what is 0.4 as a simplified fraction
Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
john has to pay $7.00 admission for the skating rink and $1.50 per hour to rent roller blades. how many hours can he skate for $19?
19/1.50=12.7
12.7-7=5.7
Therefore, he can go ice skating for 5 hours, unless you can do half hours. If you can also pay for half hours, then he can skate for 5 and a half hours.
Stephen spent $4 on milk, $6 on eggs, and $11 on cereal. He wrote the ratio 6/11 to describe some of his purchases. Explain why the ratio is not a fraction.
The ratio 6/11 does not represent all of Stephen's purchases, as it excludes the $4 he spent on milk.
What is the ratio?A ratio is a mathematical relationship that demonstrates how frequently one number contains or is contained inside another. Two numbers are compared using it.
If Stephen had written the ratio of the total amount spent on eggs and cereal to the amount spent on milk, it would have been:
(6 + 11) / 4 = 17/4
This ratio is also a fraction, but it cannot be simplified to a whole number, as the numerator and denominator have no common factors other than 1.
Therefore, the ratio 6/11 is a fraction that represents a comparison between two of Stephen's purchases, but it does not represent all of his purchases, and it is not the only possible ratio that can be written using the given information.
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How do I answer this...don't make sense.
Solve for r in this equation.
s = 2πrh
A. s / 2π = r
B. s / 2πh = r
C. 2πsh = r
D. s / 2 = r
what is the fourth number of 12 48 50 if the mean is 30
What is the measure of the highlighted angle
Pablo prepares to lift a barbell. During which stage of the lift does Pablo do work on the barbell?
Answer:
when he lifts the barbell from the floor to his chest
Step-by-step explanation:
A bakery uses 3 cups of flour to makeveach loaf of bread. There are 3 loaves of bread on a tray. There are 6 trays on a cart how many cups of flour are used to make a full cart of bread show your work
The bakery uses 54 cups of flour to make a full cart of bread.
Given that, a bakery uses 3 cups of flour to make each loaf of bread. There are 3 loaves of bread on a tray.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now,
6 trays x 3 loaves per tray= 18 loaves
18 loaves x 3 cups of flour each= 54 cups of flour
Therefore, the bakery uses 54 cups of flour to make a full cart of bread.
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What did the magician do when he lost his temper?
Answer:
hmmmmm
Step-by-step explanation:
k what did he do?
Is 4/5 equivalent to 5/6?
y=x+3,domain:0,1,2,3,4,5
Use the multiplication table. Describe a pattern you see in rows 3 and 6
The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row.
How to understand the multiplication tableIn a multiplication table, each row represents the product of a particular number (the row number) with the numbers in each column. If we consider rows 3 and 6, they represent the products of 3 and 6 with the numbers in each column.
The pattern observed in rows 3 and 6 is that the elements in the 6th row are exactly twice the corresponding elements in the 3rd row. This pattern holds true because each element in row 6 is twice the corresponding element in row 3.
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how do you solve 1/3(2x-4)+5=-2/3(x+1)
Final answer:
Solving the equation 1/3(2x-4)+5=-2/3(x+1) involves distributing the fractions, combining like terms, and then multiplying by the reciprocal to isolate x, which results in a solution of x = -4.
Explanation:
To solve the linear equation 1/3(2x-4)+5=-2/3(x+1), you start by distributing the fractions across the parentheses and then combine them like terms. First, multiply 1/3 by each term inside the parentheses (2x-4) and -2/3 by each term inside (x+1), which gives:
2/3x - 4/3 + 5 = -2/3x - 2/3
Next, combine like terms and add 2/3x to both sides:
2/3x + 2/3x = -2/3 - 5 + 4/3
This simplifies to:
4/3x = -16/3
To isolate x, multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:
x = (3/4) x (-16/3) = -4
The solution for x in the given equation is -4.
Final answer:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. The solution to the equation is x = -7/12.
