The least common denominator of 1/3 5/8 and 1/2 will be 24.
What is Least common multiple?
The Least common multiple of two or more numbers are the smallest number that is multiple of two or more numbers.
Given that;
The numbers are,
⇒ 1/3, 5/8 and 1/2
Now,
To find the least common denominator of 1/3 5/8 and 1/2,
We need to find the least common multiple of 3, 8 and 2 as
The LCM of {3, 8, 2} = 24
Thus, The least common denominator of 1/3 5/8 and 1/2 will be 24.
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The least common denominator of 1/3, 5/8, and 1/2 is 24. It's the smallest number that all the denominators (3, 8, and 2) can divide into evenly, and it helps in adding or comparing fractions with different denominators.
Explanation:The least common denominator (LCD) of the fractions 1/3, 5/8, and 1/2 is the smallest number that all of the denominators can divide into evenly. When looking for the least common denominator, we can use the method of listing multiples or the method of prime factorization.
For the fractions given, we list the multiples of each denominator:
3's multiples: 3, 6, 9, 12, 15, 18, 21, 24, ...8's multiples: 8, 16, 24, 32, 40, ...2's multiples: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ...The smallest multiple that they all have in common is 24, which is the least common denominator. It's important to note that by finding the LCD, we can easily add or compare fractions with different denominators.
Chris is putting a new baseboard in his room . The bed is 15 meters long and the 9/10 meters wide . What is the area of the baseboard?
Answer:
The area of the baseboard is 13.5m²
Step-by-step explanation:
Given data
Length of the bed L=15m
Width of of the bed B=9/10m
Area of the board A=?
We know that the area of the board
Area A=length x width
Substituting our given data we have
A=15*9/10
A=135/10
A=13.5m²
Hence the area of the board is 13.5m²
The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.
Explanation:In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.
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The distribution of the values of a population is shown below, and a simple random sample is drawn from th
Based on this information alone, can the sample be used to make inferences about the population?
No, because the population values appear to be normally distributed.
No, because the population values do not appear to be normally distributed.
Answer:
C. Yes, because the population values appear to be normally distributed.
Step-by-step explanation:
Answer:
c) yes, because the population values appear to be normally distributed
Step-by-step explanation:
edge 2021
What is the sum of all the exterior angles for a 99-gon?*
Answer:
360
Step-by-step explanation:
The sum exterior angles of any number of side polygon is always 360
compounded monthly P=\$2,000 , r=3\% , t = 5years
To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.
Explanation:To calculate the compound interest, we can use the formula:
A = P (1 + r/n)^(nt)
Where:
A = final amount
P = principal amount ($2,000)
r = annual interest rate (3%)
t = time in years (5 years)
n = number of times the interest is compounded per year (12 for monthly compound interest)
Plugging in the values, we have:
A = 2000 (1 + 0.03/12)^(12*5)
Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.
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(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 36, square root of 37, square root of 38, square root of 39
Group of answer choices
square root of 36
square root of 37
square root of 38
square root of 39
Answer:
Square root of 36.
Step-by-step explanation:
The square root of 36 = 6 so this is rational.
Recall that a rational number is one that can be written as a/b where a and b are not 0. 6 can be written as 6/1.
Answer:
6
Step-by-step explanation:
The square root of 36 is 6
28 out of the 35 magazines at the bookstore are woman's magazines.what percentage of the magazines are woman's magazines
Answer: 80% of the magazines are women's magazines
Step-by-step explanation: (28÷35)× 100/1= 80%.
factor the expression 3x^2 - 15x
i will mark brainliest
Step-by-step explanation:
The table of three and x is common
So
3x ( x + 5)
Is the answer
Answer: -3
Step-by-step explanation: 3 times 4 - 15
Which is the graph of the linear inequality y < 3x + 1?
Answer:
The last graph, aka D.)
Step-by-step explanation:
Sorry for the extremely late response,
Hope this helps ppl of the future. ;))
~nxmbus
Maria is painting a mural on a brick wall. She is painting 4 circles with radii of 2 inches, 4 inches, 9 inches, and 14 inches. How much paint will she need to fill in all four circles?
She will need ____? square inches of paint for all the circles.
Answer:
932.58 in ^ 2 is needed
Step-by-step explanation:
What we need to do is calculate the area of all the circles and add it up, so we know how many square inches of paint are going to be needed.
