Final answer:
To convert a whole number to a percent, multiply the number by 100. This process turns the whole number into a fraction with a denominator of 100, which can then be written as a percent. This simple multiplication can be done on most calculators.
Explanation:
Converting Whole Numbers to Percent
To convert a whole number to a percent, you simply need to think of the whole number as a fraction with a denominator of 1 and then convert it to an equivalent fraction with a denominator of 100. Once you have this fraction, you simply write it as a percent. Here is a step-by-step process using a calculator:
Since a whole number is over 1, multiply this number by 100. (5 * 100).
The result will be the whole number as a percent (e.g., 500%).
It's important to remember that calculating percents is essentially finding out how many parts out of a hundred the number represents. When using a calculator, this process may involve additional steps or functions, depending on the calculator's design.
For example, with some calculators, you can enter the number, press the multiplication key, enter 100, and then press the equals key to get the percent (e.g., 5 * 100 = 500%).
Remember that calculating percents can be further applied to situations where you have a 'part' and you want to find out what percentage that 'part' is of a 'total'. In such cases, you would divide the 'part' by the 'total' and multiply by 100 to get the percentage. For instance, if 13 out of 35 students in a class wear sandals, the percentage of students wearing sandals can be calculated as (13/35) * 100 which equals approximately 37%.
Use the figure to answer the questions
a. Explain why the triangles are similar
Geometry - Shaping Sheet
Triangle ______ and Triangle ______ are similar by the __________ postulate. This postulate works because __ (explain your reasoning here) ________.
*Use this format to appropriately write your answer below this box.
b. Find the value of x
Answer:
A. EAB and EDC by AAA because congruent corresponding angles lead to similar triangles regardless of side length. This postulate works because the parallel lines cause angle a and angle d to be congruent as well as angle b being congruent to angle c, and vertical angle e is congruent.
Step-by-step explanation:
Given the parallelogram ABCD, solve for X when angle A equals (30+ 5x)° and angle D equals (15+10x)° degrees. Also, sides AB and CD opposite each other.
Answer:
x = 9
Step-by-step explanation:
Adjacent angles A and D are supplementary:
(30 +5x)° +(15 +10x)° = 180°
15x +45 = 180 . . . . . collect terms, divide by °
15x = 135 . . . . . . . . . subtract 45
135/15 = x = 9 . . . . . divide by the coefficient of x
The value of x is 9.
Need help with a math question
Answer:
There are 10 possible ways the student can schedule the three classes
Step-by-step explanation:
The college student is choosing 3 classes to take during the first, second, and third semester from 5 electives.
Therefore, the student is choosing 3 items from a total of 5 and the order is not of key concern here. This is thus a combination problem;
5C3 = 10
read as 5 choose 3
The above mathematical operation can be performed using any modern calculator.
Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?
Answer:
Probably because learning to do polynomials by hand boosts understanding of the topic and improves general algebraic solving ability,both of which are required in further topics like advanced calculus and algebra
Learning polynomial division by hand is crucial for understanding concepts, enhancing problem-solving skills, and fostering critical thinking in mathematics.
Explanation:The importance of learning polynomial division by hand despite the availability of computer algebra systems lies in developing a deep understanding of the underlying concepts, fostering problem-solving skills, and enabling visualization of geometric interpretations.
By manually carrying out mathematical operations, students can better grasp the logic behind the processes, which aids in building a strong foundation for more complex mathematical tasks.
Furthermore, mastering hand calculations equips students with the ability to perform quick mental math, apply critical thinking skills, and comprehend the practical applications of the mathematical concepts.
Choose the correct reason for each algebraic statement. A. Subtraction Property of Equality B. Combine like terms C. Distributive Property D. Division Property of Equality 3.__ 4.__ 5.__ 6.__
Answer:
b
Step-by-step explanation:
hope this helps
The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?
Answer:
The right answer is B: The probability is equal to p%.
Step-by-step explanation:
Solve using elimination PLEASE I NEED HELP!!! IT WOULD REALLY MEAN A LOT IF ANYONE CAN ANSWER THIS! 16 POINTS!!!
