The greatest common factor (GCF) of 20 and 24 is 4, by using both methods which are Listing Factors and Prime Factorization.
What is the Prime Factorization method?
Divide the given number by the smallest prime number. In this case, the smallest prime number should divide by the number exactly. Step 2: Again, divide the quotient by the smallest prime number. Step 3: Repeat the process, until the quotient becomes 1.
To find the greatest common factor (GCF) of 20 and 24, we can use the following methods:
Method 1: Listing Factors
List the factors of 20: 1, 2, 4, 5, 10, 20
List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Find the largest factor that both numbers share: 4
Therefore, the GCF of 20 and 24 is 4.
Method 2: Prime Factorization
Find the prime factorization of each number: 20 = 2 x 2 x 5, 24 = 2 x 2 x 2 x 3
Identify the common prime factors: 2 x 2 = 4
Therefore, the GCF of 20 and 24 is 4.
Either method shows that the greatest common factor of 20 and 24 is 4.
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Which addition is the model below?
Answer:
not sure if the top is negative or positive but;;
if the top is negative then the answer is F
Step-by-step explanation:
Who knows how to do this I TRULY NEED HELP
Edward spends £610 on a plane ticket and $180 on airport tax. Using £1 = $1.34, what percentage of the total cost does Edward spend on airport tax? Give your answer rounded to 1 dp.
Answer: 18.0%
Step-by-step explanation:
Given: Cost of plane ticket = £610 = $ 610 x 1.34 [ £1 = $1.34 ]
= $ 817.4
Airport tax = $180
Total cost = $(817.4+180)= $997.4
The percentage of the total cost does Edward spend on airport tax = [tex]\dfrac{180}{997.4}\times100\approx18.0\%[/tex]
Hence, the required answer = 18.0%
2+?=-1 I don’t know what this is
Answer:
x=-3
Step-by-step explanation:
lets make the "?" to a "x"
2+x=-1
do the math and its x=-3
so that means 2+-3=-1
Answer:
? = -3
2 + -3 = -1
Step-by-step explanation:
You're adding negative 3 to positive 2 (2 + -3 = -1), which is the same thing as subtracting positive 3 minus positive 2 (2 - 3 = -1).
Hope this helps :)
What is the value for x?
Answer:
All angles must add up to 180, so if you add 69+5x+2+9y-3, it is = to 180.
First we can subtract 68 cancelling out 69, 2 and -3 so it is
5x+9y = 112. I assume this is an iscoceles triangle so we already knew 9y - 3 = 69, y=8, x=8
Find which ones are equivalent to 6/12 fractions.
Answer:
0.5 or 5/10
Step-by-step explanation:
Answer:
Equivalent Fractions for 6/12: There are infinity equivalent fractions to 612. See some examples: 12, 24, 36, 48, 510, 612, 714, 816, 918, 1020, 1122, 1224, 1326, 1428, 1530, 1632, 1734, 1836, 1938, 2040...
Step-by-step explanation:
i hope it's help you
ASAP MATH!! MARKING BRAINLIST!! DOES ANYONE KNOW
Answer:
-3 and -5m =-3 over -5
Step-by-step explanation:
Answer:
m = -1/3
Step-by-step explanation:
m = -1 - (-2) / -4 - (-1)
m = -1 + 2 / -4 + 1
m = 1/-3
m = -1/3
Day 1 is negative 4 dollars, day 2 is negative 2 dollars, day 3 is negative 3 dollars.
Sung borrowed money from his parents over the last three days. This is represented by the negative values in the table.
What is the total of the values?
What is the average of the values?
Answer:
-9 or $9 borrowed
$3 is the average
Step-by-step explanation:
-4 + -2 + -3 = -9
$9/3 days = $3
Analyze the student’s work. Is the answer correct? Explain.
Ik its not B
Answer:
im not 100 percent sure but i think he right
Step-by-step explanation:
Answer:
A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7
Step-by-step explanation:
Edge 2022
pls help me with these thx
Write a numeric expression for EACH phrase on the line provided:
Answer:
Step-by-step explanation:
x^2-4
5x+6
15-(x+3)
2(x-7)
Hope this is correct
85 : 45 = 170 : x
Answer to get the answer for x
x=9/34 that's the answer
ABCD is a trapezium.
A
Diagram NOT
accurately drawn
10 cm
9 cm
3 cm
B.
AD = 10 cm
AB = 9 cm
D0= 6 cm
Angle ABC = angle BCD = 90°
Calculate the length of AC.