We know that the area of a circle has the following formula:
A = pi * r ^ 2
there are 4 circles:
radio of 2 inches:
A = 3.14 * 2 ^ 2 = 12.56 in ^ 2
radio of 4 inches:
A = 3.14 * 4 ^ 2 = 50.24 in ^ 2
radio of 9 inches:
A = 3.14 * 9 ^ 2 = 254.34 in ^ 2
radio of 14 inches:
A = 3.14 * 14 ^ 2 = 615.44 in ^ 2
12.56 + 50.24 + 254.34 + 615.44 = 932.58
a total of 932.58 in ^ 2 is needed
Steven rolls a 6-sided nombre cube 3 times.What is the probability of rolling a multiple of 3 on all the rolls?
The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].
To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.
Total outcomes for each roll = 6 (since there are 6 sides on the cube).
Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).
Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].
Since each roll is independent, we multiply the probabilities of each roll:
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]
So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].
I need this quickly if at all possible. I´ll giver brainliest to the first answer!
A certain medication comes in the form of a capsule, as shown below. The fluid inside the capsule contains several ingredients, including the active medication.
What is the volume of the capsule? Round to the nearest tenth.
V = ____ mm3
If the density of the active medication in the liquid is
0.7 mg/mm3, how many milligrams of the active medication are in one capsule?
Round to the nearest tenth.
_____ mg
Answer:
mme 3 is 20
Step-by-step explanation:
i dont like to do work
Answer:
V= 103.9 mm^3 and 72.7 mg
Step-by-step explanation:
Edge
Which number results in a true sentence in 0.475 ＜ ______ ? a.) 0.473 c.) 0.475 b.) 0.474 d.) 0.476
Answer:
D.) 0.476
Step-by-step explanation:
The < sign means 'less than'. The only thing that .475 is less than is .476
Eleven less than a number is more than seventeen.
Answer:
x-11 > 17
Step-by-step explanation:
You have to set the equation up as an equality, if you want the simplified answer it would be x > 28
A number cube for a game has a volume of 64 mm
What is the length of one side of the cube?
3.27 mm
4 mm
6.46 mm
8 mm
Answer:
6.46 mm
Step-by-step explanation:
After the closing of the mill, the town of Sawyerville experienced a decline in its population.
The relationship between the elapsed time, t, in years, since the closing of the mill, and the town's
population, P(t), is modeled by the following function.
P(t) = 12,000 - 2^-t/15
In how many years will Sawyerville's population be 9000?
Round your answer, if necessary, to the nearest hundredth.
Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
The time it would take for Sawyerville's population to decrease to 9000 can be calculated by setting the population function equal to 9000 and solving for 't'. After a series of algebraic transformations, you can isolate 't' and calculate its value with a scientific calculator.
Explanation:To find the amount of time it will take for Sawyerville's population to fall to 9000 people, we can set up the equation: P(t) = 9000. Therefore, we have 9000 = 12,000 - 2-t/15.
To solve this equation, we first need to isolate the exponential term by subtracting 9000 from both sides, getting 3000 = 2-t/15. Then, we take the natural logarithm (ln) of both sides to remove the exponential term, resulting in ln(3000) = -t/15*ln(2). Divide both sides by -ln(2) and multiply them by 15 to find 't'. The final equation is: t = -15*ln(3000)/ln(2).
In this particular problem, you may need the help of a scientific calculator to compute the value of 't'.
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Solve:5m=0.95 solve this please
Answer:
m=0.19
Step-by-step explanation:
To work this out you would divide 0.95 by 5. this is because 0.95 is equal to 5*m and so so work out m you would divide 0.95 by 5.
[tex]0.95/5=0.19\\m=0.19[/tex]
What is the factored form of x2 – x – 2?
Answer:
(x-2)(x+1)
Step-by-step explanation:
x²-x-2 can be factored into:
(x-2)(x+1)
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What are the a b and c values of 3x^2-4x=20
Answer:
[tex]a = 3, b = -4, c = -20[/tex]
Step-by-step explanation:
Step 1: Find the a, b, and c values
[tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 4x - 20 = 0[/tex]
The a value is: 3
The b value is: -4
The c value is: -20
Answer: [tex]a = 3, b = -4, c = -20[/tex]
The area of a trapezoid is 20ft2. The sum of its two bases is 10 ft. What is the height of the trapezoid?
A. 0.5 ft
O B. 14
C. 26
D.
4 ft
Answer:
d. 4 ft
Step-by-step explanation:
1/2h(b1+b2)
1/2h(10)=20
multiply both sides by 2
h(10)=40
divide both sides by 10
h=4
Here you go good luck guys!
Answer:
25.9666 m
Step-by-step explanation:
The 4 arches combine to for a circle, so then you can find the area of the shaded region by subtracting the area of the square from the area of the circle.
The formula for area of a circle is A=[tex]\pi[/tex]r^2
Since the radius of the circle would be 11/2 or 5.5, the area if the circle would be [tex]\pi[/tex] x 5.5^2. This equals 95.0334.
The area of the square would be 11 x 11 = 121.
The 121-95.0334= 25.9666 m
if the mean is 120 and the standard deviation in 24 what is the score that is 3 standard deviations above the mean
Answer:
192
Step-by-step explanation:
If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.
192 is the score that is 3 standard deviations above the mean.
What is standard Deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
Mean= 120
Standard Deviation = 24
So, the score for 3 standard deviations above the mean
= 24(3) + 120
= 72 + 120
= 192.
Hence, 192 is the score that is 3 standard deviations above the mean.
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A word processing program requires a user to enter a 7-digit registration code made up of the digits 1,2,4,5,6,7 and 9. Each number has to be used, and no number can be used more than once. How many codes are possible?
Final answer:
To find the number of possible codes, we can use the concept of permutations. There are 7 digits to choose from and we need to select all of them. Therefore, there are 5,040 possible registration codes.
Explanation:
To find the number of possible codes, we can use the concept of permutations.
Since the code must be made up of 7 digits and each digit can only be used once, we can calculate the number of permutations of the 7 digits. The formula to use is nPr = n! / (n - r)!, where n is the total number of elements and r is the number of elements to be selected.
In this case, there are 7 digits to choose from and we need to select all of them.
So we plug in n = 7 and r = 7 into the formula:
nPr = 7! / (7 - 7)! = 7! / 0! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040
Therefore, there are 5,040 possible registration codes.
Find the sum and write it in standard form
(6x^3+3x^2+3)+(2x^3−5x+1)
Answer:
[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]
Step-by-step explanation:
[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]
Please help with what goes in these blanks
Answer:
See bold face answers below.
Step-by-step explanation:
If c^2 = a^2 + b^2, then the triangle is a right triangle.
If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.
If c^2 < a^2 + b^2, then the triangle is an acute triangle.
Always keep "c" on the left side to avoid confusion when classifying.
In the function f(x)=(x-2)^2+4, the minimum value occurs when x is
A.)-2
B.)2
C.)-4
D.)4.
Answer:
B
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 2)² + k ← is in vertex form
with (h, k) = (2, 4)
Thus the minimum value is 4 when x = 2 → B
What is the equation of the line that goes through the points (0, 7) and (1, 9)? y=7x+2 y=2x+7 y=7x+9 none of the above
Answer:
2x + 7
Step-by-step explanation:
0,7 is the y intercept, so plus 7 is a given
0,7 1,9 use rise/run
9-7/1-0 = 2/1
so 2x + 7
Solve for w in terms of v, x, and y.
v= -[tex]\frac{1}{X}[/tex] YW
W=
Answer:
W = - [tex]\frac{vx}{Y}[/tex]
Step-by-step explanation:
Given
v = - [tex]\frac{1}{x}[/tex] YW
Multiply both sides by x to clear the fraction
vx = - YW ( multiply both sides by - 1 )
- vx = YW ( divide both sides by Y )
- [tex]\frac{vx}{Y}[/tex] = W
If 18 is more than 2 times a number is -10, what is the number
Answer:
-14
Step-by-step explanation:
-10-18=-28 -28/2=-14
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space, m, end text. With each swing, she travels along an arc that is half as long as the arc of the previous swing.
Answer:
24*(1-0.5^n)/0.5
Step-by-step explanation:
Please answer this correctly
Answer:
3:30 pm
Step-by-step explanation:
Games : 1 hour
Cleaning : 1 hour
Homework: 30 minutes
Total time
1+1+ 30 minutes
She started at 1 pm
1 + 2 hour 30 minutes
1 +2 hours = 3 pm
3+30 minutes = 3:30
Answer:
1:00 pm + 1 hr = 2:00pm
2:00pm + 1 hr= 3:00pm
3:00pm +30 mins = 3:30 pm