Using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer: yes we can write nine proper and nine improper fraction with help of these given numbers.
Explanation: Since, a proper fraction is a fraction which has the value less than 1, that is, the value of numerator is less than the value of denominator.
For example p/q is a proper fraction if p<q.
On the other hand, In Improper fraction numerator is greater than denominator.
Since, given numbers are 3,5 and 8
So, the possible proper fractions= [tex]\frac{3}{5},\frac{3}{8} \frac{5}{8},\frac{3}{5.8},\frac{5}{3.8}, \frac{8}{5.3},\frac{3}{5+8},\frac{5}{3+8}, \frac{5-3}{8}[/tex]⇒[tex]\frac{3}{5},\frac{3}{8} \frac{5}{8},\frac{3}{40},\frac{5}{24}, \frac{8}{15},\frac{3}{13},\frac{5}{11}, \frac{1}{4}[/tex]
Similarly, the possible improper fraction= [tex]\frac{5}{3},\frac{8}{3} \frac{8}{5},\frac{40}{3},\frac{24}{5}, \frac{15}{8},\frac{13}{3},\frac{11}{5}, \frac{19}{3}[/tex] ( Here, [tex]8-\frac{5}{3}=\frac{19}{3}[/tex] )
Sarah has $20 saved. If she will save her allowance for the next 3 weeks, and she gets $10 per week for her allowance. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?Which of the following sets of equations represents this problem?
What does y equal 1/3z+y=4
A line has a slope of –3 and a y-intercept of 3. mc008-1.jpg What is the x-intercept of the line?
–9
–1
1
9
Answer:
x-intercept: 1
C is correct
Step-by-step explanation:
A line has a slope of –3 and a y-intercept of 3
Slope (m) = -3
y-intercept: (0,3)
Using slope and y-intercept we will make the equation of line.
[tex]y-y_1=m(x-x_1)[/tex]
Equation of line:
[tex]y-3=-3(x-0)[/tex]
[tex]y=-3x+3[/tex]
Now we will find x-intercept
For x-intercept put y=0
[tex]0=-3x+3[/tex]
[tex]x=1[/tex]
x-intercept: (1,0)
Hence, The x-intercept of the equation is 1
Answer:
C should be your answer
Step-by-step explanation:
PLEASE HELP A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, and height 4 cm. If a cross section of the paperweight is cut perpendicular to the base, which shape describes the cross section? Parallelogram Triangle Square Hexagon
Answer: Square
Step-by-step explanation:
Since, the dimension of the given rectangular prism is 10 × 4 × 4
If a cross section of the paperweight is cut perpendicular to the base,
Then the dimension of the resultant quadrilateral is, 4 × 4
That is, the length and breadth is equal,
And the angles are of 90° each,
Which is the condition of a square,
Therefore, the resultant shape will be square.
⇒ Third Option is correct.
The cross section of the paperweight when cut perpendicularly to the base is a square.
Given the following data:
Length of rectangular prism = 10 cm.Width of rectangular prism = 4 cm.Height of rectangular prism = 4 cm.How to determine the resultant shape.We know that the shape of this paperweight is a right rectangular prism. Also, the base area of the paperweight is cut perpendicularly.
This ultimately implies that, the paperweight's length would be removed while its height and width remains, which corresponds to the dimensions (length and width) of a four-shaped object or quadrilateral with an angle of 90 degrees each.
In conclusion, the cross section of the paperweight when cut perpendicularly to the base is a square.
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Three is six less than one-third the number p
Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already downloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.
The number of songs that can be downloaded is no more than 3.
i.e
Number of songs ≤ 3
What is inequality?It is a statement of an ordered relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
The number of songs that can be downloaded per week = S
S = No more than 11 songs.
This can be written as:
S ≤ 11
The number of songs already downloaded = 8
The number of songs that can be downloaded per week is:
S ≤ 11 - 8
S ≤ 3
Thus,
The number of songs that can be downloaded is no more than 3.
i.e
Number of songs ≤ 3
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Find the perimeter of the rectrangle with vertices at R(-2, 3), S(4, 3), T(4, -1) and U(-2, -1).
. The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square feet, find
the dimensions of the rectangle.
The dimensions of the rectangle are approximately 8.93 feet for the length and 10.8 feet for the width. This solution involves setting up and solving a quadratic equation based on the given conditions.
Explanation:The subject of this question is Mathematics and it requires algebraic reasoning to solve. Here's step-by-step how to find the dimensions of the rectangle:
Let the length be denoted by 'x' (in feet).According to the question, the width is 16 feet less than three times the length, which can be written algebraically as '3x - 16'.The area of a rectangle is calculated by length times width, so in this example we would multiply 'x' by '3x - 16', and set that equal to the total area of 35 square feet.This set-up results in the equation 'x(3x - 16) = 35' or '3x^2 - 16x - 35 = 0'.Solving this quadratic equation for 'x', we find that the length (x) is approximately 8.93 feet.Substituting this value back into the equation for width, we find that the width is approximately 10.8 feet.Learn more about Solving Quadratic Equations here:https://brainly.com/question/30398551
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What is the average of 1,2,4,and 9
Each Child Receives a meal which consists of a hamburger, a bag of pretzels, and a drink for the children ages 6-10 and a hamburger , two bags of pretzels, and a drink for the children that are older than 10. It costs the club 80 cents for each hamburger, 35 cents for each bag of pretzels, and 60 cents for each drink. Calculate the cost to feed each age group
Translate into an algebraic expression:
Sam, Liz and Ann had s, l, and a candies correspondingly. If they shared all candies evenly among themselves, how many candies did each girl get?
