Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer in the box.
If Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
Given:
Number of pages Shaun read in 3/4 h = 60 pages
Thus, to find the unit rate that represents number of pages to be read by Shaun in 1 hour,
let x = number of pages read in 1 hour.
The following proportion would be created:
60 pages = 3/4 h
x pages = 1 h
Cross multiply[tex]\frac{3}{4} \times x = 1 \times 60\\\\\frac{3x}{4} = 60[/tex]
Multiply both sides by 4[tex]3x = 60 \times 4\\\\3x = 240\\\\[/tex]
Divide both sides by 3x = 80
Therefore, if Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
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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.
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.
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.
3/7 - 10/7 Write fractions in simplest form
please help to solve the equations!
1) 3(k+5)=-2(3k-6)
2)1/2r+4=3/4r-3/2
3)2a-9=2a+5
4)8m+2+4m=2(6m+1)
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
1/4x+3/4y=1 please solve (linear equation)
A gym holds one 60-minute exercise class on Saturdays and several 45-minute classes during the week. Last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of weekday classes.
please help , I have no idea of how to do this
Find the 12th term of this sequence: f(n)=5/n
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:
what is the perimetee of a square with the area of 121
3.4 in word and expanded form
China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.322 x 10-9 C) 1.322 x 10−8 Eliminate D) 13.22 x 108
how do I solve this problem −24−18p=38p?
To solve the equation
-24 - 18p = 38p, add 18p to both sides to combine like terms, then divide by 56 to isolate p, resulting in p = -3/7.
To solve the algebraic equation
-24 - 18p = 38p, we need to isolate the variable p on one side of the equation. Here's a step-by-step solution:
Combine like terms by getting all the terms containing p on one side of the equation. To do this, add 18p to both sides:
-24 - 18p + 18p = 38p + 18p
-24 = 56p
Now divide both sides by 56 to solve for p:
-24 / 56 = 56p / 56
-3/7 = p
The solution to the equation is p = -3/7.
A youth soccer league recently held registration. The number of players was divided by 12 to 13 teams. How many players registered
Write the value of the digit of 281'480'100
How are ratios, rates, and unit rates used to solve problems?
What is the answer to a and b please and thank you
Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn. He then packaged it in bags that each contained 0.27 pounds. How many bags could he fill?
Answer:
Number of bags Arturo can fill = 16
Step-by-step explanation:
Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn
Total pounds of mix = 1.24 + 0.78 + 0.3 + 2 = 4.32 pounds
He then packaged it in bags that each contained 0.27 pounds.
Capacity of each bag = 0.27 pounds
[tex]\texttt{Number of bags he can fill =}\frac{\texttt{Total pounds of mix}}{\texttt{Capacity of each bag}}\\\\\texttt{Number of bags he can fill =}\frac{4.32}{0.27}\\\\\texttt{Number of bags he can fill =}16[/tex]
Number of bags Arturo can fill = 16
if the length and width of a rectangle quadruple what happens to the area
The area of the rectangle becomes 16 times the previous one.
Given that,
The length and width of a rectangle quadruple what happens to the area is to be determined.
the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
What is surface area?Surface area is defined as the area of the surface that is uncovered.
Here,
The length(L) = 4 L
The width (W) = 4W
area of the rectangle = length * width = LW
The new area of the rectangle = 4L * 4W
= 16 LW
= 16 * area of the rectangle.
Thus, the area of the rectangle becomes 16 times the previous one.
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Who ever helps will get 15 points and a thanks what are some ways you could break apart 7✖️9 using distributive property Tks and u will win your reward
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 $.
13 tenths+8 tenths+32 hundredths
The value of 13 tenths + 8 tenths + 32 hundredths is 2.42.
Here's how we can break it down:
Convert tenths and hundredths to decimals:
13 tenths = 13/10 = 1.3
8 tenths = 8/10 = 0.8
32 hundredths = 32/100 = 0.32
Add the decimal values:
1.3 + 0.8 + 0.32 = 2.42
Therefore, 13 tenths + 8 tenths + 32 hundredths equals 2.42.
Complete question:
Solve this: 13 tenths+8 tenths+32 hundredths
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator. Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
Find the slope of the line passing through the points (-2, -3) and (-2, 5).
the answer is undifined
Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3).
The rate of change is −1/3, and the y -intercept is 7 1/3
The rate of change is –3, and the y -intercept is 18.
The rate of change is 3, and the y -intercept is –6.
The rate of change is 1/3, and the y -intercept is 4 2/3
Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of
12
2
5
% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
please help
Twelve more than three times a number equals two times the number. What is the number?