2x+4y=1
x-4y=5
Answer:
(x, y) = (2, -3/4)
Step-by-step explanation:
The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.
The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.
(2x +4y) +(x -4y) = (1) +(5)
3x = 6 . . . . . simplify
x = 2 . . . . . . divide by 3
Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:
2(2) +4y = 1
4y = -3 . . . . . . subtract 4
y = -3/4
Then the solution is ...
(x, y) = (2, -3/4)
_____
A graphing calculator confirms this solution.
The perimeter of a rectangular garden is 64 centimeters. The length of the garden is three times the width. Find the length
and the width
Answer:
width 8 centimeters
length 24 centimeters
Step-by-step explanation:
L=3W : equation a .
W=64/xW : equation b .
x=2L+2W .
=2(3W)+2W .
x=8W .
Answer:
Length = 24 cm
and, Width = 8 cm
Step-by-step explanation:
It is given that,
Length = 3 × (width)
⇒ L = 3W → (1)
Also, since perimeter = 64 cm
And perimeter of rectangular garden = 2(L + W) = 64
From equation (1)
2(3W + W) = 64
2 × 4W = 64
⇒ 8W = 64
⇒ W = 8 cm
Putting value in equation (1)
L = 3 × 8 = 24 cm
thus, Length = 24 cm
and, Width = 8 cm
When probability is not found by considering all possible outcomes, but by testing and experimentation, it is called _____ probability.
Answer:
Step-by-step explanation:
Observational probability
Did I do the first question right? can anyone please help me with the 2nd question? Would really appreciate the Help
Answer:
8. 1483.33
9. 21 months
Step-by-step explanation:
8. Morgan's income after taxes is 55000/12 = 4583.33 per month. The amount available after expenses is 4583.33 -3100.00 = 1483.33 per month.
Morgan is able to put $1483.33 per month into savings.
__
9. If Morgan is able to save $1483.33 per month, it will take her ...
$30,000/$1483.33 ≈ 20.2
months to save $30,000. After 20 months, she won't have quite enough, so it will take her one more month to save the desired amount.
It will take Morgan about 21 months to save $30,000.
_
If you like, you can write an equation for "m", the number of months it will take Morgan to save 30,000:
1483.33×m = 30,000
m = 30,000/1483.33 ≈ 20.2 . . . . . . divide by the coefficient of m
The LAST QUESTION PLEASE HELP
The position d of a block that is attached to a spring is given by the formula d=6cos(pi/2 t) where t is in seconds. What is the maximum distance of the block from its equilibrium position (the position at which d = 0)? Find the period of the motion.
Step-by-step explanation:
Waves have the form:
y = A sin (2π/T x + φ) + B
where A is the amplitude (the distance from the center of the wave to the max or min),
T is the period (time it takes for one cycle),
φ is the phase shift (moves the wave left or right),
and B is the offset (moves the wave up or down).
This can also be written with cosine.
Here, we have d = 6 cos(π/2 t).
The amplitude is A = 6, so the maximum distance from the equilibrium position is 6 units.
The period is:
2π / T = π/2
T = 4
So the period is 4 seconds.
Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The culture grows at a rate of 25% daily. The scientists needs at least 10,000 bacteria to conduct an experiment. What is the least number of days they need to wait for the bacteria culture to reach a quantity of 10,000? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.)
Answer:
7 days
Step-by-step explanation:
At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.
"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.
_____
We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)
PLEASE HELP ME!!!
Find p(–5) and p(3) for the function p(x) = 2x5 – 9x4 – 2x2 + 12x – 2. Question 8 options: –11,915; –251 –4,487; –551 –11,985; –225 –11,987; –227
Answer:
p(-5)=-11,987
p(3)=-227
Step-by-step explanation:
To find the value of the function p(-5) just substitute x=-5 into the function expression instead of x:
[tex]p(-5)=2\cdot (-5)^5-9\cdot (-5)^4-2\cdot (-5)^2+12\cdot (-5)-2=\\ \\=-6,250-5,625-50-60-2=-11,987[/tex]
To find the value of the function p(3) just substitute x=3 into the function expression instead of x:
[tex]p(3)=2\cdot 3^5-9\cdot 3^4-2\cdot 3^2+12\cdot 3-2=\\ \\=486-729-18+36-2=-227[/tex]
Answer with Step-by-step explanation:
We are given a function:
[tex]p(x) = 2x^5-9x^4-2x^2+12x-2[/tex]
We have to find the value of p(-5) and p(3)
[tex]p(-5) = 2\times (-5)^5-9\times (-5)^4-2\times (-5)^2+12\times (-5)-2\\\\=-6250-5625-50-60-2\\\\=-11987[/tex]
[tex]p(3) = 2\times 3^5-9\times 3^4-2\times 3^2+12\times 3-2\\\\=486-729-18+36-2\\\\=-227[/tex]
Hence, p(-5)= -11987
and p(3)= -227
Adelia drove from her house to Townsville one evening. Her distance was 180 miles. She left home at 6:27 and was at townsville at 6:42 what was her speed
Answer: 720 mph or 12 miles a minute
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
(I actually have the problem in front of me, and I think you switched the minute and hour hands on the clock)
Adel
left at 5:30 and arrived at 8:30. That’s 3 hours, which is 180 minutes. 180/180 = 1 mile per minute
60 minutes in an hour
60*1 = 60 mph
Find four solutions of the given function. Write the solutions as ordered pairs.
4x – y = 4
The four solutions to the function 4x - y = 4 are determined by selecting different x values and calculating the corresponding y values, resulting in the ordered pairs (0, -4), (1, 0), (2, 4), and (3, 8).
Explanation:To find four solutions to the function 4x – y = 4, we need to choose four different values for x and compute the corresponding y values.
For example, let's choose x = 0, x = 1, x = 2, and x = 3. Substituting these values into the equation:
For x = 0: 4 * 0 - y = 4, so y = -4 For x = 1: 4 * 1 - y = 4, so y = 0 For x = 2: 4 * 2 - y = 4, so y = 4 For x = 3: 4 * 3 - y = 4, so y = 8
So the four solutions (order pairs) are (0, -4), (1, 0), (2, 4), and (3, 8).
Learn more about Finding solutions here:https://brainly.com/question/33750042
#SPJ2
To find solutions for the given equation 4x - y = 4, pick x values and plug them into the equation to solve for y, resulting in ordered pairs like (0, -4) and (1, 0).
Given equation: 4x - y = 4
Choose x values and plug them into the equation to solve for y.
Write the solutions as ordered pairs (x, y).
Four solutions are (0, -4), (1, 0), (2, 4), and (3, 8).
On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.
Which expression correctly used the formula, to find the location of point R?
Answer:
Step-by-step explanation:
The distance from Q to S is 2 - (-14), or 16.
We start at point Q. Note how 3 and 5 add up to 8, which allows us to write:
R = Q + (3/8)(16), or R = -14 + 6, or R = -8.
From R to S it is (5/8)(16), or 10 units.
The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.
Answer:
14/5 or A
Step-by-step explanation:
I just took this assignment.
How many combinations of 7 candidates can fill 3 vacancies on a city council?
Answer:
35 combinations
Step-by-step explanation:
You have to use the formula for finding combinations in probability. It looks like this:
₇C₃ = [tex]\frac{7!}{3!(7-3)!}[/tex]
so that gives you
₇C₃ = [tex]\frac{7*6*5*4!}{3*2*1*4!}[/tex]
The 4 factorials cancel each other out, and when you do the math, you get 210/6. That divides evenly into 35. So there are 35 combinations.
A bag contains marbles: 10 2 are green, 3 are red, and 5 are blue. Debra chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer: The slope of the line is: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The slope can be calculated with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
You need to choose two points of the line. You can pick the point (6,2) and the point (-6,-6)
You can identify that:
[tex]y_2=-6\\y_1=2\\x_2=-6\\x_1=6[/tex]
Now, you must substitute these values into the formula:
[tex]m=\frac{-6-2}{-6-6}[/tex]
With this procedure you get that the the slope of the line on the graph is:
[tex]m=\frac{-8}{-12}[/tex]
[tex]m=\frac{2}{3}[/tex]
PLEASE HELP ME
There are two answers!
x=-3
x = -2
x = -1
x = 0
x = 1
x = 2
x = 3
Answer:
x = 0x = 1Step-by-step explanation:
Find two rows in the table that have the same values in the f(x) and g(x) columns.
HELP PLEASE! ONLY 5 MORE MINUTES! Look at the following shape below: Please find the PERIMETER of the following shape using the correct formulas. Use 3.14 for pi.
Answer:
The perimeter is [tex]P=73.12\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so
[tex]P=\pi r+4(b)-D[/tex]
we have
[tex]r=8\ cm[/tex]
[tex]b=16\ cm[/tex]
[tex]D=16\ cm[/tex]
The diameter of the circle is equal to the length side of the square
substitute
[tex]P=(3.14)(8)+4(16)-16[/tex]
[tex]P=25.12+64-16[/tex]
[tex]P=73.12\ cm[/tex]
You watch a roulette wheel spin 8 consecutive times and the ball lands on a red slot each time. what is the probability that the ball will land on a red slot on the next spin?
Answer:
0.5
Step-by-step explanation:
A roulette wheel is half red and half black. Each spin is independent: past spins don't change the probability of future spins. So even if you got 8 reds in a row, the probability of the next spin being red is still 50/50.
. Solve the following system of equations: 1. y - 3x + 15 = 10
2. 6 - 4x = y
The first equation can be further simplified so first do that by subtracting 15 to both sides
y - 3x + (15 - 15) = 10 - 15
y - 3x = -5
We know from the second equation that y is 6 - 4x so in the equation y - 3x = -5 plug in 6 - 4x for y
(6 - 4x) - 3x = -5
6 - 4x - 3x = -5
Combine like terms
6 - 7x = -5
(6 - 6) - 7x = -5 - 6
-7x = -11
Isolate x
-7x/-7 = -11/-7
x = 11/7
To solve for y plug in 11/7 in for x in the equation 6 - 4x = y
6 - 4(11/7) =y
6 - 44/7 = y
y = -2/7
so...
(11/7 , -2/7)
Hope this helped!
~Just a girl in love with Shawn Mendes
1.) Solving for X problem 1#
y-3x+15=10
-3x+15-15=10-15-y
-3x=-y-5
-3x/-3=-y-5/3
x=(-y-5)/3
2.) Solving for Y problem 1#
y-3x+15=10
y-3x+3x+15-15=10-15+3x
y=3x-5
1.) Solving for X problem 2#
6-4x=y
-4x+6-6=y-6
-4x/4=y-6/4
x=(y-6)/4
2.) Solving for Y problem 2#
6-4x=y
y=-4x+6
Points A and B have coordinates (3,1,2) and (1,-5,4) respectively. Point C lies on line AB such that AC:BC=3:2. Find position vector of Point C.
Final answer is (-3,-17,8)
Answer:
The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k
Step-by-step explanation:
* Lets revise how to solve the problem
- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and
point (x , y , z) divides the segment externally at ratio m1 :m2, then
[tex]x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}[/tex]
* Lets solve the problem
∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)
∵ Point C lies on line AB such that AC : BC=3 : 2
∵ From the ratio AC = 3/2 AB
∴ C divides AB externally
- Lets use the rule above to find the coordinates of C
- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)
and AC : AB is m1 : m2
∴ x1 = 3 , x2 = 1
∴ y1 = 1 , y2 = -5
∴ z1 = 2 , z2 = 4
∴ m1 = 3 , m2 = 2
- By using the rule above
∴ [tex]x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3[/tex]
∴ [tex]y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17[/tex]
∴ [tex]z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8[/tex]
∴ The coordinates fo point c are (-3 , -17 , 8)
* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k
I need help
You find 20 books that you checked out from the library as you are cleaning your room. You need to take 4 books back to the library, and you want to set them aside in a pile on your desk. Â
How many ways can 4Â of the 20Â books be arranged in a pile?
Answer:
the answer is 20P4 = 4845
Step-by-step explanation:
Answer:
There are 20 ways to pick the first book, 19 ways for the second
Step-by-step explanation:
If order of the 4 books does not matter then
₂₀C₄ = 20! / (20-4)!4! = 20!/(16!*4!) = 4845 ways
By what factor does the area change if one diagonal is doubled? Explain.
The area of deltoid is defined by formula:
[tex]A=\dfrac{e\cdot f}{2}[/tex]
Where e and f are diagonals.
If you were to double the size of either one. Let's say f. You would result with:
[tex]A=\dfrac{e\cdot2f}{2}=e\cdot f[/tex]
Which means if either of diagonals double in length the area of deltoid will be twice as big as it was before.
Hope this helps.
r3t40
the kite, which looks more like a rhombus but being called a kite, will look like the one in the picture below.
now, as you see in the picture, the kite is really 4 congruent triangles, each with a base of 2.5 and a height of 5, so their area is
[tex]\bf \stackrel{\textit{area of one triangle}}{\cfrac{1}{2}(2.5)(5)}\implies 6.25\qquad \qquad \stackrel{\textit{area of all four triangles}}{4\left[ \cfrac{1}{2}(2.5)(5) \right]}\implies 25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doubling the base or height}}{4\left[ \cfrac{1}{2}(2.5)(5)\underline{(2)} \right]}\implies \stackrel{\textit{the area is twice as much as the original}}{\underline{(2)}~~\left[ 4\left[ \cfrac{1}{2}(2.5)(5) \right] \right]}[/tex]
what is 12.25 as a fraction
Answer:
[tex]\large\boxed{12.25=\dfrac{49}{4}}[/tex]
Step-by-step explanation:
[tex]12.\underbrace{25}_{2}=\dfrac{1225}{1\underbrace{00}_2}=\dfrac{1225:25}{100:25}=\dfrac{49}{4}\\\\12.25=12+0.25=12+\dfrac{25}{100}=12+\dfrac{25:25}{100:25}=12+\dfrac{1}{4}\\\\=\dfrac{12\cdot4}{4}+\dfrac{1}{4}=\dfrac{48+1}{4}=\dfrac{49}{4}[/tex]
Hamad made a cuboid of size 2cm X 3cm X 4cm. How many such cuboids will be required to make a cube?
Answer:
576 cuboids
Step-by-step explanation:
Let
x -----> the length side of the cube
n -----> number of cuboids that are needed
we know that
The volume of the cuboid is equal to
[tex]V=(2)(3)(4)=24\ cm^{3}[/tex]
The volume of the cube is equal to
[tex]V=x^{3}[/tex]
Find the number of cuboids that are needed
[tex](n)24=x^{3}}[/tex]
n*24 must be a perfect cube
so
The minimum value that satisfied n to make n*24 a perfect cube is n=576
[tex]576*24=13,824=24^{3}[/tex]
Answer:
576 Cuboids
Step-by-step explanation:
Please answer this multiple choice question correctly for 30 points and brainliest!!
Answer:
D. 64 and 81
Step-by-step explanation:
The best benchmarks are the ones that are the closest to the value you want the root of. Perfect squares in that neighborhood are ...
7² = 498² = 64your number = 709² = 8110² = 100The closest are 64 and 81.
Help! the file is attached
Answer:
924/5 ft/s369.6 ftStep-by-step explanation:
126 mi/h = (126 mi)/(1 h)·(5280 ft)/(1 mi)·(1 h)/(3600 s) = (126·5280/3600) ft/s
126 mi/h = 184.8 ft/s = 924/5 ft/s
__
In 2 seconds, the parachutist falls ...
(184.8 ft/s)·(2 s) = 369.6 ft