The print size of the painting is 3 ft long.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given that, a print of a famous painting is 1/3 the size of the original, the original is 9 feet long, we need to find the length of the print.
Let the print size of the painting be x ft long,
Since, the scale factor is 1/3
Therefore,
1/3 = 9/x
x = 9/3
x = 3
Hence, the print size of the painting is 3 ft long.
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1
Consider AB. You complete the following steps.
Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.
Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.
Step 3: Draw a line through the two points of intersection of the arcs.
Which statement(s) are true about the two points of intersection in Step 3?
They are the same distance from AB.
The line between them is parallel to AB.
They are different distances from A.
0
The line between them does not pass through AB.
The correct statement true about the two points of intersection in Step 3 is,
⇒ They are the same distance from AB.
What is Line segment?A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
Steps are,
Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.
Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.
Step 3: Draw a line through the two points of intersection of the arcs.
Now, Cleary this method is used to divide a line in two equal parts.
Hence, The correct statement true about the two points of intersection in Step 3 is,
⇒ They are the same distance from AB.
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Round each mixed number to the nearest whole number. Then, estimate the product.8 9/10x1 4/5
Answer:
9 × 2 = 18
Step-by-step explanation:
8 9/10 is closer to 9 than it is to 8. So you round 8 9/10 up to 9.
1 4/5 is closer to 2 than to 1. So round it up to 2.
Use the rounded numbers to estimate the product. 9 × 2 is 18
The estimate is 18.
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
I think there is only one solution which is (0,2), I believe. However, I'm not sure if that is correct. How would I correctly answer this question?
The solution to the two equations will be (0,2).
What is a system of equations?A finite set of equations for which we searched for common solutions is referred to in mathematics as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
Given that there are two equations:-
g(x) = 3x + 2
f(x) = | x - 1 | + 1
The solution of the equations can be calculated as:-
- ( x - 1 ) + 1 = 3x + 2
-x + 1 + 1 = 3x + 2
4x = 2 - 2
x = 0
The value of the dependent variable is:-
y = 3x + 2
y = 0 + 2
y = 2
Hence, the solution of the system of equations will be ( 0, 2 ).
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Olivia's family took a road trip to the Grand Canyon. Olivia fell asleep after they had travelled 243 miles. If the total length of the trip was 900 miles, what percentage of the total trip had they travelled when Olivia fell asleep?
The percentage of the total trip had they travelled when Olivia fell asleep is 73%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Olivia's family took a road trip to the Grand Canyon.
Olivia fell asleep after they had travelled 243 miles.
If the total length of the trip was 900 miles,
then they had travelled when Olivia fell asleep,
= (900 - 243) x 100 /900
= 73%
Therefore, the percentage is 73%.
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PLEEASE HELPP
The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder. Use the tools provided to complete the formula for the volume of a cylinder when solved for the radius, r.
r=?
Answer:
r = [tex]\sqrt{\frac{V}{h\pi } }[/tex]
Step-by-step explanation:
V = πr²h ( isolate r² by dividing both sides by hπ )
[tex]\frac{V}{h\pi }[/tex] = r² ( take square root of both sides )
[tex]\sqrt{\frac{V}{h\pi } }[/tex] = r
Helga buys a packet of 68 chocolates and decides to
share them with herself and the other twelve people on her soccer team.
One of Helga's team mates, Sasha, says "63 ÷ 13 = 4.846, therefore we
can have 5 chocolates each".
Create your own question where people might make the mistake of rounding to the nearest whole number if they didn't think about the context.
Answer:
This dosen't make anysense to me
i am trying really hard
Step-by-step explanation:
lake trail is 4 3/5 miles long. outlook trail is 5 5/6 miles long. pinewoodd trail is 1 3/10 miles longer, which trail is longer, pinewoods trail or outlook trail?
The longer trail is outlook trail.
What are Mixed Fractions?Mixed fractions are type of fractions which consist of a whole number part and a fractional part.
Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.
The lengths of these trails are given in the mixed number form.
First, converting it into improper fraction,
Length of lake trail = 4 3/5 mile = (4 × 5 + 3) / 5 = 23/5 miles
Length of outlook trail = 5 5/6 mile = (5 × 6 + 5) / 6 = 35/6 miles
Length of pinewood trail = 1 3/10 mile = (1 × 10 + 3) / 10 = 13/10 miles
35/6 > 13/10
Outlook trail is longer.
Hence the outlook trail is the longer trail.