Give your answer correct to 3 significant figures.
Answer:
12.04
Step-by-step explanation:
use Pythagorean theorem to find BC then to find ac.
The length of AC from the given trapezium is 12.042 cm.
In the given trapezium, AD=10 cm, AB=9 cm, DC=3 cm.
Draw perpendicular from D to AB, intersecting at X.
So, AX=6 cm
By using Pythagoras theorem, we get
AD²=AX²+DX²
10²=6²+DX²
100=36+DX²
DX²=100-36
DX²=64
DX=8 cm
Here, DX=BC=8 cm
Now, consider triangle ABC and apply Pythagoras theorem, we get
AC²=AB²+BC²
AC²=9²+8²
AC²=81+64
AC²=145
AC=√145=12.042 cm
Therefore, the length of AC from the given trapezium is 12.042 cm.
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Identify the terms and like terms in the expression.
t + 8 +3t
Answer:
The terms are t, 8, and 3t
The like terms are t and 3t
Step-by-step explanation:
N/A
Here is a rectangle ABCD.
A
B
20 cm
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answer: 8%
Step-by-step explanation:
Original Perimeter of the rectangle is:
= 2 * ( Length * Width)
= 2 * (20 + 30)
= 100 cm
The length increased by 10%. It therefore increased to:
= 30 * ( 1 + 10%)
= 30 * 1.1
= 33 cm
The width increased by 5%. It increased to:
= 20 * ( 1 + 5%)
= 21 cm
New Perimeter is therefore:
= 2 * ( 33 + 21)
= 108 cm
Percentage increase in perimeter is:
= (New perimeter - old) / old perimeter
= (108 - 100) / 100
= 8%
Convert from standard to slope intercept form 3x -y= -1
Answer:
y= 3x + 1
Step-by-step explanation:solve for y
subtract 3x from the left which leaves -y= -3x -1
then you have to take flip the signs or divide by -1 so it comes out to y=3x + 1
Answer:
y = 3x + 1
Step-by-step explanation:
Slope Intercept form is written out as the following:
y = mx + b
In order to convert "3x - y = -1", we first subtract 3x from both sides, giving us:
-y = -3x - 1
Since we have "-y", we multiply -1 on both sides.
-1(-y) = -1(-3x - 1)
Multiplying two negatives makes a positive, hence when we multiply -1 on both sides, it becomes this:
y = 3x + 1
So converting to the Slope Intercept form ends up being "y = 3x + 1"
How do you multuply and divide rational numbers! -aspen
Answer:
If you can simplify your problem before you multiply, your problem will be easier to solve. To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. Then you go ahead and multiply the tops and bottoms together to get your answer.
Step-by-step explanation:
Which of the following values of x will result in a true statement when
substituted into the given equation?
-3(x - 2) = 9
OA) X= 1
OB x = -1
OO. X = 3
OD. X = -3
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
-3(x-2)=9 Equation/Question
Step 2
-3(x-2)=9 Remove parenthesis
3x+6=9
Step 3
3x+6=9 Add -6
-3x=3
Step 4
−3x=3 Divide
answer
x=-1
Hope this helps
A company makes flower pots. The flower pots have an expense equation of E = 2.75q + $24,582. What is
the fixed cost in the expense function
Answer:
$24,582
Step-by-step explanation:
E = 2.75q + $24,582
The expense equation above has the general relation :
Expense = [(variable cost * number of units) + fixed cost]
The fixed cost incurred is not dependent on the number of units purchased or produced and as such is usually regarded as a constant in the formula.
Thus, the fixed cost in the expense equation is thus : $24,582
Which of the following expressions is equivalent to the logarithmic
expression below?
log4 (7/x^3)
A. 3 log4 7 - log4 x
O B. log4 7-3 log4 x
C. lo94 7 + 3 log4 X
D. 3 log4 7 + log4 X
Answer:
O B. log4 7-3 log4 x
[tex] log_{4}( \frac{7}{ {x}^{3} } ) \\ = log_{4}7 - log_{4}{x}^{3} \\ = log_{4}7 - 3 log_{4}x[/tex]
The expression equivalent to the logarithmic expression
log 4 (7/x^3) will be B. log4 7-3 log4 x
What is log ?
A logarithm is the power to which a number must be raised in order to get some other number
log 4 ([tex]\frac{7}{x^3}[/tex])
log 4.7 - log 4x^3 (log (a/b) = log a - log b
log 4.7 - 3 log 4x
correct answer is B. log4 7-3 log4 x
learn more about log
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Dale has a special deck of cards. Each card has a different rational number on it. The cards are 0.25, 4/5, 2/9, 0.48, and 8/11. How many cards have a value that is greater than ½?
