First, do the prime factorization.
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The GCF is the product of their shared factors.
They share 2, 2, 2, and 3.
2 x 2 x 2 x 3 = 24.
Their GCF is 24.
The greatest common factor of the given numbers 96 and 72 will be equal to 24.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given number for GCF in the question,
Firstly, factorize the given numbers,
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The result of their shared factors is the GCF.
2 x 2 x 2 x 3 = 24.
Therefore, the GCF is 24.
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A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle has a radius of 15 feet. A larger circle goes around the smaller circle that is 3 feet wide. What is the circumference of the outer edge of the path around the pool? Use 3. 14 for Pi. 56. 52 ft 94. 20 ft 113. 04 ft 114. 04 ft.
The circumference of the outer edge of the path around the pool is 113.04 ft.
What is the circumference?The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.
Given
A circular swimming pool has a radius of 15 ft.
There is a path all the way around that pool that is three feet wide.
A circle has a radius of 15 feet.
A larger circle goes around the smaller circle that is 3 feet wide.
The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.
The radius of the outer edge of the path around the pool = 15 + 3
The radius of the outer edge of the path around the pool = 18ft
The circumference of the outer edge of the path around the pool is;
[tex]\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft[/tex]
Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.
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Mark used a graph to compare the wages from two restaurant jobs. A dishwasher earns 7.25$ per hour, while a waiter earns 3.75$ per hour in addition to 25$ per day.
To the nearest hour, when will the two jobs earn the same amount?
Explain why your estimate is reasonable.
Your missing the graph
Answer/Step-by-step explanation:
To the nearest hour, when will the two jobs earn the same amount?
Answer = 7
Explain why your estimate is reasonable.
Explanation:
Waiter: y = 25 + 3.75x { x which is the time mark work}
Dishwasher: y = 7.25x
⇒ 25 + 3.75x = 7.25x [Same amount]
25 = 3.5x
x = 7.14285714286
Round:
x = 7
~Lenvy~
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer: a=36pi
Step-by-step explanation:
We know that the formula for the area of a circle is a=(pi)(r)^2
Knowing that the diameter is 12 we can find the radius is 6 as the radius is half of the diameter. Now we can plug that into the equation. a=pi*6^2
Simplify
a=36pi
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Determine the mean and standard deviation of this data.
Answer:
i dont understand either
Step-by-step explanation:
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.
What is normal distribution?Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.
Given the mean and value at 70th percentile, we can find the standard deviation.
Using the z score - percentile table, we find that the z score corresponding to the given percentile.
z score corresponding to 70th percentile = 0.524
[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]
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please help me with this question.
If the equation of a line in standard form is 3x + 2y = 18, then the x-intercept is 6 and the y-intercept is 9.
True
False
Answer:
true
Step-by-step explanation:
The Bandits baseball team played 75 games and won 55 of them. What percent of the games did they lose? (Round your answer to the nearest hundreth - 2 decimal places.)
Answer:
26.6%
Step-by-step explanation:
total = 75 games
number of games won = 55
number of games lost = 75 - 55 = 20
75 — 100%
20 — x%
x = 20/75 * 100 = 26.6%
Answer:73.33%
Step-by-step explanation: If you do 55/75 you will get 0.73 repeating and you would move the decimal place 2 places to the right.
a sports tournament has 8 teams. each team has n players. using n, write an expression for the total numbers of players in the tournament
Answer:
8n.
Step-by-step explanation:
You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.
BRAINLEST!!! Work out 1/2 + 2/9 + 1/6
25 points! Will mark brainlest if option is avaliable
Answer: 8/9
Step-by-step explanation:
First, we can find a common denomiator.
The least common multiple of 2, 9, and 6 is 18.
Therefore, the lcd is 18.
1/2 = 1/2 * (9/9) = 9/18
2/9 = 2/9 * (2/2) = 4/18
1/6 = 1/6 * (3/3) = 3/18
Therefore, 1/2 + 2/9 + 1/6 = 9/18 + 4/18 + 3/18.
We can add the numerators together.
= 16/18
Divide the nuumerator and denominator by 2:
= 8/9
Find the value of xxx in the isosceles triangle shown below.
Answer:
X = 10
Step-by-step explanation:
if we say 1/2 base = a
a² = 13² - 12²
a² = 25
a = √25
a = 5
if 1/2 base = 5 then x = a × 2
hence X = 5 × 2 = 10
Please help me. It's literally math!
Find the exact two values for this problem in radians.