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kala's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs kala $4.65 per pound, and type b coffee costs $5.85 per pound. this month, kala made 134 pounds of the blend, for a total cost of $717.90. how many pounds of type a coffee did she use?
Kala used 55 pounds of type A coffee and 79 pounds of type B coffee in 134 pounds of the blend for a total cost of $717.90.
Let number of pounds in coffee type A be taken as A
Let number of pounds in coffee type B be taken as B
The total number of pounds used in the blend = 134 pounds.
Therefore, A + B = 134
A = 134 – B …….. (i)
1 pound of coffee type A costs = $4.65
Therefore, A pounds of type A coffee will cost = $4.65A
1 pound of coffee type B costs = $5.85
Therefore, B pounds of type B coffee will cost = $5.85B
Total cost of both blends = $717.90
Therefore, 4.65A + 5.85B = 717.90…….(ii)
Using substitution method, substituting equation (i) in equation (ii), we get,
4.65 * (134 – B) + 5.85B = 717.90
623.1 – 4.65B + 5.85B = 717.90
623.1 + 1.2B = 717.90
1.2B = 94.8
B = 79 pounds
Therefore, A = 134 – 79 = 55 pounds
Hence, the number of pounds of coffee type A was found to be 55 pounds
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wall posters are usually sold curled up in cylindrical cardboard tubes. if the length of the tube is 84.5cm and the diameter of the tube is 2.40 cm, what is the area of the poster in cm2?
If the length of the tube is 84.5cm and the diameter of the tube is 2.40 cm, then area of poster is 636.7 cm² ~ 637 cm²
Given that ;
Length of the cylinder = 84.5 cm
Diameter of the cylinder = 2.40 cm
Then the radius is 1.20 cm
When the poster is uncurled it is in rectangle shape so, length of the poster is 84.5cm.
When poster is curled in cylinder, circumference of circle is breadth of poster = 2πr = 2(22/7)1.2 = 7.53 cm
So the area of poster is length × breadth
Area = 84.5cm × 7.53cm
Area = 636.7 cm²
Hence the area of poster is 636.7 cm² ~ 637 cm²
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a computer program is tested by 5 independent tests. if there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5, respectively. suppose that the program contains an error. what is the probability that it will be found (a) by at least one test? (b) by at least two tests? (c) by all five tests
The probability that it will be found by at least one test, at least two tests, or five tests is 0.8488, 1.8488, and 4.8488.
Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.
Probabilities of no errors discovered:
If there is an error, the tests will discover it with probabilities of 0.1, 0.2, 0.3, 0.4, and 0.5. So, if not discover the errors, the probabilities are 0.9, 0.8, 0.7, 0.6, 0.5.
The probability of none discovering the error is:
P=0.1*0.2*0.3*0.4*0.5=0.1512
(a) by at least one test
None: 0.1512
At least one: 1 - 0.1512 = 0.8488.
by at least two tests:
At least two:
2-0.1512=1.8488
by at least five tests:
At least five:
5-0.1512=4.8488
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on the sldt, why is a standard score of 89 considered below average if the mean is 100 with a standard deviation of 15?
A standard score of 89 is considered below average because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean.
A standard score of 89 is considered below average because it falls below the mean score of 100. This is because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean. The standard deviation is a measure of the spread of the data, where higher values indicate more spread out data. In this case, the mean score of 100 has a standard deviation of 15, which means that any score lower than 85 (100 - 15) is considered below average. A score of 89 is 11 points below the mean, which is a deviation of more than 0.7 standard deviations. This indicates that it is lower than the average score, and therefore considered below average.
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Match the terms to their definition. 1. numerator a number with an integer part and a fraction part 2. mixed number a fraction with a whole number for the numerator and a whole number other than zero for the denominator 3. denominator the number above the fraction line; tells how many parts of the whole exist 4. common fraction a fraction in which the numerator is larger than the denominator 5. like denominators the number under the fraction line; tells how many equal parts the whole was broken into 6. improper fraction
Answer:
numerator - the number above the fraction line; tells how many parts of the whole exist
mixed number - a number with an integer part and a fraction part
denominator - the number under the fraction line; tells how many equal parts the whole was broken into
common fraction - a fraction with a whole number for the numerator and a whole number other than zero for the denominator
like denominators - two fractions with the same denominator
improper fraction - a fraction in which the numerator is larger than the denominator
complete the equation describing how x and y are related
The equation represents the relationship between x and y is y = 5x + 3
How to determine the equationFrom the question, we have the following parameters that can be used in our computation:
The table of values
On the table of values, we can see that
y is 3 more than five times x
When represented as an equation, we have
y = 5x + 3
Hence, the equation is y = 5x + 3
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Triangle ABC is shown. A 40 m B 10 m 26 m What is the length of AC, in meters?
