Prime factorization practice all factors 1.- 25 2.- 49 3.- 7 4.- 13 5.- 24 6.- 48 7.- 168
Answers
For 1, from some guess and check we can figure out that 5*5=25. Since 5 is a prime number, that's it!
For 2, we can figure out that 7*7=49 and 7 is a prime number, so we're good there.
From 6, we can do some guess and check to figure out that 2*24=48, 2*12=24, 2*6=12, and 2*3=6, resulting in 2*2*2*2*3=48 since 2 and 3 are prime numbers. We found out, for example, to find 2*12 due to that if 2*24=48, 2*24 is our current factorization. By finding 2*12=24, we can switch it to 2*2*12
Related Questions
The equation 9.95 + 0.30s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
Answers
The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded.
Then the cost of downloading 35 songs will be given as,
c = 9.95 + 0.30s
c = 9.95 + 0.30 x 35
c = 9.95 + 10.5
c = $20.45
The cost of downloading 35 songs will be $20.45.
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33-6(1 1/3+ 2/3)= ? what does it equal?
Answers
33 - 6 ( 1 3/3)
33 - 6 ( 2)
33 - 12
21
hope this helps! : D
To solve the expression 33-6(1 1/3+ 2/3), first simplify the expression within the parentheses with the Order of Operations. Then, perform the multiplication. Finally, subtract the result from the initial value of 33.
To solve the expression 33-6(1 1/3+ 2/3), we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we simplify the expression within the parentheses:
1 1/3 + 2/3 = 2.
Next, we perform the multiplication: 6 * 2 = 12. Finally, we subtract the result from 33: 33 - 12 = 21.
Therefore, the expression 33-6(1 1/3+ 2/3) equals 21.
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Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even. what kind of proof did you use?
Answers
m=2k-n, p=2l-n
Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
This is about usage of direct proof.
m + p was proved to be even using direct proof.
We are given;m, n and p are integers
m + n and n + p are even integers.
From direct proof in Maths;If a is an even integer, then there will exist an integer b such that;
a = 2b
Applying that to our question, we can say that;m + n = 2b
n + p = 2c
Adding both equations together gives;m + 2n + p = 2b + 2c
We want to find if m + p is even. Thus, let's rearrange to get them on one side;m + p = 2b + 2c - 2n
Factorizing, we have;
m + p = 2(b + c - n)
From earlier, b, c and n are integers. Therefore, from earlier formula about direct proof of even integers, we can equally say that m + p is also even.
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Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}
Answers
The numbers we're given are {3, 4, 6, 7, 9} So lets plug them in!
3*3=9
3*4=12
3*6=18
3*7=21
3*9=27
So the answer is {9, 12, 18, 21, 27}! If you have any questions I'd be happy to help!
There are 14 books on a shelf. 8 of these books are new What is the ratio of all books to used books?
Answers
The ratio of all books to used books in simplified form is 7 : 3.
Used the concept of ratio that states,
The ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Given that,
There are 14 books on a shelf.
8 of these books are new.
Here, the number of used books is,
14 - 8
= 6
Thus, the ratio of all books to used books is,
14 : 6
Simplified form;
14 : 6 = 7 : 3
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How to get the answer
Answers
sqrt(16) = 4
sqrt4 = 2
2^2 = 4
so now you have 4-6(4)/2
6*4 =24
4-24 = -20
-20/2 = -10
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3
Answers
we know that
If two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
In this problem we have
[tex]m1=\frac{2}{3}[/tex]
Substitute in the formula and solve for m2
[tex]\frac{2}{3}*m2=-1[/tex]
[tex]m2=-\frac{3}{2}[/tex]
therefore
the answer is
The slope is equal to [tex]-\frac{3}{2}[/tex]
A family went on vacation and used 5.4 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
Answers
so 5.4 gallons/150 miles = ?gallons/200 miles
so 5.4gallons*200 miles = ?gallons*150 miles
5.4gallons*200miles/150miles = ? gallons
?gallons = 7.2 gallons
7.2 total gallons of gasoline they will need to travel 200 more miles.
What is Distance?Distance is the total speed of an object. This is regardless of direction. It is also defined as multiplying the speed of an object by the total time taken by the object to travel the length of its path.
Distance = Speed * Time
It's SI unit is metre (m).
It is a scalar quantity which has no direction. It only has magnitude means only value.
For above given example,
For 150 miles 5.4 gallons gas is used
so, for 1 mile 0.036 gallon will be used
So, For more 200 miles= 0.036*200
= 7.2 gallons of gas will be used
Thus, 7.2 total gallons of gasoline they will need to travel 200 more miles.
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If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function?
Answers
The right answer is g(x)=(1/4x)^2 had the same question!!
Final answer:
The equation of the quadratic function f(x) = x² after a horizontal stretch by a factor of 4 is f(x) = x²/16.
Explanation:
When you horizontally stretch the quadratic parent function f(x) = x² by a factor of 4, you are stretching the function in the x-direction. This means that each x-coordinate of the graph is multiplied by the stretch factor. The new function is obtained by replacing x with x/4 in the original function. So the equation of the new function after a horizontal stretch by a factor of 4 is:
f(x) = (x/4)²
This simplifies to:
f(x) = x²/16
A tank whose volume is unknown is divided into two parts by a partition. one side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 mpa, while the other side is evacuated. the partition is now removed, and the refrigerant fills the entire tank. if the final state of the refrigerant is 208c and 280 kpa, determine the volume of the tank.
Answers
suppose you wanted the tank to hold 100 gallons of water and it was 50 gallons per cubic feet. How many cubic feet would you need? Obviously, 2 cubic feet. How did you get that?? Well, you divided 100 by 50 to get 2.
O.K., now, let's try YOUR problem. 225000 gallons and 7.5 gallons per cubic feet. How many cubic feet do you need? Must be 225,000/7.5 = 30,000 cubic feet
O.K., now we're half way there. we (should) know that the volume of a prism is
l x w x h. We now know the volume must also be 30,000
so l x w x h = 30000
100 x 20 x h = 30000
you should be able to take it from there.
Problem #2
We approach it the exact same way.
It's too hard as stated. Let's make up an easier problem.
suppose 1 gallon took up 5 cubic feet. If you had 10 cubic feet, how many gallons would you have?
well, clearly, you would have 2 gallons. How did you get it?
Now, how many cubic feet in the cylinder? Well you (should) know that the volume of a cylinder is:
Pi r^2h = 3.14 x 25^2 h = 1962.5 h
Now we have a bit of a problem. You didn't tell me how high the tank is. Let us say it is 10 feet.
So, the tank had 19,625 cubic feet.
Go back to the start of this problem and you will know what to do next.
in 2009 there were three times as many millionares in kentucky as there were in rhode island. Together, a total of 84 thousand millionaires lived in the two states . find the number of millionaires in each of these states
Answers
Therefore we know x+3x=84,000 now just solve for x!
4x=84000
x=84000/4
x=21000
Hope this helps!
On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Answers
The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.
Explanation:The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.
Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.
Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.
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How many tens are in 3,100
Answers
If you divide 3100 by 10 you get 310
Hope I helped (:
solve for the indicated variable. p=×+y+z for y
Answers
Hope this helps!
Manufacturer of batteries routinely tests its products to determine lifetime (hours of continuous usage). suppose they select a sample of 30 aaa batteries and find that the average lifetime is 1500 hours.
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Monique says the model shows 7/100. Do you agree? Explain.
Answers
712 ÷ 74 is equal to _____. 13 3 73 78
Answers
Answer:
[tex]\frac{712}{74}=9.62[/tex]
Step-by-step explanation:
Given, [tex]\frac{712}{74}[/tex]
The numerator part means upper value of fraction and upper value of fraction is called Dividened.
The denomerator part means lower part of fraction and lower value of fraction is called Divisor.
The value obtained when the numerator is divided by denomerator is called Quotient.
Now, there is 712 is Dividened and 74 is Divisor.
Now,after dividing 712 by 74 we get quotient value 9.62.
Hence , [tex]\frac{712}{74} =9.62[/tex]
Therefore, the correct answer is 9.62.
