there to choose 2 different jerseys, without order, such that their numbers sum to 100, using the concept of combination formula.
What is combination formula?The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.
The formula becomes: \(^nC_r\)
Where, n = total number of objects
r = number of choosing objects.
Sports team has 99 jerseys. So, 49 pairs will be possible to have their sum is 100.
Example - (1+99), (2+98),......,(49+51)
Thus, there are 49 ways to choose two different jerseys.
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PLZ HELP: is the inverse of the function a function? Yes or No
Answers
Answer:
yes
Step-by-step explanation:
It passes the horizontal line test
how many ways can we have the 2n people stand in a line so that no person is standing next to their spouse?
Answers
The variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Explain the term exclusion and inclusion?Everything a study needs to meet the inclusion criteria is included. Exclusion criteria are indeed the elements that would exclude a study from inclusion. The following criteria should be taken into account: studies of this kind: It is crucial to choose publications with a study design that is relevant for the research issue.The step for the simplification are-
Utilizing exclusion and inclusion to determine that at least 1 wife is seated next to her husband in the total number of ways to seat 2n individuals in 2n chairs.Let A1 represent the attribute in which at least 1 wife can be seen sitting next to her husband.The wife and husband are then "merged" into one person. We have (nC1) options to select one pair from n couples, leaving us with (2n) to position (2n) "people" in order to obtain (2n)! and so forth.Finally, on a broad note:
(2n)! - (2(ⁿC₁)(2n - 1)! - 2²(ⁿC₂)(2n - 1)! + .....2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
On further simplifying;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Thus, the variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
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A random sample of students were surveyed as to how much non-school screen time
they had each week (for purposes of the survey, screen time was defined as: time
spent online, on social media, watching TV, or playing video games) and if their grade
average was above or below 80.
Screen Time
less than 4 hours
4-8 hours
8-12 hours
more than 12 hours
above below
6
15
9
13
17
17
11
20
How many total students who spend more than 12 hours a week on screens were
surveyed?
Answers
The correct answer is that 13 students who spend more than 12 hours a week on screens were surveyed.
The provided data represents the number of students based on their screen time and whether their grade average is above or below 80.
To find the total number of students who spend more than 12 hours a week on screens, we need to look at the "Screen Time" category that corresponds to "more than 12 hours" and sum up the corresponding counts.
Looking at the data:
Screen Time:
less than 4 hours: 6 students
4-8 hours: 15 students
8-12 hours: 9 students
more than 12 hours: 13 students
If we consider only the "more than 12 hours" category, we find that there were 13 students.
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b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
Answers
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
Last Wednesday 2 friends met up after school to read a book. They were both assigned and leisure class Angie can read one page per minute and she already read 23 pages Lara who has reading speed of three pages for a minute and read 13 pages. Eventually, they read the same, repeated how many pages had each of them read how long did it take?
Answers
They would have read the same number of pages, regardless of the specific value of 'x'. Angie's final total would be 23 + x pages, Lara's final total would be 13 + x pages, and they would have taken 'x' minutes to reach this point.
To determine the number of pages each of them had to read and how long it took, let's denote the number of pages Angie needed to read as 'x', and the time it took her to read those pages as 't'. Similarly, Lara needed to read 'x' pages to catch up with Angie.
Since Angie reads one page per minute, her reading time would be 'x' minutes. On the other hand, Lara reads three pages per minute, so her reading time would be 'x/3' minutes.
To find the values of 'x' and 't', we can set up the following equations:
Equation 1: Angie's pages + Angie's reading time = Lara's pages + Lara's reading time
Equation 2: Angie's reading time = Lara's reading time
Using Equation 2, we can substitute Angie's reading time with 'x':
x = x/3
Multiplying both sides by 3:
3x = x
Since both sides of the equation are equal, we can conclude that 'x' can take any positive value. This means that Angie and Lara can read any number of additional pages as long as they are equal.
For the total number of pages they read, Angie already read 23 pages, so her final total would be 23 + x. Lara initially read 13 pages, and she also needs to read 'x' pages to catch up, so her final total would be 13 + x.
As for the time it took them, Angie took 'x' minutes to read her additional pages, and Lara took 'x/3' minutes to read hers. Therefore, the time it took for both of them to read the same number of pages is 'x' minutes.
In summary, they would have read the same number of pages, regardless of the specific value of 'x'. Angie's final total would be 23 + x pages, Lara's final total would be 13 + x pages, and they would have taken 'x' minutes to reach this point.
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Question
Last Wednesday, Angie and Lara met up after school to read a book. Angie has a reading speed of one page per minute, and she had already read 23 pages. Lara, on the other hand, reads at a speed of three pages per minute and had read 13 pages.
what is 4.22 x 10^17 seconds
Answers
We can rewrite the given time as:
7.03x10^15 mins 1.17x10^14 hours.4.88x10^12 days.What is 4.22x10^17 seconds in minutes and hours?First, remember that:
60s = 1 min
Then to write that amount in minutes, we just need to divide by 60, so we get:
(4.22x10^17)/60 mins= 7.03x10^15 mins
Now, remember that:
1 hour = 3600s
Then to get the time in hours, we need to divide by 3600:
(4.22x10^17)/3600 h = 1.17x10^14 hours.
