highest common factor (HCF) of 32, 48 and 72= 8
HCF - Highest Common Factor
The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both the numbers completely. The Highest Common Factor (HCF) is also called the Greatest Common Divisor (GCD).
There are many ways to find the HCF of two numbers. One of the quickest ways to find the HCF of two or more numbers is by using the prime factorization method. Explore the world of HCF by going through its various aspects and properties. Find answers to questions like what is the highest common factor for a group of numbers, easy ways to calculate HCF, HCF by division method, its relation with LCM, and discover more interesting facts around them.
HCF by Prime Factorization
In order to find the HCF of numbers by the prime factorization method, we use the following steps. Let us understand this method using the example given below.
Step 1: Find the common prime factors of the given numbers.
Step 2: Then, multiply these common prime factors to obtain the HCF of those numbers.
highest common factor (HCF) of 32, 48 and 72
32 = 2x2x2x2x2
48= 2x2x2x2x3
72= 2x2x2x3x3
highest common factor (HCF) of 32, 48 and 72 = 2x2x2= 8
highest common factor (HCF) of 32, 48 and 72= 8
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A librarian's salary was $25000 in 2000 and $30500 in 2006. the librarians alary follow a linear growth pattern. What will the salary be in 2025
y=47,916.666 dollar after 25 years
librarian salary =25000 dollar in 2000
librarian salary=30500 dollar in 2006
in 6 years increment is 30500 - 25000= 5500dollar
in one year increment is 5500/6= 916.666
m= 916.666 each year
b= 25000
y=mx+b
y=916.666*25+25000 given x=25
y=47,916.666 dollar after 25 years
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HELP HELO
HELPPPPPP ASAP
On average, Leah's car gets 31.4 miles on every gallon of gasoline. If she fills up her tank for $2.18 per gallon, how much will it cost her to drive
358 miles?
Answer:
Step-by-step explanation:
Car drive 31.4 miles/gallon
for 358 miles, Leah needs 358/31.4 =~ 11.40 gallons
since it cost $2.18 / gallon, it will cost Leah 2.18 * 11.4 = $24.85
anna bought 8 tetras and 2 rainbow fish for her aquarium. the rainbow fish cost $6 more than the tetras. she paid a total of $37.
Answer-
The cost of one tetra is $2.5 and one rainbow fish is $8.5
Explanation
Let the cost one tetra be 'x';
Cost of rainbow fish = x + 6;
According to question;
8x + 2(x + 6) = 37;
10x = 25
x = $2.5;
the amount or equivalent paid or charged for something : price
The average cost of a university training has gone up dramatically.
the outlay or expenditure (as of attempt or sacrifice) made to acquire an item
He executed repute, but at the fee of dropping numerous buddies.
loss or penalty incurred specially in gaining some thing
the price of lives during war
three
costs plural : charges incurred in a judicial process
particularly : those given by the law or the courtroom to the triumphing party in opposition to the dropping birthday party
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The answersssssssssss
Answer:
pic 1 goes first second pic second slot
Step-by-step explanation:
in a bowl containing 10 marbles, 5 are blue and 5 are pink. if 2 marbles are picked randomly, what is the probability that the 2 marbles will not both be pink?
Answer:from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Step-by-step explanation:
Answer:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
Step-by-step explanation:
Find the surface area of the figure.
6 in.
6 in.
6 in.
SA = [?]in.²
Hint: Area of Triangle = b•h
After watching baking shows on T.V., Latrell signs up for a cake-decorating class. To practice
his new skills, he decorates a batch of cupcakes with sugar flowers. Latrell puts 4 sugar
flowers on each cupcake. In all, Latrell puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Latrell decorates?
m∠K=(6x+12)°. Find the measure of the complement of ∠K.
A. (102 + 6x)°
B. (112 + 6x)°
C. (67 − 6x)°
D. (78 − 6x)°
The measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°
Complement of an AngleFrom the question, we are to determine the complement of the given angle measure
From the given information, the measure of angle K (m ∠K) is (6x + 12)°
NOTE: If two angles are complementary, the measures of the angles sum up to 90°
Let the complement of angle K be angle L.
Thus,
∠K + ∠L = 90°
(6x + 12)° + ∠L = 90°
6x° + 12° + ∠L = 90°
∠L = 90° - 12° - 6x°
∠L = 78° - 6x°
∠L = (78 - 6x)°
Hence, the measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°
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How to convert 7/18 into a decimal number using long division
The conversion of 7/18 into a decimal number using long division would be 7/18 = 0.39
In this question, we have been given a fraction.
We need to convert given fraction into a decimal number using long division.
Given fraction: 7/ 18
Consider the long division of 18 ÷ 7
0.388
_________
18 ) 7
- 0
__________
70
- 54
__________
160
- 144
__________
160
- 144
___________
16...
This means, the 7/18 = 0.3888...
If we round the number 0.3888... to two decimal places then it would be, 0.39
Therefore, the conversion of 7/18 into a decimal number using long division would be 7/18 = 0.39
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34. THOUGHT PROVOKING
A runner's times (in minutes) in the four races
he has completed are 25.5, 24.3, 24.8, and 23.5.
