To write a percent as a fraction in lowest terms, we need to remember that a percent is a ratio that compares a number to 100.
40% can be written as the ratio [tex]\frac{40}{100}[/tex]. [tex]\frac{40}{100}[/tex] is not in lowest terms so we need to divide the numerator and the denominator by 20 which gives us [tex]\frac{2}{5}[/tex].
Therefore, 40% can be written as the fraction [tex]\frac{2}{5}[/tex].
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At a flower store, the price of a bunch of roses is $25 and the price of a bunch of carnations is $20. If one day it sold a total of 60 bunches of the two flowers and made $1375. How many bunches of roses and carnations did it sold? bunches of
They y intercept of a function f(x) is (0,b) what is the y intercept of f(x)=k
The function f(x)=k represents a horizontal line where 'k' is the y-intercept. This means the line crosses the y-axis at the point (0,k).
Explanation:The function f(x)=k represents a horizontal line across the y-axis at the value of 'k'. In this case, the y-intercept or 'b' would also be 'k', given that regardless of the x-value, the output will always be 'k'. The point of intersection with the y-axis is thus (0,k).
In general, for the linear equation y=mx+b, 'm'
represents the slope of the line and 'b' is the y-intercept where the line crosses the y-axis. In this case, 'm' would be zero as the slope of a horizontal line is 0, causing the line's equation to simplify to
y=k, or f(x)=k. This indicates that for every x, the y value remains constant at 'k' .
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What are the lengths of sides KN and NM of the kite
Answer: KN=15 and NM=20.
Step-by-step explanation: i got it right on edg2020
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.*
What is 485=? Tens +5units
How many sixteenth notes would be needed to have the same duration as 3 quarter notes? Represent this as a fraction.
How to cross cancel fractions for example 3/5 •15/18
Help with at least one of these ?
Someone help please!
2. Two angles are supplements if their sum is 180 degrees. The measure of one angle is seven-fifths the measure of its supplement. What is the measure of the smaller angle?
An electrician has 4.1 meters of wire how man 7/10 strips can he make
Calculate the kinetic energy of an 88-kg scooter moving at 18 m/s .
Answer:
kinetic energy of the scooter is 14256 joule.
Step-by-step explanation:
Since kinetic energy of an object is represented by the formula
Kinetic energy = [tex]\frac{1}{2}(\text{Mass})(\text{Velocity}^{2})[/tex]
Mass of the scooter = 88 kg
Velocity of the scooter = 18 meter per second.
Kinetic energy = [tex]\frac{1}{2}\times 88\times (18)^{2}[/tex]
= 44×(18)²
= 14256 Joule
Therefore, kinetic energy of the scooter is 14256 joule.
Which statement about the ordered pairs (3,-8) and (4,4) is true for the equation 3x-y/4=11
The quotient of x and 7 is equal to 13. Define variable and then write an expression to model the situation
Final answer:
The expression for the given situation "The quotient of x and 7 is equal to 13" is modeled by the linear equation x/7 = 13. By multiplying both sides by 7, we find that x equals 91.
Explanation:
The question "The quotient of x and 7 is equal to 13" can be modeled as an expression in the form of a linear equation. To define variables in this context, we let x represent the unknown number we're trying to find. The quotient of x and 7 means x divided by 7, and this is equal to 13. Therefore, we can write the linear equation as x/7 = 13.
To solve for x, we perform algebraic operations. We multiply both sides of the equation by 7 to get rid of the denominator. The expression becomes 7 * (x/7) = 13 * 7, which simplifies to x = 91.
Subtract.
−3 3/8 − 7/8
Enter your answer, in simplest form, in the box.
Tyler and Christina are playing a game in which each player either wins, lose, or draws (ties) at each turn. The winner of a turn is awarded 5 points, and the loser loses 5 points. If it is a draw, 0 points are awarded. For the first eight rounds. Tyler had the following results: lose, win, lose, win, win, lose, win, draw. What was Christina’s point total for the rounds?
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.
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0.003 is 1/10 of ____
0.4 is 10 times as much as _____
0.2 is 10 times as much as _____
0.2 is 1/10 of __________
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
What is another way to write the ratio 3:4?
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.
the sum of three consecutive even numbers is 66. what is the smallest of these numbers
In a single season, the New York Yankees sell an average of 42,362 tickets for each of their 81 home games. About how many tickets do they sell for an entire season of home games?
3,200,000
Further explanationWe will solve the problem of rounding to estimate the product.
Given:
In a single season, the New York Yankees sell an average of 42,362 tickets for each of their 81 home games.
Question:
About how many tickets do they sell for an entire season of home games?
The Process:
Let us round off the factors before multiplication.
42,362 = 40,000
81 = 80
Next we multiply 40,000 by 80.
[tex]\boxed{ \ 40,000 \times 80 = ? \ }[/tex]
[tex]\boxed{ \ = (4 \times 10,000) \times (8 \times 10) \ }[/tex]
[tex]\boxed{ \ = (4 \times 8) \times (10,000 \times 10) \ }[/tex]
[tex]\boxed{ \ = 32 \times 100,000 \ }[/tex]
[tex]\boxed{\boxed{ \ 3,200,000 \ }}[/tex]
Thus, the New York Yankees sell 3,200,000 tickets for an entire season of home games.
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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?
All of our employees speak at least 2 languages and many of them (45%) speak 3. We have even got few (8%) persons, that speak 4 languages.
What is the average number of languages spoken at our team?
The average number of languages spoken by the employees is calculated as a weighted average and equals 2.61.
To determine the average number of languages spoken by the employees, we need to calculate the weighted average. This takes into account the percentage of people speaking a different number of languages. Let's denote the number of languages spoken as L, and the percentage of people speaking that many languages as P.
According to the information provided, we have the following groups:
People who speak 2 languages, which is 100% - 45% - 8% = 47% of the employees.People who speak 3 languages, which is 45% of the employees.People who speak 4 languages, which is 8% of the employees.Now, we calculate the average with the formula:
Average = (L1 * P1 + L2 * P2 + L3 * P3) / 100
Where:
L1 = 2 languagesL2 = 3 languagesL3 = 4 languagesP1 = 47%P2 = 45%P3 = 8%Substituting the values we get:
Average = (2 *47 + 3 * 45 + 4 * 8) / 100
Average = (94 + 135 + 32) / 100
Average = 261 / 100
Average = 2.61
So, the average number of languages spoken by the employees is 2.61.
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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.
An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.9t^2 +19.6t + 58.8. What is the object's maximum height?
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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