[tex]Cos x = 1/3[/tex]
Answer:
see below
Step-by-step explanation:
given function: [tex]Cos(x)=\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------------Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)
---------------------------------------------------------------------------------------------------#1: Take the inverse cosine of both sides of the equation to extract [tex]x[/tex] from inside the cosine.
[tex]x=arccos\frac{1}{3}[/tex]
#2: Evaluate
[tex]x=1.23095941[/tex]
#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from [tex]2[/tex]π to find the solution in the fourth quadrant.
[tex]x=2(3.14159265)-1.23095941[/tex]
#4: Simplify the equation above.
- Multiply [tex]2[/tex] by [tex]3.14159265[/tex]
[tex]x=6.2831853-1.23095941[/tex]
- Subtract [tex]1.23095941[/tex] from [tex]6.2831853[/tex]
[tex]x=5.05222588[/tex]
#5: Find the period.
- The period of the function can be calculated using [tex]\frac{2\pi }{|b|}[/tex].
[tex]\frac{2\pi }{|b|}[/tex]
- Replace [tex]b[/tex] with [tex]1[/tex] in the formula for period.
[tex]\frac{2\pi }{|1|}[/tex]
#6: Solve the equation.
- The absolute value is the distance between a number and zero. The distance between [tex]0[/tex] and [tex]1[/tex] is [tex]1[/tex].
[tex]\frac{2\pi }{1}[/tex]
- Divide [tex]2\pi[/tex] by [tex]1.[/tex]
[tex]2\pi[/tex]
The period of the [tex]cos(x)[/tex] function is [tex]2\pi[/tex] so values will repeat every [tex]2\pi[/tex] radians in both directions.
[tex]x=1.23095941+2\pi n,5.05222588+2\pi n[/tex], for any integer [tex]n[/tex]
The triangle below has a perimeter of 51. Solve for x.
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle. Sum the 3 sides and equate to 51, that is
15 + 5x - 6 + 2x = 51
7x + 9 = 51 ( subtract 9 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
At a recent sports clinic, there were 110 women and 90 men in attendance. Of the
total attendance, what percentage were women and what percentage were men?
a Women
b. Men
Answer:
Its A women
Step-by-step explanation:
pls ans this.....i will mark brainliest.
Answer:
[tex]y=\dfrac{10}{3}[/tex]
Step-by-step explanation:
[tex]\left(\dfrac25\right)^{-3} \cdot\left(\dfrac52\right)^{-15} =\left(\dfrac25\right)^{2+3y}[/tex]
[tex]\textsf{Using exponent rule:}\left(\dfrac{a}{b}\right)^{-c} =\left(\dfrac{b}{a}\right)^{c}[/tex]
[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25\right)^{2+3y}[/tex]
[tex]\textsf{Using exponent rule: } a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies \left(\dfrac25\right)^{-3} \cdot\left(\dfrac25\right)^{15} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]
[tex]\implies \left(\dfrac25\right)^{12} =\left(\dfrac25}\right)^2 \cdot \left(\dfrac25\right)^{3y}[/tex]
[tex]\implies \left(\dfrac25\right)^{12} \div\left(\dfrac25}\right)^2 =\left(\dfrac25\right)^{3y}[/tex]
[tex]\textsf{Using exponent rule: } \dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\implies \left(\dfrac25\right)^{10} =\left(\dfrac25\right)^{3y}[/tex]
[tex]\textsf{Using exponent rule: } a^b=a^c \implies b=c[/tex]
[tex]\implies 10=3y[/tex]
[tex]\implies y=\dfrac{10}{3}[/tex]
10g–7g–3=18
please answer windowssssssssssss i will give you branilisest only
Answer:
g=7
Step-by-step explanation:
10g–7g–3=18
subtract 7g from 10 g
3g-3=18
add 3 to both sides
3g=21
divide each side by 3
g=7
Answer:
g=7
Step-by-step explanation:
We move all terms to the left:
10g-7g-3-(18)=0
We add all the numbers together and all the variables
3g-21=0
We move all the terms containing "g" to the left and all the other terms to the right
3g=21
g=27/3
which is the same as
g=3
Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this?
Answer:
Hello your question is incomplete below is the complete question
Raj correctly determined that ray LH is the bisector of AngleGLI. A line contains points K, L, M. 4 lines extend from point L. One line extends to point F, another to G, another to H, and another to I. Which information could he have used to determine this? AngleGLH Is-congruent-to AngleILM mAngleKLM = 5mAngleILM , mAngleGLI = 2mAngleGLH, mAngleGLI = mAngleGLH + mAngleHLI
answer : mAngleGLI = 2mAngleGLH
Step-by-step explanation:
The information that could have used to determine this information is
mAngleGLI = 2mAngleGLH
from the figure, we can see that
mAngleGLI = mangleGLH + mangleHLI
Hence we can conclude mangleGLH = mangleHLI
therefore the ray LH bisects angleGLI into two equal angles GLH & HLI.
