The prime factorization of 100 is 4x25. Show a factor tree!
Answers
Answer:
See details below:
Step-by-step explanation:
We can start with the biggest factors and work our way down to see how arrive at 4 * 25.
In this case, the first part of the tree would be 50 * 2.
2 is prime, but 50 is not and thus must be factored.
Two possible factors of 50 are 2 and 25.
The 25 is not a prime number and must be factored further.
Two possible factors of 25 are 5 and 5.
Thus, the prime factorization of 100 is 2*2*5*5.
Then to simplify, we can combine the similar factors: (2*2) * (5*5) = 4*25
I hope this makes sense
Related Questions
please show your work and no links
and please do the one that are blank
Answers
Answer:
its blury
Step-by-step explanation:
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. card q’s balance increased by $7.22 more than card p’s balance. b. card q’s balance increased by $6.69 more than card p’s balance. c. card p’s balance increased by $3.43 more than card q’s balance. d. card p’s balance increased by $0.80 more than card q’s balance. please select the best answer from the choices provided a b c d
Answers
The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:
Case 1: For card p:Initial amount = p = $726.19
The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding semiannually, that means twice per year, thus, n = 2
Thus, the final amount in card p after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]
Case 2: For card q:Initial amount = p = $855.20
The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)
Years for which amount is compounded = 4 years, Thus, t = 4
The interest is compounding monthly, that means twelve times per year, thus, n = 12
Thus, the final amount in card q after 4 years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]
Clearly card q has more amount than card p at the end of 4 years.
The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)
Learn more about compound interest here:
https://brainly.com/question/1329401
Please solve for the value of 3
Answers
Answer:
P = 45
Step-by-step explanation:
180 - 90 = 90
90 / 2 = 45
P = 45
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Please help :)))))))))))
Answers
Answer:
Your answer is C and D
Step-by-step explanation:
Answer:
D. y = -x - 1
Step-by-step explanation:
We are using slope-intercept form for this problem.
Since this line is going from upper left to bottom right we know it will have a negative slope.
The line intersects the y-axis at -1, so the b value is -1.
The equation for this line is D. y = -x - 1
LOOK AT THE PICTURE AND ANSWER THE QUESTION TO GET MARKED BEST.
what is the value or x?
10.4
52
61.6
92
Answers
Answer:
x = 10.4
Step-by-step explanation:
This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.
To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.
Answer:
52
Step-by-step explanation:
180-128=52
the whole angle is 180
why is a parallelogram not always a rectangle
Answers
Answer:
A parallelogram by definition has 2 pairs of parallel sides.
A parallelogram could be:
____________
| |
|___________|
A rectangle in euclidean geometry has 4 right angles.
For example:
________________
| |
|_______________|
However, a parallelogram may have 2 pairs parallel sides but not 4 right angles.
For example:
______________
\ \
\______________\
Therefore, A parallelogram is not always a rectangle.
Hope this helps!!!
Please mark me as brainliest!!!
In the figure below, k || l and m || n. Find the values of y and x.
Answers
Answer:
x = 30
y = 115
Step-by-step explanation:
Suppose line m is parallel to line n:
65+y = 180 because they are supplementary angles
subtract 65 from both sides
y = 115
angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:
3x + 25 = 115 subtract 25 from both sides
3x = 90 divide both sides by 3
x = 30
Question 1 of 5
What is the spread of the data?
..
. .
14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
Age of female U.S. Olympic swimmers (years)
A. 15 to 32 years
B. 14 to 33 years
O C. 24 to 32 years
D. 15 to 24 years
Answers
The lowest is 14 and the highest is 33.
please help with this question
Answers
Answer:
your answer is 1,-2
Step-by-step explanation:
if brainly doesn't let me put this question..
Answers
Answer:
8-4+9+3+6-6=36 this is my answer
What’s the answer to the blank
Answers
Answer:
13.93
Step-by-step explanation:
find the mean
11.60 + 16.25 ÷ 2 = 13.93
find the percentage profit in each case cost price 20 selling price 25
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
for profit percentage
p% =(sp-cp/cp)×100%
=(25-20/20)×100%
=25%
The profit percentage is 25%
Which symbol would correctly compare the values shown be
1-8|?|8
Answers
Answer:
=
Step-by-step explanation:
|-8|?|8|
8 ? 8
8 = 8
Hope this helps :)
HELP MEEEEEEEEEEEEEEEE
Answers
So multiply 6 1/2 x 10 4/5
The answer is 351/5 or 70.5
The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?
