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Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
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Part C: 9 (8 + 9)
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
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Easy! :D (if you don't mind, may I get brainliest please?)
What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically
Answer:
3x+1 and x+5 are the factors
Step-by-step explanation:
Here's the slide-and-divide method to find the factors:
[tex]3x^2+16x+5[/tex]
[tex]\frac{3x^2}{3}+16x+5(3)[/tex]
[tex]x^2+16x+15[/tex]
[tex](x+1)(x+15)[/tex]
[tex](3*x+1)(x+\frac{15}{3})[/tex]
[tex](3x+1)(x+5)[/tex]
helppppppppppppppppppp
Answer:
B. a×1
Step-by-step explanation:
This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication
I need help. Whats the answer?
Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged
The different programs (in terms of order) that can be arranged is 120 different ways
Since we are dealing with arrangements, this is a permutation problem.
If there are three bands and two comics performing at a show, the total band will be 5 bands
The number of different programs that can be arranged will be 5!
5! = 5 * 4 * 3 * 2
5! = 60 * 2
5! = 120 ways
Hence the different programs (in terms of order) that can be arranged is 120 different ways
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7/8 minus1/4 minus 1/2
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276
Answer: B
Step-by-step explanation:
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
+ Move
Parabola
Undo
Redo
Rese
10
9
8
7
6
5
D
2
3
2
1
Answer:
7
Step-by-step explanation:
you would chose 7 because it has more and less value
What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?
you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words
Time needed to type 400 words is 13.3 minutes.
What is unit rate?A unit rate means a rate for one of something.
Given that, you are taking a typing class and can now type 30 words per minute.
For 30 word, you need 1 minute.
Let you need x minutes for 400 words,
Therefore, the proportion will be,
1/30 = x/400
x = 400/30
x= 40/3
x = 13.33333 ≈ 13.3
Hence, you need 13.3 minutes to type 400 words.
For more references on unit rate, click;
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Complete the sentence.
Twenty-seven is % of 60.
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?
Answer: -8 - 17 = -25
Step-by-step explanation: I HOPE THIS HELPS
Answer:
-25° F
Step-by-step explanation:
We start off at - 8° F
The temperature drops 17 degrees by the end of the day
The temperature is now - 8 - 17 = -25° F
c. What variable will be eliminated when the equations are combined after
the multiplication? (1 point)
Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.
Step-by-step explanation: Happy to help :D
Erin is volunteering at a soup kitchen. At the start of her shift, she is provided with a 16.3-
ounce jar of peanut butter. She uses it to make peanut butter sandwiches, each with 0.8
ounces of peanut butter. How much peanut butter will be left after Erin makes 20
sandwiches?
Answer:
0.3
Step-by-step explanation:
total:16.3
20*0.8=16 (amount she will use)
16.3-16=0.3
What is the next term of the geometric sequence?
108, 36, 12,
Pls lmk
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
8% of 60 is half of what number
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
Answer:
9.6
Step-by-step explanation:
8% of 60 is equal to 4.8
To find what 4.8 is half of, multiply 4.8 by 2
4.8 times 2 equals 9.6
A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?
O 20
O 5
02
O 16
The sample standard deviation is 2. Therefore, the correct answer is option C.
Given that, a sample of n=5 scores has M=20 and s²=4.
The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.
The standard deviation is simply the square root of the variance;
Here, [tex]s=\sqrt{4}[/tex]
[tex]s=2[/tex]
Therefore, the correct answer is option C.
Learn more about the standard deviation visit:
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A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches
IT IS NOT D, I TRIED IT AND IT DOESNT WORK!
or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
find the value of x when y=37 y=9-7x
Answer:
-4
Step-by-step explanation:
The equation can be rewritten as
37=9-7x
Subtract 9 from both sides
28=-7x
Divide both sides by 7
4=-x
This means that X is equal to -4
1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
The area of the shape is 110 square centimeters
From the diagram, the shape can be subdivided into rectangles of the following dimensions:
6cm by 11cm5cm by 6cm7cm by 2cmSo, the area of the shape is the sum of the areas of the three rectangles.
This gives
[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]
Evaluate the products
[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]
Add the terms
[tex]Area = 110cm^2[/tex]
Hence, the area of the shape is 110 square centimeters
Read more about areas at:
https://brainly.com/question/8408690
Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.
Answer:
it is not
Step-by-step explanation:
0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333
Solución
10x-3x=11+10
Answer: x=3
Step-by-step explanation:
my Christmas present to you
and have a happy new year!
Answer this question!
Answer:
I would tell you
Step-by-step explanation:
you need to put 2 y and 2 x and that you need to divide
May I please receive help?
Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?
To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
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Can someone plz help me?
Answethe answer is 12
Step-by-step explanation
Answer:
13 i think
Step-by-step explanation:
if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13
A bird flies down from a higher elevation to a lower elevation at a rate of 3 meters per second. Which equation models the bird's change in elevation, in meters, after 120 seconds?
O A. (-120)(-3) = -360
O B. 120. 3 = 360
O C. 120(-3) = 360
O D. 120(-3) = -360
No links please
Answer:
D
Step-by-step explanation:
Answer: The answer is 120(-3)= -360
Step-by-step explanation:
A. P. E. X.