The runner plans to run at least two more races
and wants to have an average time of less
than 24 minutes. Write and solve an inequality
to show how the runner can achieve his goal.
Answer:
Step-by-step explanation: I'm not sure it's an interesting question I hope you figure it out soon(:
Answer: x<45.9?
Step-by-step explanation:
25.5+24.3+24.8+23.5=98.1
So (x+98.1)/6<24?
x<45.9?
In a class of 36 students for every four students who could only speak one language, five students could speak more than one language. How many students in the class can speak more than one language?
7 students in the class can speak more than one language.
Given that,
Total student = 36
For every four students who could only speak one language
For every five students who could only speak one language.
To determine how many students in the class can speak more than one language.
Since,
For every five students who could only speak one language,
= 36 / 5
quotient = 7 ; remainder = 1
Implies that, 7 students in the class can speak more than one language.
Thus, 7 students in the class can speak more than one language.
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how do i solve -8 - -4 as an integer problem??
will give 30 points + brain
Answer:
-8 - (-4) = - 8 + 4
Because negative times a negative is positive
Please help with problem 19
Algebra 1
The expression for r is n(4t-v) and the expression for the width is (P-2l)/2
Subject of formulaThis is a way of representing a variable with another variable.
Given the expression below:
r/n + t = 4v
Making r the subject
r/n = 4v - t
r =. n(4t-v)
Hence the expression for r is n(4t-v)
For the expression
P = 2l + 2w
P - 2l = 2w
2w = P - 2l
w = (P-2l)/2
Hence the expression for the width is (P-2l)/2
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In the diagram, what is the ratio of patterned circles to plain circles?
Four arrays of circles are represented. First array has a plain circle. Second array has 4 patterned circles and 1 plain circle. Third array has 1 patterned circle and 4 plain circles. Fourth array has a plain circle.
The ratio of the patterned circles to plain circles is 6 : 7.
We are given the four arrays of the circles.
In the first array, we have only 1 plain circle.
In the second array, we have 4 patterned circles and 1 plain circle.
In the third array, we have 1 patterned circle and 4 plain circles.
In the fourth array, we have only 1 plain circle.
So, total patterned circles = 5 + 1
Total patterned circles = 6
Total plain circles = 1 + 1 + 4 + 1
Total plain circles = 7
Ratio of patterned circles to plain circles will be given as:
6 : 7
Therefore, we get that, ratio of the patterned circles to plain circles is 6 : 7.
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mav is older than justin. Their ages are consecutive integers find mavs age if the product of their age is 42
Answer:
7
Step-by-step explanation:
hope this works :)
consecutive numbers means 2 numbers next to eachother like 8 and 9 or 3 and 4
product means basically the result of numbers multiplying together, e.g. the product of 8×9 = 72
so if you use trial and error you will find 6 × 7 = 42 and since mav is older she must be 7 years old
Answer:
mav is 7
Step-by-step explanation:
let justin's age be n then mav is n + 1 and the product is
n(n + 1) = 42
n² + n = 42 ( subtract 42 from both sides )
n² + n - 42 = 0 ← in standard form
(n + 7)(n - 6) = 0 ← in factored form
equate both factors to zero and solve for n
n + 7 = 0 ⇒ n = - 7
n - 6 = 0 ⇒ n = 6
since n > 0 then n = 6
mav is n + 1 = 6 + 1 = 7
How much weeks would I need to save up to get to $1000 if I get 35 one week, then 45 the next week (Every week for chores I get 35 and 45 every other week)
Example: week 1: +35
Week 2: + 45
Week 3: +35
Week 4: + 45
Answer:
12.857 aa 35 +12.222 as 25
Answer:
26 weeks (6 months)
Step-by-step explanation:
$35x + $45y = $1000
I don't know how to show the work but it would take 26 weeks to reach $1,040. That's exactly 6 months, so half a year.
Pls help me quickly!
Answer:
Step-by-step explanation:
answer number 3
is the answer
The sum of the squares of two consecutive integers is 25 find the integers
the following are like terms and can be combined together through addition: 5x and 3y question 2 options: true false brainly
It is false that 5x and 3y are like terms. They can not be combined together through addition.
Like terms are those who encompass the same variables raised to the identical power. The most effective difference is within the numerical coefficients. only we are able to integrate like terms in an expression. To make algebraic formulation simpler to work with, we integrate like phrases to shorten and simplify them.to combine like phrases, upload the coefficients while retaining the variables consistent.We integrate like terms to form one term.in contrast to terms are algebraic words that don't have the equal coefficients and can't be raised to the identical strength.An algebraic expression with unlike phrases is 5x + 3y as it consists of wonderful variables, x and y, and they're not raised to the same power.To learn more about like terms, visit :
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Graph the line y=−15x on the coordinate plane.