Answer:
42 m AC
Step-by-step explanation:
\sqrt{26^{2}-10^{2}}= 24 DB
\sqrt{40^{2}-24^{2}}= 32 AB
32 + 10 = 42 AC
6. what is the cumulative incidence of the disease from 1998 through the end of 2004? (hint: the denominator is the number of people at risk at the beginning of the study.)
Answer:
Here you have
Step-by-step explanation:
In the US:
The cumulative incidence was 1.2% by the age of 24 years, 3% by 75 years, and 4.4% by 85 years
In Sweden:
The cumulative incidence was 2.2% by the age of 15 years, 4.5% by 50 years, and 7.2% by 75 years
Which of the following is the vertex of y=-3x^2-18x-24
Answer:
vertex is at (-3, 3)
No choices provided; can't help you there
Step-by-step explanation:
General equation of a parabola isy = ax² + bx + c
If a < 0 (negative) then it is a downward facing parabola and the vertex is a maximum
If a > 0 then it is an upward facing parabola and the vertex is a minimum
Given parabola is
y = -3x² - 18x -24
and comparing to the general equation we get a = -3, b = -18 and c = -24
So the vertex is a maximum
The x-coordinate of the vertex is given by
[tex]x_v =- \dfrac{b}{2a}\\\\[/tex]
Plugging in values of a = -3 and b = -18 we get
[tex]x_v=-\dfrac{\left(-18\right)}{2\left(-3\right)}\\\\\rightarrow -\dfrac{-18}{-6} = -(3) = -3\\\\[/tex]
To find [tex]y_v[/tex], the y-coordinate of the vertex, plug this value of [tex]x_v[/tex] into the parabola equation and solve for y
[tex]y_v=-3\left(-3\right)^2-18\left(-3\right)-24\\\\y_v = -3(9) +54 -24\\\\y_v = -27 + 54 - 24\\\\y_v = 3\\\\[/tex]
So the vertex is at (-3, 3)
No choices provided so unable to help in that regard
barbara opened a bag of candies and found that there were 8 red, 6 orange, 4 green, 5 yellow and 3 purple candies in the bag. if barbara pulls out two of the candies at random, what is the probability that the two candies are different colors? express your answer as a common fraction.\
There is a 0.8677 percent chance that the two candies are different colors.
Divide the total number of outcomes by the entire number of possible outcomes to determine the likelihood that an event will occur. There are differences between probability and odds. Chances are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. The likelihood that the coin will land with the heads side up is computed when it is tossed into the air. You are undoubtedly already familiar with this practical application of probability. Before a big trip, we always check the weather prediction.
The probability of two the same
so,
Two red = 8/26 * 7/25
Two orange [tex]=(6/26 * 5/25)[/tex]
Add them up
[tex](8/26 * 7/25)+(6/26 * 5/25)\\=56/650+30/650\\=86/650\\=0.1323[/tex]
Subtract that from 1
[tex]1-0.1323\\=0.8677[/tex]
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a quick quiz consists of 5 5 multiple choice problems, each of which has 6 6 answers, only one of which is correct. if you make random guesses on all 5 5 problems, (a) what is the probability that all 5 5 of your answers are incorrect? answer: (b) what is the probability that all 5 5 of your answers are correct? answer
(a) The probability of getting all 5 answers incorrect is [tex](5/6)^{5}[/tex] = 0.327.
(b) The probability of getting all 5 answers correct is [tex](1/6)^{5}[/tex] = 0.00013.
Probability: Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It is a value between 0 and 1, with 0 meaning that an event is impossible and 1 meaning that an event is certain to happen. Probabilities can also be expressed as percentages, with 0% meaning impossible and 100% meaning certain. Probability is used in many fields, including statistics, finance, and game theory, to make predictions and decisions based on uncertain information.
The quiz has 5 multiple choice questions with 6 options each, and only one of the options is correct.
(a) The probability of getting one answer incorrect is 5/6, so the probability of getting all 5 answers incorrect is [tex](5/6)^{5}[/tex], which is equal to 0.327.