Answers
The answers are
a)640-500
b) + 28%
The ratio of the measures of the sides of a triangle is 2:11:15. If the perimeter of the triangle is 168 inches, find the length of the longest side.
Answers
Answer: 90
Step-by-step explanation:
Let the sides have lengths 2n, 11n, and 15n.
Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.
So, the longest side is 15(6)=90 inches.
10y 5 +30y 3 −15y
Factor out the gcf then simplify the polynomial
Answers
10y⁵ + 30y³ - 15y =
5y * 2y⁴ + 5y * 6y² + 5y * (-3) =
5y (2y⁴ + 6y² - 3)
Help me on this question please!
Answers
Answer:
1/5
Step-by-step explanation:
Arrange the numbers from smallest to largest...the median is the one in the middle of the list
-12/4 - 2.5 1/5 18/5 10 the middle is 1/5
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$
Answers
Answer:
$1493.49
Step-by-step explanation:
The original cost was doubled initially.
$995.66 x 2 = 1991.32
1991.32 x 0.75 (25% discount) = $1493.49
The numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.
Answers
Answer:
Mode=8
This is because it occurs the most
Median
=8+8/2
=16/2
=8
Therefore, the median is 8
Mean= £x/n
=6+7+7+8+8+8+8+8/8
=60/8
=15/2
=7.5
Step-by-step explanation:
Please mark me brainliest if correct
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.
The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.
Arrange the data in increasing order, then we have
6, 7, 7, 8, 8, 8, 8, 8
The mean of the data is given as,
Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8
Mean = 60 / 8
Mean = 7.5
The median of the data is given as,
Median = {[8 / 2 + (8 + 2)/ 2] / 2}
Median = (4th + 5th) / 2
Median = (8 + 8) / 2
Median = 16 / 2
Median = 8
The mode of the data is given as,
Mode = Frequency of the number
Mode = 8
The range of the data set is given as,
Range = 8 - 6
Range = 2
The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.
More about the statistics link is given below.
https://brainly.com/question/10951564
#SPJ2
Convert the following fraction to a decimal 20/16
Answers
Answer:
1.25
Step-by-step explanation:
Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.
A) 2x+ 3y =11
x+ y = 4
B) 4x + 3y =-12
2x - y = 4
Answers
Answer:
A) x = 4, y = 3.
B. x = 0, y = -4.
Step-by-step explanation:
A) 2x+ 3y =11 .........(a)
x+ y = 4.......(b)
Multiply equation (b) by 2:
2x + 2y = 8
Subtract this from equation (a):
y = 11-8 = 3.
Substitute y = 3 into equation (a):
2x + 3*1 = 11
2x = 11 - 3 = 8
x = 4.
B) 4x+ 3y = -12
2x - y= 4
Multiply second equation by 2:
4x - 2y = 8
Subtract this from first equation:
3y - (-2y) = -12 - 8
5y = -20.
y = -4.
Substitute y = -4 into equation 1:
4x + 3*(-4) = -12
4x = -12 + 12 = 0
x = 0.
Find 76% of 147 please answer
Answers
We would find 1% of 147 then times the answer by 76
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
The graph below represents data that was collected by students on the number of
social media posts they made the previous day.
What was the mean number of posts made?
Answers
Answer:
4
Step-by-step explanation:
To calculate the mean or average, add all the data point up and whatever the amount of data point there are is supposed to be divided by the sum of the data points. So in this case, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. This is the sum of the data points. Now we have to divide by the amount of data points which is 7 (0 obviously has no value whatsoever). 28 divided by 7 is 4. The average/mean of the number of post made is therefore 4.
Hope this helps,
IShowSpeed's Right Hand Enthusiast
Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees
Answers
Answer:
40 degrees
Step-by-step explanation:
(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).
-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:
-1400 degrees+(360 degrees*4)
=-1400 degrees+1440
=40 degrees
so the answer is 40 degrees
Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal
Answers
Answer:
I think it's B because it stops but keeps going.
Step-by-step explanation:
what three ratios are equivalent to 6/18
Answers
Answer: 3:9, 1:3, 12:36
Step-by-step explanation: just multiply or divide your numerator and denominator by the same number. For the first one, I divided both 6 and 18 by 3, for the second I divided both 6 and 18 by 6, and for the last one I multiplied both 6 and 18 by 2. Hope this helps.
If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
Answers
Answer:
9%
Step-by-step explanation:
A baby weighs 7 pounds at birth. the table shows the baby's weigh after each month of its birth, up to the sixth month
Answers
is 69 less then a right angle
Answers
Answer:
yes it is less then a right angle
Step-by-step explanation: