lcd by inspection and division of 1/4, 3/32, 5/48, and 1/8
Part a: the LCD is measured to be 96 utilizing the inspection method.
Part b: By division of prime numbers: 96.
Explain the term LCD of the Fractions?The LCD of above fractions can be calculated using one of two methods. The inspection method is a name for the first technique. With this approach, the denominator's multiples are acquired, and the result is determined by selecting a common multiple from the pool of available multiples.The division by prime numbers is the name of the second approach. To acquire the LCD, find a prime number which divides the following fractions.The given number are-
1/4, 3/32, 5/48, and 1/8
Part a:
Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.
4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.
32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.
48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.
8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.
As a result, the LCD is measured to be 96 utilizing the inspection method.
Part b: By division of prime numbers:
Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.
4 = 2, 2
32 = 2, 2, 2, 2 and 2.
48 = 2, 2, 2, 2 and 3.
8 = 2, 2 and 2.
The generated number, 96, can be divided by the provided fractions' denominators.
As a result, the outcome is 96.
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UNIT 3
FORM B continued
UNIT JASSESSMENT
●
Name:
3 Simon and Reina practice basketball shots. Simon makes 7 baskets for every S
misses. Reina makes 9 baskets for every 7 misses. Who makes a basket more often?
Show your work.
The person who makes a basket more often, between Simon and Reina, is Simon
How to find who makes more baskets ?To find who makes the basket more, you need to find the percentage number of times the basket is made.
The percentage number of times the basket is made by Simon is :
= Number of baskets made / ( Number of baskets made + Number of baskets missed ) x 100 %
= 7 / ( 7 + 5 ) x 100%
= 7 / 12 x 100%
= 58.3%
The percentage number of times Reina makes the basket is :
= 9 / ( 9 + 7 ) x 100%
= 9 / 16 x 100%
= 56.25%
Simon therefore makes the basket more.
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Arturo buys 12 bottles of grapefruit juice at the corner store for a total cost of $8.64. If each bottle costs the same amount, how much is 16 bottles of juice?
Answer:
[tex]\huge\boxed{\sf \$ \ 11.52}[/tex]
Step-by-step explanation:
Given that,12 bottles of juice = $8.64
Using unitary method.Divide 12 to both sides
12/12 bottle of juice = $8.64/12
1 bottle of juice = $0.72
Multiply 16 to both sides
1 × 16 bottles of juice = $0.72 × 16
16 bottles of juice = $11.52[tex]\rule[225]{225}{2}[/tex]
-4 3/4 = x-1 1/5
Whats the value of x
Answer:3/4 * 1/5 = 3/20 = 0.15
Step-by-step explanation:Multiple: 3/
4 * 1/5 = 3 · 1/4 · 5 = 3/20
Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three quarters multiplied by one-fifth is three twentieths.
3. The lines represented by the equations
6y +4x = 12 and 3y + 2x = 21 are
A. parallel
B. the same line
C. perpendicular
D. neither parallel nor perpendicular
3.A cheetah runs 100 m in 6 seconds. At this rate, how long will it take the cheetah to run 150 m?
Answer: 9 seconds
hope it was helpful (^ = ^)
Step-by-step explanation:
x=number of seconds
100m/6s=150/x
Cross multiply and make x the subject
100m(x)=150m(6s)
x=(150m x 6s)/100m = 9s
therefore it would take the cheetah 9 seconds to run the 150m
A homeowner sections off part of her backyard for a vegetable garden. The width of the garden is 4 ft shorter than the length. The perimeter of the garden is 52 ft. What are the dimensions of the garden?
Answer:
length = 15ft
width = 11ft
Step-by-step explanation:
p = 2L + 2w = 52ft
w = L - 4
Substitute: 2L + 2(L-4) = 52
Simplify and solve:
2L + 2L - 8 = 52
4L - 8 = 52
4L = 60
L = 15
w = 15-4 = 11
Check:
2(15) + 2(11) = 52?
30 + 22 = 52!!!
2. Give another name for KL
Answer: Thousand Liters
Step-by-step explanation:
The gcf of 28y-24 is
Answer:
4
brainliest plssSolve the absolute value of equation.
List both the answers.
|x|-2=5
Answer:
-7 or 7
Step-by-step explanation:
|x|-2=5
Add 2 to each side:
|x|=7
Because it is the absolute value, x can be -7 or 7
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I can't figure out this graphing problem, please help!!!
The equation that represents the graph will be y = - (2)ˣ + 3.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation is given below.
y = A · (2)ˣ + k
At x = 0, the value of y is 2.