(b) The probability of getting one answer correct is 1/6, so the probability of getting all 5 answers correct is [tex](1/6)^{5}[/tex], which is equal to 0.00013.
So, The probability of getting all 5 answers incorrect is 0.327 and the probability of getting all 5 answers correct is 0.00013.
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what is the number of distinct proper subsets of a set with n elements is
A number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subsets of the set for every n element in the set.
What are sets?A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets.
A set is a mathematical model for a collection of various things.
A set with a single element is a singleton, while a set with no elements is an empty set.
A set can either be infinite or have a finite number of elements.
If all of the elements in two sets are identical, then the sets are equal.
The number of subsets of a set is 2n if the set has 'n' items.
A number of Appropriate Subsets of the Set: If a set has 'n' items, then 2n - 1 is the number of appropriate subsets of the set.
Therefore, a number of Appropriate Subsets of the Set: There are 2n - 1 appropriate subset of the set for every n element in the set.
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Correct question:
The number of distinct proper subsets of a set with n elements is ____.
the number $r$ can be expressed as a four-place decimal $0.abcd$, where $a$, $b$, $c$, and $d$ represent digits, any of which could be zero. it is desired to approximate $r$ by a fraction whose numerator is 1 or 2 and whose denominator is an integer. the closest such fraction to $r$ is $\frac{2}{7}$. what is the number of possible values of $r$?
The number of possible values regarding the given fraction situation of $r$ is 8.
To find the possible values of $r$ that can be approximated by [tex]$\frac{2}{7}$[/tex], we need to determine the range of values for $r$ that is closest to [tex]\frac{2}{7}$[/tex]. This can be done by finding the two closest fractions with numerator 1 or 2 to [tex]$\frac{2}{7}$[/tex] and determining the range of values for $r$ between those two fractions. The two closest fractions are [tex]$\frac{1}{3}[/tex] and[tex]\frac{2}{5}[/tex].
If $0.abcd$ is between[tex]\frac{1}{3}[/tex] and [tex]$\frac{2}{5}[/tex], it will be closest to [tex]$\frac{2}{7}$[/tex]. The decimal representation of [tex]\frac{1}{3}$[/tex] is 0.3333..., and the decimal representation of [tex]$\frac{2}{5}$[/tex] is 0.4. Thus, the possible values of $r$ that can be approximated by [tex]\frac{2}{7}$[/tex] are [tex]$0.3333... \leq r \leq 0.4$[/tex] , which have 8 possible values, including both endpoints.
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Karla will select 2 different side dishes from the following list at a restaurant.
•French fries
•Salad
•Onion rings
•Beans
Which list shows all the possible outcomes of 2 different side dishes from this list?
1.6 multiplied by
0.125
The numeric value of 1.6 multiplied by 0.125 is 0.2.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given we need to calculate the value of 1.6 multiplied by 0.125
Since Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.
Thus,
=> 1.6 multiplied by 0.125
=> 1.6 * 0.125
=> 0.2
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Solve for x and illustrate your Solution on a number line a) x²-3x - 10 ≤0
Answer:
x>2
Step-by-step explanation:
what to do for 20 points if not wrong
Answer:
B can make tons more
Step-by-step explanation:
1/9 123456789 (+9)
multiples of 11 11 22 33 44 55 66 77 88 99 (+9)
9+9=18
A=18
B=
213
438
SO MANY MORE
B=more
i need someone to talk to plssssssssssssss
Answer:
oh hi buddy if your lonely I'm always here for you
I need answer ASAP the question is in the picture
Answer:
c
Step-by-step explanation:
[tex]\text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}[/tex]
==============================================
Reason:
The formula you can use is
[tex](a+b)^2 = a^2+2ab+b^2[/tex]
This is the perfect square trinomial formula.
In this case,
a = xb = 1/8The square of each gets us
a^2 = x^2b^2 = (1/8)^2 = 1/64Those form the outer terms, aka 1st and 3rd terms.
The 2ab term in the middle would be 2*x*(1/8) = (1/4)x
That leads us to be able to say [tex]\left(\text{x}+\frac{1}{8}\right)^2 = \text{x}^2 + \frac{1}{4}\text{x} + \frac{1}{64}[/tex]
You can use the FOIL rule or the box method as two ways to verify this answer. Also a graphing calculator can be used.
darin wrote 1 2 5 as the sum of three fractions. what three fractions might darin have used? a. 1 5 2 5 2 5 b. 3 5 3 5 3 5 c. 1 5 2 5 3 5 d. 1 5 4 5 2 5
Darin wrote 1 2/5 as a sum of three fractions. Three fractions 1/5, 4/5, 2/5 Darin have used. So the option d is correct.