Answer:
explain this question more clearer pls
Step-by-step explanation:
Answer: two cards
I got it right.
What is 11/20 of a minute?
Answer:
33 seconds
Step-by-step explanation:
Answer:
33 seconds
Step-by-step explanation:
in a minute there are 60 secs
11/20 = 0.55
0.55 x 60 = 33
This equation shows how the amount of money Sadie makes from selling lemonade is related to the number of cups sold. d =3c
The variable c represents the number of cups sold, and the variable d represents earnings in dollars. After selling a total of 11 cups of lemonade, how much money will Sadie have in all?
Answer:
r3m3m83r, 4LW475TR95T8R34K09TR00ML1NK5.
Step-by-step explanation:
A car travels 2 5/8
miles in 3 1/2
minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
Ad = 0.75m
B. d=14 m
C. d = 3.5m
D. d = 2.625m
Answer:
A. d = 0.75m.
Step-by-step explanation:
If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),
Then in m minutes the car will travel d miles
d = (2.625*m)÷ 3.5
d = 0.75m
Which is option A
2 1/3 ÷ 16 please answer this
Answer: 0.14583333333
Step-by-step explanation:
A study of black bears in the Adirondacks reveals that their population can be represented by the function , where is the number of years since the study began. Write a function that models the monthly growth rate (to the nearest hundredth of a percent) of the black bear population
Answer:
[tex]\mathbf{ P(t) = 3500 (1.}00206)^{12t}[/tex]
Step-by-step explanation:
The missing value of the given function is:
[tex]P(t) = 3500 (1.025)^t[/tex]
where
t = no. of years since study began
∴
[tex]P(t) = 3500 (1+0.025)^t[/tex]
Per year, the function can be written as:
[tex]P(t) = 3500 (1+\dfrac{25}{1000})^t[/tex]
For monthly growth rate m = 12
[tex]P(t) = 3500 (1+\dfrac{25}{1000(m)})^{mt}[/tex]
[tex]P(t) = 3500 (1+\dfrac{25}{1000(12)})^{12t}[/tex]
[tex]P(t) = 3500 (1+\dfrac{25}{12000})^{12t}[/tex]
[tex]P(t) = 3500 (1+0.00206)^{12t}[/tex]
[tex]\mathbf{ P(t) = 3500 (1.}00206)^{12t}[/tex]
Can someone who is good at math help? I only need 1a
Answer:
The radius would be 12cm
and the height 4
gives u the surface area of 1206cm^3
Step-by-step explanation:
Which list shows these lengths in order from greatest to least?
9514 1404 393
Answer:
√3/11, π/24, 3/25, 9/100
Step-by-step explanation:
The 2-decimal value of each of the numbers is ...
9/100 = 0.09
π/24 = 0.13
3/25 = 0.12
√3/11 = 0.16
Then the order from greatest to least is 0.16, 0.13, 0.12, 0.09. In the original form, that is ...
√3/11, π/24, 3/25, 9/100 . . . . . matches choice B
please simplify -2(y+3)
Answer:
I need help to simplify this problem? -2xy + 3x - 2xy + 3:
Can someone help me plz?
Answer:
60 degrees
Step-by-step explanation:
The total measures of a triangle should equal 180 total. Add the three known angles to get 120. Subtract that from 180 to get 60. So, the last angle measures 60 degrees.
The width of a rectangle is 7x-7 feet and the length is 4x+9 feet , what is the perimeter of the rectangle?? PLS HELP ASAP!!!!!!!!!
Answer:
The perimeter of rectangle is 22x+4 feet.
Step-by-step explanation:
Width of rectangle = 7x-7 feet
Length of rectangle = 4x+9 feet
We need to find perimeter of rectangle.
The formula used is:
[tex]Perimeter\: of\: rectangle=2(Length+ Width)[/tex]
Now, putting values and finding perimeter
[tex]Perimeter\: of\: rectangle=2(Length+ Width)\\Perimeter\: of\: rectangle=2(4x+9+ 7x-7)\\Perimeter\: of\: rectangle=2(4x+7x-7+9)\\Perimeter\: of\: rectangle=2(11x+2)\\Perimeter\: of\: rectangle=22x+4\:feet[/tex]
So, the perimeter of rectangle is 22x+4 feet.
