Well the first one is B,30.
Part 1:Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?
Part 2: Give an example of how prime factorization could be used in the real world.
There is only 1 set of prime factors for any number
A prime number can be divided evenly only by 1 or
itself, so it would not have any prime factors
Part 2
Prime factorization is used by people who try to make or break secret codes made with numbers, because factoring really large numbers is difficult and can take computers a long time to do it.
Answer:
Part 1:Is it possible for a composite number to have more than one prime factorization?
Answer: No.
Is it possible for a number to have no prime factors? Why?
Answer: Yes. The number 1 has no prime factors, and 1 is not prime.
Part 2: Give an example of how prime factorization could be used in the real world.
Answer: A carpenter needs to add two lengths to cut a piece of wood. One length is 5 1/16 inch, and the other length is 3 3/10 in. By using prime factors of 16 and 10, he can find the least common denominator of 16 and 10, and he can add the lengths together.
Step-by-step explanation:
hideki is collecting pennies. Each month in may, june, and july, he put 200 pennies in a jug
Suppose two angles of one triangle are congruent to two angles of another triangle. What can you conclude about the relationship between the third angles in each triangle? What does this tell you about the two triangles? Justify your answer.
Solve the proportion. Where necessary, round to the nearest hundreth. x/2 = 8/9
Find an equivalent expression to represent the product shown as a sum.
a.Which expression is equivalent to 3(2x+4)?
A.6x+4
B.6x+12
C.5x+7
D.2x+12
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square
Find the slope of the line passing through the points (-2, -3) and (-2, 5).
the answer is undifined
What is a common denominator for 2/8 and 3/4 in simplest form?
The common denominator for 2/8 and 3/4 in simplest form is 8.
Explanation:To find a common denominator for fractions, you need to find the smallest multiple that both denominators can evenly divide into. In this case, the denominators are 8 and 4.
The multiples of 8 are: 8, 16, 24, 32, 40, ...
The multiples of 4 are: 4, 8, 12, 16, 20, ...
The first multiple that both denominators share is 8. Therefore, the common denominator for 2/8 and 3/4 in simplest form is 8.
Final answer:
The simplest common denominator for 2/8 and 3/4 is 4, since 2/8 simplifies to 1/4, and both fractions have 4 as a denominator.
Explanation:
Finding a common denominator for fractions is an essential skill in mathematics. We need this for adding, subtracting, or comparing fractions. To find a common denominator for 2/8 and 3/4, we look for the least common multiple (LCM) of the denominators.
Firstly, we simplify the fraction 2/8, which can be reduced to 1/4 because 2 divided by 2 is 1, and 8 divided by 2 is 4. Hence, we now have 1/4 and 3/4.
Since both denominators are now the number 4, which is the same, we can conclude that the simplest common denominator for 2/8 and 3/4 is 4.
In summary, multiplying and dividing by common factors helps us to simplify fractions and find common denominators efficiently. This principle is fundamental in fraction operations and is a useful skill in various mathematical contexts.
factor as the product of two binomials x^2-3x+2
On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.
The expression representing the weight carried by x hikers is the weight carried by one hiker multiplied by x. Due to a lack of specific weight information for one hiker, the general expression can be 'wx' where w is the weight per hiker.
To create an expression that represents the weight carried by x hikers, we need to know the weight each hiker carries individually. However, the necessary information to calculate that weight is not provided in the details of the question. If we had this information, the expression would be simply the weight carried by one hiker multiplied by x, where x is the number of hikers. For example, if one hiker carries 5 pounds, the expression for x hikers would be 5x pounds.
Interpreting the expression '5x' would mean that the total weight carried by the group of hikers is 5 pounds multiplied by the number of hikers. If there were, for example, 3 hikers, they would be carrying a total of 15 pounds together.
This general approach can be applied to any number representing the weight one hiker carries: if each hiker carries 'w' pounds, the expression for x hikers would be wx.
Translate the word phrase into a variable expression:
The difference of twice a number and 3.
*Note, there are no provided answers. What you write is the real answer.*
Harry's fitness trainer recommends that Harry drink 8 fluid ounces of water 8 times a day.Harry has a water bottle that's holds 1 1/4 pints of water then filled. Today, he has filled the water bottle three times and drank all of the water each time . Harry claims that he drank the total amount of water recommended by his fitness trainer. Explain why Harry's claim is not true?
A youth soccer league recently held registration. The number of players was divided by 12 to 13 teams. How many players registered
teo worked for 42.5 h at $70.75 per hour. how much did he earn? show the process
The total earning for Teo is $3006.88 if teo worked for 42.5 h at $70.75 per hour, the answer is 3006.88.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Teo worked for 42.5 h at $70.75 per hour.
Let x be the total earnings.
The value of x can be found as follows:
x = 42.5(70.75)
x = 3006.875
Or
x = 3006.88
Thus, the total earning for Teo is $3006.88 if teo worked for 42.5 h at $70.75 per hour, the answer is 3006.88.
Learn more about the linear equation here:
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What are multiples of the factors of 15
The length of the hypotenuse, line segment GH, in triangle GJH measures 6 cm. Line segment JH measures 2 cm.
the other line segment would measure"
6^2 = 2^2 + x^2
36 = 4 + x^2
32 = x^2
x = sqrt(32)
x =4sqrt(2) or 5.6568 ( round decimal as needed)
How to cross cancel fractions for example 3/5 •15/18
Which of the following expressions could be used to estimate the difference between -12.34 and -4.8?
-12 - 5
-12 + 5
-12 - 4
-12 + 4
Answer:
-12-(-5)
=-12+5
The ans is -12+5
Step-by-step explanation:
Miss Jones has 18 boys and 27 girls in choir. She wants them to stand in equal rows. Only boys or girls will be in each row ( meaning no mixed rows). What is the greatest number of students that can stand in each row
Overnight the temperature dropped 1.3 degrees every hour how many hours did it take the temperature to drop 7.8 degrees
To calculate how long it took for the temperature to drop 7.8 degrees at a rate of 1.3 degrees per hour, divide 7.8 by 1.3, which equals 6 hours.
Explanation:This problem can be solved using simple division. The question tells us that the temperature dropped 1.3 degrees every hour and we want to know how long it took for the temperature to drop 7.8 degrees. So, divide the total drop in temperature (7.8 degrees) by the rate of temperature drop (1.3 degrees per hour).
7.8 / 1.3 = 6
So, if the temperature dropped 1.3 degrees every hour, it would take 6 hours for the temperature to drop 7.8 degrees.
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solving Two-Step Equations solve & show ur work 6a-11=13
how many one thirds are in seven halves?
Which statement about the ordered pairs (3,-8) and (4,4) is true for the equation 3x-y/4=11
What is the product of 3/4x1/3x2/5
Final answer:
To find the product of 3/4, 1/3, and 2/5, multiply the numerators to get 6 and the denominators to get 60, resulting in 6/60. This simplifies to 1/10.
Explanation:
The question asks us to find the product of the three fractions: 3/4, 1/3, and 2/5. To calculate this, we multiply the numerators together and then the denominators together:
Numerators: 3 times 1 times 2 = 6
Denominators: 4 times 3 times 5 = 60
Therefore, the product of 3/4, 1/3, and 2/5 is:
6/60, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives us 1/10.
David was given two coins. One coin is twice the value of the other. Which statement is not true
David was given $0.75.
David was given $0.26.
One coin is smaller in size than the other
David was given $0.15.
Final answer:
The statement 'David was given $0.26' is not true because U.S. currency does not include the necessary coins where one coin is twice the value of the other to make up $0.26.
Explanation:
David was given two coins, where one coin is worth twice the value of the other. We need to identify which statement is not true among the given options regarding the value of the coins David was given. Let's analyze each statement:
Only the statement about being given $0.26 cannot be true, because U.S. currency does not include the necessary coins to satisfy the condition where one coin is twice the value of the other.
logan mader 4 stacks of wooden blocks, the first tackswas 6 blocks tall,the second stacks was 2 blocks taller than the first, the third stack was 2 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. how many blocks logan use in all? a)34 block, b)36 blocks c)38 blocks d)40blocks
an everyday meaning of corresponding is "matching". How can this help you find the corresponding parts of two triangles?
Which number is bigger 2/3, 66%
1/4x+3/4y=1 please solve (linear equation)
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
Using the formula y = x ÷ 2, the price for 6 ounces of cheese is calculated to be $3, following the linear price-quantity relationship given.
To find the price of 6 ounces of cheese, we can use the formula y = x ÷ 2.
Plugging in x = 6 ounces into the formula, we get:
y = 6 ÷ 2 = 3.
So the price y for 6 ounces of cheese is $3.
This is consistent with the given information that also indicates a linear relationship between the amount of cheese and its price (e.g., 2 ounces for $1 and 14 ounces for $7).
The probable question may be:
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
Amount of cheese x is 2 ounces the price y is 1 $.
Amount of cheese x is 6 ounces the price y is _____ $.
Amount of cheese x is 7 ounces the price y is 3.5 $.
Amount of cheese x is 14 ounces the price y is 7 $.