Darin wrote 1 2/5 as a sum of three fractions.
We firstly solve the mixed fraction in the form of improper fraction.
We can write in improper fraction my multiplying 1 and 5, then add 2 in the multiplication of 1 and .
Now the fraction;
1 2/5 = 7/5
Now we solve each option to determine the three fraction.
a. 1/5, 2/5, 2/5
= 1/5 + 2/5 + 2/5
= (1 + 2 + 2)/5
= 5/5
= 1
It can't produce the value 7/5. So this option is not correct.
b. 3/5, 3/5, 3/5
= 3/5 + 3/5 + 3/5
= (3 + 3 + 3)/5
= 9/5
It can't produce the value 7/5. So this option is not correct.
c. 1/5, 2/5, 3/5
= 1/5 + 2/5 + 3/5
= (1 + 2 + 3)/5
= 6/5
It can't produce the value 7/5. So this option is not correct.
d. 1/5, 4/5, 2/5
= 1/5 + 4/5 + 2/5
= (1 + 4 + 2)/5
= 7/5
It produces the value 7/5. So this option is correct.
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The complete question is:
Darin wrote 1 2/5 as a sum of three fractions. What fractions might Darin have used?
a. 1/5, 2/5, 2/5
b. 3/5, 3/5, 3/5
c. 1/5, 2/5, 3/5
d. 1/5, 4/5, 2/5
Triangle ABC with D on AC and E on AB
DE is a straight line
AD= 27m, AE=39m, DE=23m, and BC=65m
Calculate the length of CD
Therefore , the solution of the given problem of triangle comes out to be Replace with CD-49.
What does a triangle actually mean?Because triangles have four or more sides, they are considered polygons. Its design is straightforward and geometric. The ABC letters come together to form a triangle with a square angle. Euclidean geometry generates a single rectangle or square when the sides do not coincide. Because they consist of three sides and three corners, triangles are polygons. The corners of a triangle are formed by the junction of its three sides.
Here,
Triangles that are similar may or may not be congruent.
The CD is 49 units long.
The following equivalent ratios can be derived from the triangles that are supplied.
AC: CB = AD: DE
Where:
AC= AD + CD
We thus have:
DE = AD + DC
CB
Replace known values
=>27:23-27+ DC: 65
Describe as a fraction
=> 27+DC
65 x 65 multiplied by both sides yields 27+ DC.
Take 27 away from both sides.
2x65-27 - DC
DC 76-27 - DC 49-DC 27x65-27 = DC 1755-27=DC
Replace with: CD-49
Therefore , the solution of the given problem of triangle comes out to be Replace with CD-49.
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two numbers are independently selected from the set of positive integers less than or equal to $5$. what is the probability that the sum of the two numbers is greater than their product? express your answer as a common fraction.
The probability of the sum of two integers is greater than the product is equal to 2 / 5.
Let 'A' be the set of positive integers less than or equal to 5.
A = { 1, 2, 3, 4, 5}
Sum of two numbers is greater than the product of the numbers.
1 × 1 = 1 and 1 + 1 = 2
1 × 2 = 2 and 1 + 2 = 3
1 × 3 = 3 and 1 + 3 = 4
1 × 4 = 4 and 1 + 4 = 5
1 × 5 = 5 and 1 + 5 = 6
2 × 1 = 2 and 2 + 1 = 3
3 × 1 = 3 and 3 + 1 = 4
4 × 1 = 4 and 4 + 1 = 5
5 × 1 = 5 and 5 + 1 = 6
2 × 2 = 4 and 2 + 2 = 4
Total possibilities = 5 × 5
= 25
Favourable outcomes = 10
Total number of outcomes = 25
Probability of sum of two numbers greater than the product
= 10 / 25
= 2 / 5
Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.
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A spool of ribbon is 24 yards long. Jamal uses 3/5 of the total ribbon.
HURRY PLEASE!!
The number of yards of ribbon Jamal used is 14.4 yards.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, a spool of ribbon is 24 yards long.
Jamal uses 3/5 of the total ribbon.
So, number of yards = 3/5 ×24
= 3×4.8
= 14.4 yards
Therefore, the number of yards of ribbon Jamal used is 14.4 yards.
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