Answer:
The graph is provided in the image
find the equivalent fractionsss with large denominatorsss
Answer: 27/45
Step-by-step explanation:
[tex]\displaystyle\\\frac{3}{5} =\\\\\frac{3}{5}*1=\\\\ \frac{3}{5}*\frac{9}{9} =\\\\\frac{3*9}{5*9}= \\\\\frac{27}{45}[/tex]
set up the equation relating the new ratio of broth to solution to the new percentage of broth to solution. 25/60
The new percentage of broth to solution 25/60 is 41.67
Broth, also known as bouillon is a savory liquid made of water in which meat, fish or vegetables have been simmered for a short period of time .It can be eaten alone, but it is most commonly used to prepare other dishes, such as soups.
Commercially prepared liquid broths are available, typically chicken, beef, fish, and vegetable varieties. Dehydrated broth in the form of bouillon cubes were commercialized beginning in the early 20th century.
Broths have been used as a nutrition source for the sick in Great Britain since at least the early 1700s, such as for dysentery patients
Let,
60 represents the 100% of the broth to solution
25 represents the x percentage of the broth to solution
Now,
Solving for the 25 which represents the x percentage of the broth to solution.
25/100 = x/100*
25/60 = x/100*x
25(100) = 60x
x = 2500/60
x = 41.67
Therefore,
25 represents the 41.67 percentage of the broth to solution.
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Answer:
a) 25/60=x/100
Step-by-step explanation:
assignment means participants have an equal chance of being in the control group or in the experimental group. blind double-blind random nonbiased
Random assignment means participants have an equal chance of being in the control group or in the experimental group.
Assignment refers to putting people into experimental or control group. In this, the Random assignment involves dividing the participants into two groups through randomization. That is, selection is on random. Tis method provides equal chance for the participants to be in the experimental or control group.
This kind of assignment will be unbiased and the participants in two groups does not differ in any way. So random assignment makes the experiment and control group equivalent. Also this makes the experimental study more accurate, acceptable and scientific too.
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Here are the first four terms of a quadratic sequence
3 10 21 36
Work out an expression for the nth term
Please please answers this question ill give u like and mark as brainlist
Answer:
2n² + n
Step-by-step explanation:
Given sequence:
3, 10, 21, 36, ...
Work out the first differences between terms:
[tex]3 \underset{+7}{\longrightarrow} 10 \underset{+11}{\longrightarrow} 21 \underset{+15}{\longrightarrow} 36[/tex]
As the first differences are not the same, work out the second differences.
[tex]7 \underset{+4}{\longrightarrow} 11 \underset{+4}{\longrightarrow} 15[/tex]
As the second differences are the same, the sequence is quadratic and will contain an n² term.
The coefficient of n² is always half of the second difference. Therefore, as the second difference is 4, the coefficient of n² is 2.
To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare with the given sequence:
[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4 \\\cline{1-5} 2n^2 & 2 & 8 & 18 & 32\\\cline{1-5} \sf Operation & +1 & +2& +3& +4\\\cline{1-5} \sf Sequence & 3 & 10 & 21 & 36\\\cline{1-5}\end{array}[/tex]
Therefore, we need to add n to 2n² to match the sequence.
Therefore, the nth term of this sequence is 2n² + n.
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7. Which statements about the values of 7.055
and 70.55 are true? Select all that apply.
7.055 is 10 of 70.55.
7.055 is 100 of 70.55.
70.55 is 10 times 7.055.
70.55 is 100 times 7.055.
7.055 is 10 times 70.55.
The statement which is true to the values of 7.055 and 70.55 are true is:
70.55 is 10 times 7.055. is true.
Given, the values are 7.055 and 70.55
statement A.
7.055 is 10 of 70.55
= 70.55×1/10
= 705.5
⇒ 705.5 ≠ 7.055
Statement B.
7.055 is 100 of 70.55.
= 70.55×1/100
= 0.7055
⇒ 0.7055 ≠ 7.055
Statement C.
70.55 is 10 times 7.055.
= 10 × 7.055
= 70.55
⇒ 70.55 = 70.55
hence true.
Statement D.
70.55 is 100 times 7.055.
= 100 × 7.055
= 705.5
⇒ 705.5 ≠ 70.55
Statement E.
7.055 is 10 times 70.55.
= 10 × 70.55.
= 705.5
⇒ 705.5 ≠ 70.55
hence the correct option is 70.55 is 10 times 7.055.
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What is x if f(x) = -2
in that function x would be -2
Determine the values of x in the equation x2 = 64.
x = ±32
x = 32
x = ±8
x = −8
Answer:
32 or +-8 depending on question
Step-by-step explanation:
If question is 2x = 64, then x= 32
If question is x^2 = 64, then x= +-8
25 points plus brainliest
Answer:
x = -7
Let the first integer be x.
Given the next two integers are consecutive, it would be: x+1, x+2
The problem states: "4 more than the smaller number plus twice the 3rd number is 7 less than the 2nd number."
Translating English to Algebra, you'll get:
(x + 4) + 2(x + 2) + 7 = x + 1
x + 4 + 2x + 4 + 7 = x + 1
3x + 15 = x + 1
2x = -14
x = -7
That would be the third option.
Please help me!!! In calculus
Answer::
:i
Step-by-step explanation:
.
What’s the answer to 4x(x+3) < -24
The answer to the inequality is expressed as x< 1 and x< -4
What are inequalities?Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
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