2 = A + k ...1
At x = 1, the value of y is 1.
1 = 2A + k ...2
Subtract equation 1 from equation 2, then we have
A = -1
Then the value of k is given as,
2 = -1 + k
k = 2 + 1
k = 3
The equation that represents the graph will be y = - (2)ˣ + 3.
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Will this summer be especially hot? The Farmer's Almanac is calling for a particularly hot summer this year. A student would like to estimate the average temperature using a thermometer that she places outside. Prior to the start of summer, the student randomly selects 10 days that she will use as her sample. On each of those 10 days, she records the outside temperature at 3 p.m. Assume that all conditions for inference have been met. (a) After collecting her data, the student calculates a 95% confidence interval to estimate the population mean. In this case, what is the population? the temperature all days for that summer the time of the day the 10 days (b) Suppose the calculated confidence interval is (72, 88) degrees Fahrenheit. What is the value of the point estimate (in degees Fahrenheit)? °F (c) Based upon your calculated point estimate and the confidence interval given in Part (b), what is the estimated margin of error (in degees Fahrenheit)? °F
a) The population of the confidence interval is given as follows: The temperature all days for that summer.
b) The point estimate of the interval is of: 80 degrees Fahrenheit.
c) The margin of error of the interval is of: 8 degrees Fahrenheit.
What are the features of the confidence interval?A confidence interval for a population parameter is built taking a sample of this population.
Then, the interval for the population mean is given as the sample mean plus/minus the margin of error.
The sample in this problem is given as follows:
The temperature for 10 days of summer.
Hence the population is of:
The temperature all days for that summer.
The interval in this problem is given as follows:
(72, 88).
The point estimate is the mean of the bounds, hence:
Point estimate = (72 + 88)/2 = 80.
The margin of error is half the difference of the two bounds, hence:
Margin of error = (88 - 72)/2 = 8.
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PLEASE HELP!!
Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in
one snack bar
There are _____ carbs in one glass of milk
There are _____ carbs in one snack bar
Answer: The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs
Step-by-step explanation: Hope this helps!
Answer:
Step-by-step explanation:
78 and 10g
How do we change 0.88 to fraction
Answer:
22/25
Step-by-step explanation:
0.88 = 88/100
(88:4)/(100:4)
22/25
help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee
Answer:
13 years
Step-by-step explanation:
Which ordered pair would make this set a function when it replaces (x, y)?
{(0, 1), (2, 6), (1, 7), (5, 7), (x, y)}
ANSWER CHOICES
(2, 4)
(5, 9)
(1, 6)
(4, 8)
Answer:
Step-by-step explanation:
(4,8)..Its the only one in which x doesnt repeat
- Adult male Florida panthers have an
average weight of 52.6 kg. What is the
average weight of a male Florida panther
rounded to the nearest whole number?
The average weight of a male Florida panther rounded to the nearest whole number is 53 kg
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Average weight = 52.6 kg
52.6
The number after decimal point is 6 which is more than 5.
So add 1 to the 52, we get 53
Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg
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The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?
The total number of sandwiches they have in all on Sunday is 375 sandwiches.
The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5
What is the total number of sandwiches?Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = xTotal percentage of ham and turkey sandwiches = 35% + 25%
= 60%
So,
225 = 60% of x
225 = 0.60 × x
225 = 0.60x
divide both sides by 0.60
x = 225/0.60
x = 375
Hence,
Total number of sandwiches = 375
If the cafe sells all the sandwiches at $4.50 each
The total money earned by the cafe = cost of each sandwich × total number of sandwiches
= $4.50 × 375
= $1,687.5
Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 0.70L to 0.14L
Answer:
5
Step-by-step explanation:
0.7/0.14
7/10×100/14
7×100/10×14
5
Northside high school is having a spaghetti dinner funraiser. In order to adveritse, students place flyers on neighborhood doors. Margie hands out 100 flyers in 2 hours. Jaxon hands out 18 flyers in 15 minutes. Which equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours.
A. 18/15 = f/2. B. 120/f = 2/15
C. 18/2 = f/120. D. 120/15 = f/18
120/15=f/18 is the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Margie hands out 100 flyers in 2 hours.
Jaxon hands out 18 flyers in 15 minutes.
We need to find the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours.
Let us convert hours to minutes
2 hours=120 minutes.
Let f be the number of flyers Jaxon handed out in 2 hour.