Answer:
7^8
Step-by-step explanation:
When two probabilities are multiplied, the probability represents a compound event
Answers
find the average for the following group of numbers 85, 92, 84,85,96,95
Answers
(85 + 92 + 84 + 85 + 96 + 95)/6 = 537/6 = 89.5
you're answer is 89.5 as average
hope this helps
3⁄7 + 2⁄3 + 3⁄6 whats is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Find the LCD (least common denominator) of all fractions and that would be 42
make the denominators (bottom numbers of a fraction) the same as the LCD
simplify, okay now they're all equal
join the denominators together
simplify it and u get 67/42
Lastly convert it to a mixed fraction 1 25/42.
Choose all the answers that apply. What is the freezing point of water? 0°C 0°F 32°C 32°F
Answers
8 ten thousands 4 thousands 3 hundreds 6 tens 7 ones in Standard form
Answers
84,367
The standard form is 84,367.
Hope this helps!
The value of each digit in a number is known as the place value. The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiplied by 10The tenth means the tenth part of that digit which is that digit divided by 10The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form can be written as,
8 ten thousand = 8 × 10,000 = 80,000
4 thousand = 4 × 1,000 = 4,000
3 hundred = 3 × 100 = 300
6 tens = 6 × 10 = 60
7 ones = 7
Numbe = 80,000 + 4,000 + 300 + 60 +7 = 84, 367
Hence, the given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.
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Simplify the expression (1/4ab)^-2. Assume .
Answers
After simplification, the solution is,
⇒ 16a²b²
We have,
The given expression to simplify is,
⇒ (1 / 4ab)⁻²
Now, We can simplify the expression by rule of exponent as,
⇒ (1 / 4ab)⁻²
⇒ (4ab)²
⇒ 4² × a² × b²
⇒ 16a²b²
Therefore, The solution is,
⇒ 16a²b²
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if one out of every 12 students at a school share a locker,how many share a locker in a school of 456 students?
Answers
1 out of 12 can be written as 1/12
now multiply 456 by 1/2
this is the same as dividing 456 by 12
456/12 = 38 students share a locker
answer
38 share lockers
A) a cookie jar contains 8 chocolate chip cookies, 4 peanut butter cookies, and 7 sugar cookies. you reach in (you can't see inside) and withdraw 4 cookies without replacement. what is the probability that you got exactly 2 chocolate chip cookies?
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Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost = $ _______
What is the cost to ship this computer from Store B?
ASAP
Answers
Answer:
0.02($1,444.50)
Step-by-step explanation:
hope it helped i got it right
The required cost to ship her computer from store B is $28.89.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of a hundred.
We have been given that Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
We have to determine 2% of the total Cost of Computer Repair which is 1,444.50.
Shipping cost = 2% of 1,444.50
Convert percent into the fraction form,
Shipping cost = 2/100 × 1,444.50
convert the fraction into decimal form to get
Shipping cost = 0.02 × 1,444.50
Apply the multiplication operation, and we get
Shipping cost = $28.89
Therefore, the required cost to ship her computer from store B is $28.89.
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The graph below represents the running schedule of a distance runner, who is increasing the distance she runs each week. What is the distance she will run in the ninth week?
A. 22 miles
B. 21 miles
C. 20 miles
D. 19 miles (My answer???)
Answers
Answer: The answer is (D) 19 miles.
Step-by-step explanation: We are given a graph that represents the running schedule of a distance runner, who is increasing the distance she runs each week. We are to find the distance she will run in the ninth week.
In the graph, the number of week are represented by the X-axis and the distance run is represented by the Y-axis.
Since we are to find the distance run in the ninth week, so we will have to find the value of y when the value of x is 9.
We can see from the graph that when x = 9, then y = 19, as (9, 19) is a point on the graph. So, the distance run in the ninth week is 19 miles.
Thus, (D) is the correct option.
3
minutes to walk
37.5
meters. What is its speed?
Answers
speed = 37.5 / 3 = 12.5 meters per minute <=
gragh h(t) = 400 − 39t − 157e−t/4
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Write an equation to find two consecutive odd integers whose product is 143. (A). x(x+2)+143=0 (B). x(x+1)=143 (C.) x2+2x‒143=0 (D.) x2+x=143
Answers
" product " means multiply
x(x + 2) = 143
x^2 + 2x = 143
x^2 + 2x - 143 = 0 <===