Similarly, you can change to any time unit that you want, for example:
1 day = 24*3600 s
Then the time in days is:
(4.22x10^17)/(24*3600) days = 4.88x10^12 days.
And so on.
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solve for y
a. 7 cm
b. 20 cm
c. 14 cm
d. 10 cm
Answers
Answer:
20 cm
Step-by-step explanation:
We can use ratios to solve
We know x = 7 since they are of equal length
x x+7
----- = -------
10 y
7 7+7
----- = -------
10 y
Using cross products
7y = 14*10
7y = 140
Divide by 7
7y/7 = 140/7
y = 20
10. need help with this question-percentages and proof
Answers
Answer:
the value increased by0.0388
Step-by-step explanation
4% - 3% equals 0.0388 becuase its the diffrence between them is 0.0388
HELP ME PLZZZ!!!! URGENT!!!
Answers
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = \((p+1)^2-4(1)(2p-5)\)
For real roots,
\((p+1)^2-4(1)(2p-5)>0\)
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
please help!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
d
Step-by-step explanation: it is that answer because (r+s)t=rt+st is you r answer i did it and i got it correct please mark me as brainlist
need help with my assignment
Answers
Considering a growth factor of 10, the values of the exponential function are given as follows:
1 hour: 10 bacteria.2 hours: 100 bacteria.3 hours: 1,000 bacteria.4 hours: 10,000 bacteria.5 hours: 100,000 bacteria.6 hours: 1,000,000 bacteria.What is an exponential function?An exponential function is a function in which when the input x is increased by one, the output y is multiplied by the growth factor.
From the table given in the problem, the growth factor is of 8, meaning that when the input variable representing the number of hours is increased by one, the output is always multiplied by 8.
For the second table, which we have to fill, the growth factor is of 10, meaning that for each hour, the number of bacteria is given by the number of bacteria in the previous hour multiplied by 10, then:
10 x 1 = 10. (hour 1).10 x 100 = 100(hour 2).And so on...
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Martin took 16s to run 120m. What was his speed in m/s ?
Answers
120/16
=7.5 m/s
in PE class, Josiah and his friends had to measure their heights. They each
used a different measurement tool, and then recorded their heights in the
chart below.
Josiah is 1 yard
Andy is 3 1/2 feet
Frank 31 inches
Question : Which of the following lists the boys’ heights in the correct order from
tallest to shortest?
Answer Choices:
A. Josiah, Andy, Frank
B. Frank, Josiah, Andy
C. Andy, Frank, Josiah
D. Andy, Josiah, Frank
Answers
Answer:
D
Step-by-step explanation:
3 1/2 = 1 yard and 1/2 inch then a yard then 31 divided by 12 is 2.??
Solve by using Substitution: 3x-y=13 2x +2y = -10
Answers
4 qt =
С
Show me the steps please
Answers
Answer:
cups =15.99994. according to the holy bible.
Step-by-step explanation:
1).
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples.
After eating 1 apple from each bag, she had 28 apples left.
b. What part of the story does x represent?
2022
Answers
Answer:
number of apples in each bag
19 dozen cookies to individual cookies
Answers
Answer:
228 individual cookies.
Step-by-step explanation:
To convert 19 dozen cookies to individual cookies, we first have to identify that:
\(dozen=12\)
If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:
\(19*12=\)
\(228\)
Therefore, there are 228 individual cookies.
-
We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:
\(228\) ÷ \(19=12\)
\(228\) ÷ \(12=19\)
As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!
if I have 100 baskets and I have 400 hundred apples how many apples will go into each basket
Answers
Answer: 4 apples will go into each basket if you want all the baskets to be filled with an equal amount.
Step-by-step explanation:
100x=400
dividing through by 100 we get
x=4
The scatter plot shows the results of a survey in which 10 people were asked how many e-mail accounts and how many credit cards they have. How many e-mail accounts does the person with 7 credit cards have? ANSWER ASAP
Answers
Answer:
5
A person with 7 credit cards has 5 credit cards
Answer:
5
Step-by-step explanation:
A camera shop stocks six different types of batteries, one of which is type A7b. Suppose that the camera shop has only twelve A7b batteries but at least twenty of each of the other types. Now, choose the correct answer for the following question - How many ways can a total inventory of twenty batteries be distributed among the six different types? C(24, 20) - C(12,7) C(25, 20) - C(12,7) C(20, 15) - C(13,7) C(25, 20) - C(13,7)
Answers
D: C(25, 20) - C(13,7) represents the number of ways a total inventory of twenty batteries be distributed among the six different types.