18/15=f/120
Apply cross multiplication
120/f=15/18
120/15=f/18
Hence, 120/15=f/18 is the equation can be used to determine f, the number of flyers Jaxon handed out in 2 hours
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Mr. Clark is contemplating which chauffeured car service to take to the airport. The first costs $28 up front and $1 per kilometer. The second costs $3 plus $2 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the total fare? What is the distance?
Answer:
The total fare is $53, and the distance is 25
Step-by-step explanation:
The equation we can use for the first car would be:
28 + (1×k) = fare (f)
The equation we can use for the second car would be:
3 + (2×k) = f
If we were to plug in 20 into the equations, it would look like this:
28 + (1×20) = 48 (first car)
3 + (2×20) = 43 (second car)
As you can tell, the prices aren't matched up just yet.
Let's plug 25 into the equations.
28 + (1×25) = 53
3 + (2×25) = 53
The number of kilometers traveled is 25, and the price is $53
Will give brainliest
Answer:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Step-by-step explanation:
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.Given the parent functionf(x) = 4xIf the function is not reflected over x-axis, the resulting function will be f(x) = -4xIf the resulting function is compressed by a factors of 1/8, hence the final function rule will be;g(x) = 1/8(-4x)g(x) = -1/2xHence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Hope this helps!
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Find the diameter of the circle.
9 cm
The diameter of the circle is
The solution is I
centimeters.
Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After the barbecue, 35 hot dogs are left over. How many hot dogs were eaten
Answer: 19
Step-by-step explanation:
9x6= 54
So there’s 54 hot dogs in total
Subtract the amount left
54-35= 19
There are 19 hot dogs left
Hope this helps!
PLEASE ANSWER ASAP
Beverly is trying to prove that △PQR is a right triangle.
The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3). Which TWO slope calculations
can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
Answer:
Triangle PQR is a right triangle. First we have to find the length of each side of the triangle. This can be done using the points provided, along with the Pythagorean theorem, which is a^2+b^2=c^2. PR^2 = (7- -2)^2+(3-5)^2 = 85 => PR = sqrt(85) QR^2 = (7- -1)^2+(3-1)^2 = 68 => QR = sqrt(68) QP^2 = (1-5)^2+(-1 - -2)^2 =17 => QP = sqrt(17) Now that we have the sides of the triangle, we can put them into the Pythagorean theorem again to see that it works out: (Sqrt(17))^2 + (sqrt(68))^2 = (sqrt(85))^2 17 + 68 = 85 85 = 85 Since the Pythagorean theorem works for right triangles, the triangle is indeed a right triangle.
Step-by-step explanation:
geomerty help please
Answer:
y = 10, x = 18
Step-by-step explanation:
Hope it helps!
11 k x + 12kx= 6 for x
Answer:
x=1/4k
Step-by-step explanation:
Hope this helps please give me Brainliest!
What is the probability of drawing an odd number or a heart
out of a deck of cards?
Answer:100/10000000000
Step-by-step explanation:qazwsxeedcrfvtgbyhn
CAN SOMEONE HELP WITH THIS QUESTION?✨
The required co-terminate angles of 1817° between 0° to 360° is 343°.
What is co-terminal angles?Co-terminal Angles are points who share similar introductory side and terminal sides. Finding co-terminal points is just about as straightforward as adding or taking away 360° or 2π to each point, contingent upon whether the given point is in degrees or radians. There are a boundless number of co-terminal Angles that can be found.
According to question:For calculating co-terminal of angle 1817°,
We will subtract given angle 1817° from 2160°(multiple of 360°)
Then,
2160° - 1817°
343°
Thus, the co-terminating angle of 1817° is 343°.
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Write a situation that can be represented by 2.5x - 15
Answer:
Linda starts the month with $15 in debt. Each hour, she makes 2.5 dollars. How many hours will it take for Linda to get out of debt?
A situation that can be represented by the expression 2.5x - 15 is given below.
Let's consider a situation where you are tracking the amount of money you earn from selling handmade crafts. In this scenario, the expression 2.5x - 15 can represent your net earnings after deducting the initial investment and expenses.
Suppose you invest a certain amount of money in materials and supplies to create your crafts. The variable x represents the number of crafts you sell. Each craft generates a profit of $2.50. Therefore, the term 2.5x represents the total profit you earn from selling x crafts.
However, running a business incurs expenses. In this case, the expression -15 represents $15, which is the total expense or cost associated with producing and selling your crafts.
So, 2.5x - 15 calculates your net earnings after subtracting the expenses from the profit. It provides you with a measure of how much money you've made after covering the costs.
By plugging in different values for x, you can evaluate the expression to determine your earnings for various levels of craft sales, allowing you to analyze your profitability and make informed decisions regarding your business.
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