The Greatest Common Factor of 22ab2c2 and 40a3c2 is 2ac2, found by identifying the highest power of each variable and number that divides the coefficients 22 and 40.
Explanation:When finding the Greatest Common Factor (GCF) we need to look for the highest power of each variable and number that appears in all the terms. In the terms 22ab2c2 and 40a3c2, the GCF will consists of the highest power of each variable found in both terms, and the highest number that divides both 22 and 40.
To find the GCF you need to divide both 22 and 40 by common factor. The highest number that divides 22 and 40 is 2. For the variables, the lowest power of 'a' and 'c' in both terms is a and c2, respectively. 'b' is not in both terms, so we omit it. So, the GCF of 22ab2c2 and 40a3c2 is 2ac2.
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Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3
x − intercept is ( , )
y − intercept is ( , )
Answer:
x - intercept is (2,0)
y - intercept is (0,3)
Step-by-step explanation:
y = 0 for x - intercept
0 = - 1.5x + 3
- 3 = - 1.5x
x = 2
x = 0 for y - intercept
y = 0 + 3
y = 3
A pet shop uses 43 pounds of food each day. How many pounds are used in 365 days?
Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi
B.) 33 mi; 39 mi
C.) 66 mi; 78 mi
D.) 49.5 mi; 58.5 mi
the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz
the correct answer is 76.5 mi; 67.5 mi
Write 63 as a sum of tens and ones
Are the fractions 1/2 and 3/8 equivalent fractions
A fraction is a way to describe a part of a whole. The value of the two fractions is not equal.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of the two fractions can be simplified as,
1/2 = 0.5
3/8 = 0.375
As it can be seen that the value of the two fractions is different, therefore, the value of the two fractions is not equal.
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What is 45,824 rounded to the nearest thousand
A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 37 songs this month is $42.72.
How much is the flat fee?
(pls tell me the equation)
How do I do this without a graph to plot points on
204 meters 89 cm = how many cm??
204 meters 89 centimeters is equal to 20,489 centimeters.
To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.
204 meters is equal to 204 × 100 = 20,400 centimeters.
Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.
Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.
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Marty has a fenced yard in the shape of a rectangle. It's area is 635.4 square feet. The width of the yard is 18 feet. What is the length of the fence?
The length of the rectangular yard, given an area of 635.4 square feet and a width of 18 feet, can be calculated using the formula for the area of a rectangle. Substituting the given values into the formula, we find that the length is approximately 35.3 feet.
Explanation:The question is about finding the length of a rectangular yard given its area and width. Recognizing that the formula for the area of a rectangle is Area = Length x Width, we can easily find the length of the yard by rearranging the formula.
To find the length of a rectangle when you know the area and width, use the rearranged area formula: Length = Area ÷ Width.
Given the values from the problem: Area = 635.4 sq ft and Width = 18 ft, we substitute them into the formula: Length = 635.4 ÷ 18. This results in a length of approximately 35.3 feet.
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1.75 rounded to the nearest whole number
The rounded number is given by A = 2
What is rounding up numbers?There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the rounded number be represented as A
Let the number be represented as n
Now , the value of n = 1.75
And , when you round to the nearest ones place. The 1 in the ones place rounds up to 2 because the digit to the right in the tenths place is 7.
When the digit to the right is 5 or greater we round away from 0.
So , the rounded number is A = 2
Hence , the rounded number is A = 2
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For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2
The value of y that satisfies the equation is -1/2.
The correct option is D.
To solve the equation, using the property of exponents:
125 = (1/25[tex])^{y-1[/tex]
Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):
So, 5³ = (1/5²[tex])^{y-1[/tex]
5³ = (5⁻²[tex])^{y-1[/tex]
5³ =[tex]5^{-2y+2[/tex]
Since the bases are the same, comparing the exponents as:
3 = -2y+ 2
3-2 = -2y
-2y = 1
y= -1/2.
Therefore, the value of y that satisfies the equation is -1/2.
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Which expression is equivalent to 3 square root 216x27 ?
6x3
6x9
72x3
72x9
The answer to your problem would be answer B. 6x^9. It is the only answer equivalent to the 3 square root 216x27.
Hope this helps. :3
67a(t+z)=45z+67 solve for z.
I need help. Please?
Equation: y= -0.25x+1
After how many minutes is the timer 25% full?
what is a solution to (x-2)(x+10)=13?
a: x=3
b: x=8
c: x=10
d: x=11
256is what percent of 400=
you can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's
the attendance at two baseball games on successive nights was 66,000 the attendance on Thursdays game was 6,000 more than 2/3 of the attendance at Friday nights game
Fridays game = x
Thursdays game = 2/3x +6000
x + 2/3x +6000 = 66000
x +2/3x = 5/3x
5/3x + 6000 = 66000
5/3x = 60000
x = 60000 / 5/3 = 36000
Friday night = 36000
Thursday night = 30000
Which equation below is a direct variation? A. 0.05x = y B. x + 2 = y C. D. y = 2x + 6
Use the order of operations to find the value of the expression 5*2+6-5
Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?
20 points please answer and write an inequality
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
find the percent increase for 13 friends to 14 friends round to nearest percent if you can
Final answer:
The percent increase from 13 to 14 friends is calculated as [(14 - 13) / 13] × 100, which gives a result of approximately 7.7%. After rounding to the nearest percent, the increase is 8%.
Explanation:
To find the percent increase from 13 friends to 14 friends, we use the formula for percentage change, which is:
Percentage Change = [(New Value - Original Value) / Original Value] × 100
In this case, our original value is 13 (the number of friends at the start) and our new value is 14 (the number of friends after the increase). So, we plug these numbers into our formula:
Percentage Change = [(14 - 13) / 13] × 100 = [1 / 13] × 100
Now, we calculate the fraction and then multiply by 100:
Percentage Change = (0.07692307692) × 100 ≈ 7.7%
When rounded to the nearest percent, the percent increase is approximately 8%.
estimate 102.3 divided by 4.7
Answer:
20
Explanation:
To estimate, we round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.
Answer:
The estimate result of 102.3 divided by 4.7 is 20.
Step-by-step explanation:
Given : 102.3 divided by 4.7
We have to estimate 102.3 divided by 4.7
Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.
Since, we have to divide,
102.3 divided by 4.7
Rounding 102.7 to nearest tens place , we get, 102. 7 = 100
And Rounding 4.7 to nearest ones place, we get, 4.7 = 5
Thus, when divide 100 by 5 , we get 20.
Thus, 102.3 divided by 4.7 ≈ 20
Thus, The estimate result of 102.3 divided by 4.7 is 20.
Gary read 34 pages of a 340 pages book what percentage did he read
As per linear equation, Gary read 10% of the book.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
Gary read 34 pages of a 340 pages book.
Therefore, the percentage of the book he read is
= (34/340) × 100%
= 10%
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mr smith waters one one of his plants every 10 days and another plant every 14 days. If he water both days today when is the next time both plants will be watered on the same day?.
Answer:
after 70 days.
Step-by-step explanation:
Mr. Smith waters one of his plants every 10 days and another plant ever 14 days.
he waters both plants today we have to find the next time both plants will be watered on the same day.
So we will take LCM of these numbers.
LCM of 10 , 14
= 2 × 5 × 7
= 70
The next time both plants will be watered on the same day after 70 days.
How much is 24 ounces of spread if it is $6.40 per pound?
Which function describes this graph?
f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2
What is 231 divided by 42