To find the total number of ways to distribute the twenty batteries among the six different types, we need to use the stars and bars method. Using this method, the number of ways to distribute 20 batteries among 6 different types is C(20 + 6 - 1, 6 - 1) = C(25, 5).
However, since we have only 12 A7b batteries, we need to subtract the cases where we distribute more than 12 A7b batteries. To do this, we calculate the number of ways to distribute the remaining 8 batteries among the 5 types other than A7b, which is C(8+5-1, 5-1) = C(12,4). Therefore, the total number of ways to distribute 20 batteries among the six different types while keeping at least 12 A7b batteries is C(25, 5) - C(12, 4) = C(25, 20) - C(13, 7).
The correct answer is option D.
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The table represents a continuous exponential function f(x). x 2 3 4 5 f(x) 12 24 48 96 Graph f(x) and identify the y-intercept.
a. 0
b.3
c.6
d.12
Answers
The graph of the continuous exponential function f(x) with the given values of x and f(x) is as follows:
The y-intercept of the function f(x) is the value of f(x) when x = 0. Therefore, the answer is 0.option(a)
However, we can't calculate the y-intercept directly from the given data because the function is only defined for positive values of x.
To estimate the value of the y-intercept, we can look at the graph and notice that the curve appears to be very steep and is increasing rapidly.
This indicates that the y-intercept is probably close to zero.
The graph of the continuous exponential function f(x) with the given values of x and f(x) shows a curve that is increasing rapidly as x increases.
This indicates that the function is an exponential growth function with a base greater than 1.The equation for an exponential growth function with base b and initial value a is given by:
f(x) = a * b^x
We can use the given data to find the base b by using the formula:
\(f(3)/f(2) = b^1f(4)/f(3) = b^1f(5)/f(4) = b^1\)
Substituting the given values of f(x), we get:
\(24/12 = b^1 = b48/24 = b^1 = b296/48 = b^1 = b\)
Simplifying each equation, we get:b = 2 for all three equations
Therefore, the equation for the function is: \(f(x) = 12 * 2^x\). option(a)
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9(p−4)=−18 p= I am not great at math, please explain just a little bit
Answers
Answer:
\(\large \boxed{{p=2}}\)
Step-by-step explanation:
9(p-4) = -18
Expand brackets.
9p -36 = -18
Add 36 on both sides.
9p -36 + 36 = -18 + 36
9p = 18
Divide both sides by 9.
(9p)/9 = 18/9
p = 2
Answer:
p = 2
Step-by-step explanation:
9(p - 4) = -18
You are solving for the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 9 from both sides:
(9(p - 4))/9 = (-18)/9
(p - 4) = -18/9
p - 4 = -2
Isolate the variable, p. Add 4 to both sides:
p - 4 (+4) = -2 (+4)
p = -2 + 4
p = 4 - 2
p = 2
Check. Plug in 2 for p in the equation:
9(p - 4) = -18
9(2 - 4) = -18
9(-2) = - 18
-18 = -18.
~
You are driving in a car and need to drive 300 miles. Your average speed for the first 100 miles is b miles per hour. Your speed
for rest of the trip is c miles per hour.
Write an equation for the total time, T, in hours it took to get to your destination.
T=
Answers
Step-by-step explanation:
speed = distance/time
so,
distance = speed × time
and
time = distance / speed = distance / distance/time
therefore,
T = 100/b + 200/c
as we have first 100 miles with the speed b, and the rest of the 300 miles trip is 300-100 = 200 miles with the speed c.
You are forecasting a stock to pay the following dividends: $2.65,$5.15,$4. The dividends will then begin declining at a rate of 7.0% for the foreseeable future. What is the intrinsic value of this stock if the required return is 14% ? Your Answer: Answer
Answers
The intrinsic value of the stock is $47.80.
The intrinsic value of a stock is calculated using the dividend discount model (DDM).
The DDM formula is as follows:
Dividend / (Required Rate of Return - Dividend Growth Rate)
Given the dividend stream of $2.65, $5.15, and $4, we must first calculate the dividend growth rate.
The dividend growth rate is computed using the formula below:
Dividend Growth Rate = (Dividend in year 2 - Dividend in year 1) / Dividend in year 1= ($5.15 - $2.65) / $2.65= 94.34%
We are given that the dividends will begin declining at a rate of 7% for the foreseeable future.
As a result, we must decrease the dividend growth rate from 94.34% to 7%.
Next, we can now solve for the intrinsic value of the stock using the following equation:
Dividend / (Required Rate of Return - Dividend Growth Rate)Initial Dividend = $2.65
Dividend in year 1 = $5.15
Dividend in year 2 = $4
Required rate of return = 14%
Dividend growth rate = 7%
When we plug these values into the formula, we get:
2.65 / (0.14 - 0.07) + 5.15 / (1.14) + 4 / (1.14)²= $47.80
Therefore, the intrinsic value of this stock is $47.80 when the required return is 14%.
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