The algebraic expression for how many candies each girl gets if Sam, Liz, and Ann, who initially had s, l, and a candies respectively, share all their candies evenly is (s + l + a) / 3.
Explanation:This question is referring to a problem in basic algebra. Here we have three individuals: Sam, Liz, and Ann. They each start with a certain number of candies, represented by the variables s, l, and a respectively. The question is asking how many candies each girl has if they all share their candies evenly.
To find this, you would first add up all the candies, which can be represented algebraically as (s + l + a). Since they share equally, you would divide the total number of candies by the number of girls which is three in this scenario. The algebraic expression to represent this would be (s + l + a) / 3. So, each girl gets (s + l + a) / 3 candies.
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More math help please!
What are 2 phrases for the expression 85-y
Which transformation of f(x)=3^x does h(x)=-3^x-7 represent?
Suppose that 5 customers arrive, and each orders a different appetizer to share from a choice of 12 appetizers. In how many ways can this be done?
The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers is 95,040.
Explanation:The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers can be calculated using permutations. In this case, the order in which the appetizers are chosen does matter, and repetition is not allowed since each customer must choose a different appetizer.
To calculate the number of ways, we can use the formula for permutations:
P(n, r) = n! / (n-r)!
Where n is the total number of items and r is the number of items to be chosen.
So, in this case, the number of ways to choose the appetizers is:
P(12, 5) = 12! / (12-5)! = 12! / 7!
Using a calculator simplifies to:
P(12, 5) = 95,040
Ruben sees 14 wheels on a total of 6 bicycles and tricycles. How many bicycles and tricycles are there?
Answer:I actually just wanted to say to the person who answered it I’m so sorry I meant to give you 5 stars but I messed it up and don’t know how to change it I’m so sorry!
Step-by-step explanation:
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk? Total minutes of talk time Monthly cost of cell phone 0 $9.95 10 $10.65 20 $11.35 30 $12.05 40 $12.75
Answer:
The correct statement regarding the average rate of change during the 40-minute time of talk is that the average rate of change of the monthly cost with respect to the talk time is $0.07 per minute.
Explanation:
To find the average rate of change during the 40-minute time of talk, we can calculate the average rate of change of the cost with respect to the number of minutes of talk time.
We can use the formula for average rate of change, which is:
[tex]\[ \text{Average rate of change} = \frac{\text{Change in cost}}{\text{Change in talk time}} \][/tex]
Given the following data:
- At 0 minutes of talk time, the monthly cost is $9.95.
- At 40 minutes of talk time, the monthly cost is $12.75.
Using the formula, we can calculate the average rate of change:
[tex]\[ \text{Change in cost} = 12.75 - 9.95 = 2.80 \][/tex]
[tex]\[ \text{Change in talk time} = 40 - 0 = 40 \][/tex]
[tex]\[ \text{Average rate of change} = \frac{2.80}{40} = 0.07 \][/tex]
solve for x:
mx + nx = p
how do i divide a double digit problem * please show a example thank you
the exact temperature of a glass of water in degrees Celsius
To find the exact temperature of a glass of water in degrees Celsius, a thermometer operating on the Celsius scale is used. The Celsius scale marks water's freezing point as 0 °C and it's boiling point as 100 °C with 100 equal intervals in-between these points. Note that the specific heat of water, the amount of heat needed to increase the temperature, is greater than many substances including glass.
Explanation:In order to determine the exact temperature of a glass of water in degrees Celsius, you will use a thermometer that operates on the Celsius scale. The freezing and boiling points of water are key reference points on this scale. When using the Celsius scale, the freezing point of water is defined as 0 °C and the boiling point as 100 °C. The space between these two temperatures is divided into 100 equal intervals, which we define as degrees. Likewise, the Fahrenheit scale has the freezing point of water at 32 °F and the boiling point at 212 °F, a 180-interval scope which is also divided into degrees. Consequently, one degree difference on the Celsius scale is equivalent to 1.8 degrees Fahrenheit difference. Furthermore, the SI unit of temperature is the kelvin (K), but also widely used is the degree Celsius (°C).
The specific heat of a substance, in this case water, also plays a role. The specific heat of water is noticeably higher than that of glass, meaning that more heat is required to raise the temperature of water than glass by an equal number of degrees. Exact values of specific heat for different substances, including water, often have to be looked up in tables because there is no straightforward way to calculate them.
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the length is 19.25 M the width is 14.75 M and the height is 10.25 M which is the best estimate of its surface area using 2lw + 2lh + 2 Wh
Which names are other ways to name ∠2? Select each correct answer. ∠H ∠G ∠KGH ∠HKG ∠K ∠GHK ∠HGK angle 2 with vertex h. one ray has point G on it. The other ray has point k on it.
Answer:
Angle GHK and Angle H
Step-by-step explanation:
None of the others are correct I took the test
Which number line represents all the values of x for the equation x^2=16?
Your mom has sent you to buy a new suit, and will let you get new shoes too if you keep it under $200. The suit you want to buy is $230. If you are getting 20% off the price, will you get the shoes?
how would you graph 3,4,5,6,7
kuta Bandar bothi olau da patha
Which number is greater 87 or 13.688? How do you know?
solve for x
4x - 3 / 3 = 7
I
Suppose v varies directly as g , and v = -36 when g = 4. Find v when g = 12.
How much chocolate will each person get if three people share half a pound of chocolate equally?