Explanation:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. Let's start by distributing and solving the equation:
1/3(2x-4)+5=-2/3(x+1)
(2/3)x - 4/3 + 5 = (-2/3)x - 2/3
Combining like terms:
(2/3)x + 5/3 = (-2/3)x - 2/3
Add (2/3)x to both sides:
(2/3)x + (2/3)x + 5/3 = (-2/3)x + (2/3)x - 2/3
Simplify:
(4/3)x + 5/3 = -2/3
Subtract 5/3 from both sides:
(4/3)x + 5/3 - 5/3 = -2/3 - 5/3
Simplify:
(4/3)x = -7/3
Finally, divide both sides by 4/3 to solve for x:
(4/3)x / (4/3) = -7/3 / (4/3)
Simplify:
x = -7/12
Therefore, x = -7/12 is the solution to the equation.
Which answers are examples of inductive reasoning?
Select each correct answer.
The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine.
Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Answer: Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Step-by-step explanation:
Inductive reasoning is a logical reason in which multiple premises which are believed to be true or found true most of the time, are combined to form a particular conclusion.
Therefore, the second and the fourth are the examples of inductive reasoning.
Answer:
Just took it for you future peoples!
Step-by-step explanation:
30 POINTS! Which graph represents the function f(x)=−|x−3|+1 ? ( Please save me)
Shoe sales very soon company were $25.9 billion. See other expected to increase by about 20% in the next year. Find the projected amount of shoe sales next year.
PLZ HELP ASAP!!!!!!!,
Boris is playing on the mall escalators. One escalator goes up, one goes down, and one is out of service; otherwise, they're all identical. The up and down escalators go at the same speed. You can assume that Boris always runs at the same speed.
Boris can run up the up escalator in 6 seconds. He can run up the down escalator in 30 seconds. How long does it take him to run up the out-of-service escalator? Explain your answer
Answer:10 sec
Step-by-step explanation:
Given
Boris can run up the escalator in 6 sec
Also he can run up the down escalator in 30 sec
i.e. He travel same distance either ways
Let the distance be x and v be the speed of boris and [tex]v_0[/tex] be the speed of escalator.
[tex]x=6\times \left ( v+v_0\right )[/tex]----1
[tex]x=30\times\left ( v-v_0\right )[/tex]----2
Equating 1 and 2
[tex]5\left ( v-v_0\right )=v+v_0[/tex]
[tex]5v-5v_0=v+v_0[/tex]
[tex]v_0=\frac{2}{3}v[/tex]
substituting in 1
[tex]x=6\times \left ( v+v\frac{2}{3}\right )[/tex]
[tex]x=6\times v\frac{5}{3}=10v[/tex]
Thus form above equation we can say that it requires 10 sec for Boris to climb up in out of service escalator.
3 2/5 miles in 7/8 hour. What is his average speed in miles per hour?
Write 15 cubed in exponential notation expanded form and standard form
A bicyclist started riding at 8:00am. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour?
Hillary jogged a total distance of 7 and 1 over 3 miles during the months of October and November. If Hillary only jogged 1 over 6 mile every day, which expression shows the number of days in which she went jogging?
Answer:
7 and 1 over 3 multiplied by 1 over 6
Step-by-step explanation:
There are 15 people in a room. Each person ate 2/3 of a pizza. There was no more pizza remaining. How many pizzas were in the room?
Show why this statement is true: the square root of four times nine equals the square root of four times the square root of nine
Please help me thank yu
What would happen if the order of operations did not exist?
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Answer:
D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Step-by-step explanation
Multiply the width by the length 38x112= 4,256
He has 4,400 tiles and only needs 4,256
4,400- 4,256= 144 left over tiles
Oxygen is carried through the body by
Factor 42x+28y using the GCF.
Stacy and Neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint? Enter your answer in the box.
we know that
Stacy and Neil painted [tex]280\ ft^2[/tex] of their living room wall with [tex]4/5\ gallon[/tex] of paint
so
by proportion
Find how many square feet can they paint with [tex]3[/tex] gallons of paint
[tex]\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}[/tex]
therefore
the answer is
[tex]1,050\ ft^{2}[/tex]
The square feet that can be painted with 3 gallons of paint is 1050 square feet.
The first step to take in order to determine the square feet that can be painted with 3 gallons, the square feet that can be painted with 1 gallon of paint has to be determined.
Number of square feet that can be painted with one gallon = 280 ft² ÷ [tex]\frac{4}{5}[/tex]
280 x [tex]\frac{5}{4}[/tex] = 280 feet
The second step is to determine the square feet can be painted with 3 gallons of paint.
280 feet x 3 = 1050 square feet.
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