Answer: mGLI = 2mGLH
Step-by-step explanation: took the test on edge
A cube shaped package has a volume of 5,832 cubic inches. What is the edge length of the package?
Answer:
8.7388
Step-by-step explanation:
square root of 5832=76.37
square root of 76.37= 8.73
8.7388 x 8.7388 x 8.7388 x 8.7388
What is the value of b in the equation 2x-y=6
Answer:
are you sure its b? b doesnt seem to be present in 2x-y=6
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 6 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into n sub-intervals. Enter the probability p of one arrival during a single sub-interval.
For n = 30, we have p =
For n = 60, we have p =
For n = 100, we have p =
Continued from previous.
Answer:
I need help with mathematics please
#8: Which of the following is a whole
number, but not a natural number?
A) -10
B) 0
C) 3/4
D) 2.5
Answer:
-10
Step-by-step explanation:
Hope that helps!!
Five Times the difference of a number and 3 is 17
The number is 6.4.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Five Times the difference of a number and 3 is 17.
let the number be x
So,
5(x-3) = 17
5x - 15 = 17
5x = 32
x= 32/5
x= 6.4
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The table shows the favourite colour of 400 p
o
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Answer:
I don't clearly understand your question pls can you rearrange it to a simpler form
Answer:
yo I'm looking for the same answer I need it ASAP before Friday
Find the value of x from the following. X/4 = 6
x/2 = 12. 5
Answer:
x = 24; x = 25
Step-by-step explanation:
Question 1
x/4 = 6
x = 24 *multiply both sides by the denominator to isolate the x value
Question 2
x/2 = 12.5
x = 25 *multiply both sides by the denominator to isolate x
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 66 kmh slower than the other. If the two planes are 9804 kilometers apart after 6 hours, what is the rate of each plane
A line passes through the point (8, 5) and has a slope of 3.
Answer:
[tex]\displaystyle 3x - y = 19\:or\:y = 3x - 19[/tex]
Step-by-step explanation:
Plug the information into the Slope-Intercept Formula:
[tex]\displaystyle 5 = 3[8] + b \hookrightarrow 5 = 24 + b; -19 = b \\ \\ y = 3x - 19[/tex]
Suppose you need to write this equation in standard form. You would follow these procedures:
y = 3x - 19
- 3x - 3x
__________
[tex]\displaystyle -3x + y = -19[/tex]
*Now, you can leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
[tex]\displaystyle \boxed{3x - y = 19}[/tex]
I am joyous to assist you at any time.
Mikki created a painting with an area of 32 square feet and a length of 4 feet. They create a second painting with an area of 24 square feet. It has the same width as the first painting. what is the length of the second painting?
Answer:
3 feet
Step-by-step explanation:
To begin, find the width of the first painting by dividing 32 by 4. You get 8 feet as the width. Since the second painting has a width of 8, divide 24 by 8 to get the length (area of a rectangle is length times width). You get that the length of the second painting is 3 feet.
Hopefully this helps- let me know if you have any questions!
PLEASE HELP!!
solve for z
12 = 15 ( z - 1/5)
Answer:
Z=1
Step-by-step explanation:
please mark me as brainlest
Answer:
z = 1
Step-by-step explanation:
Given :-
12 = 15(z - 1/5)
To Find :
z
Solving :-
12 = 15(z - 1/5)
12 = 15z - 3
15z = 15
Solution :-
z = 1
Sara saved $16,000 for a new car that costs $10,500, plus $1200 each year for insurance. If Sara buys the car, then what would be the maximum number of years, x, she could pay insurance with her current savings? 3 years 3 years 4 years 4 years 5 years 5 years 6 years 6 years
Answer:
4 years
Step-by-step explanation:
Sara saved $16,000 for a new car that costs $10,500, plus $1200 each year for insurance.
Let the number of years she can pay for insurance be written as: x
$10,500 + $1200 × x = $16,000
$1200 × x = $16,000 - $10,500
x = $5,500/1200
x = 4.5833333333 years
Since the number of years is in decimal, we would pick the whole number there as the maximum number of years.
Therefore, the maximum number of years, x, she could pay insurance with her current savings is 4 years.
Tali picks a shape. What is the chance she picks a gray shape?
Answer:
3/8
Step-by-step explanation:
hope this helps
pls mark as brainliest
what is the correct reason for statement #2?
Answer:
I think combining like terms
Step-by-step explanation: