what is 0.4 as a simplified fraction
Answers
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.
Related Questions
How does alternate freezing and thawing of water cause weathering to occur?
Answers
Hope this helps.
Take care,
Diana
How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.
(12x-32) factored using GCF
Answers
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
Answers
The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.
To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.
Given:
- Total distance travelled = 420 miles
- Amount of gas consumed = 8 3/4 gallons
To find the gas mileage, we divide the total distance by the amount of gas:
[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]
To divide by a mixed number, we first convert it to an improper fraction:
[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]
Now, we can perform the division:
[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]
[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]
Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.
So the correct answer is: B. 48 miles per gallon.
Complete Correct Question:
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
A. 43 miles per gallon
B. 48 miles per gallon
C. 49 miles per gallon
D. 50 miles per gallon
If y=x+5 were changed to y=x+9 how would the graph of the new function compare with the first one
Answers
if b is between a and c find the value if x and bc when ab=3x bc=5x and ac=8
Answers
3x + 5x = 8
8x = 8
x = 1 is value of x
To find the length of bc substitute 1 for x
ab = 5 ( 1)
ab = 5
The value of x is 1, and the length of segment BC is 5 units.
If point B is between points A and C, then we can use the segment addition postulate to relate the lengths of segments AB, BC, and AC.
According to the segment addition postulate, the sum of the lengths of two segments that form a larger segment is equal to the length of the larger segment. In this case, we have:
AB + BC = AC
We're given that AB = 3x, BC = 5x, and AC = 8. Substituting these values into the equation:
3x + 5x = 8
Combine like terms:
8x = 8
Now, divide both sides by 8 to solve for x:
x = 8 / 8
x = 1
So, x is equal to 1.
Now that we know the value of x, we can find the length of segment BC:
BC = 5x
BC = 5 * 1
BC = 5
for such more question on length
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A total of 8,644 people went a football game 5,100 sat on the home side rest sat on visitors side if people on visitors side filled 8 equal sections how many people sat in each sections
Answers
8644-5100= 3544
then you divide 3544/8= 443
so 443 people sat in each section in all 8 sections
so final answer is 443 people per section
Answer: 443 each row
Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about it next time bud!
The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are there? a. 549 b.390 c. 280 d. 56
Answers
5 : 7
since the question states that there are 392 yellow poms, the 7 units represents 392 yellow poms. now you have to gind what is one unit and then multiply by 5 to find the number of red poms.
392 represents 7 units
1 unit: 392/7=56
5 units: 5×56=280 red poms
therefore the answer is 280 red poms which is C.
What is the multiplier for 3/10=15/50
Answers
Answer : 5
The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fraction is 3/10
And the fraction of 3/10 is equivalent to the 15/50
3/10 = 15/50
On the left side multiply by 5 on the numerator and denominator.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
= (3/10)(5/5)
= 15/50
Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
Learn more about the fraction here:
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What integer represents a gain of 8 yd
Answers
hope this helps !
What is the value of m? 12+(7+m)=30 Drag and drop the correct answer in the box.
Answers
m = 30 - 12 - 7 =
11
---------------------
12+7+11= 30
Answer:
11
Step-by-step explanation:
12+(7+m)=30
12+7=19
30-19=11
m=11
can anyone get this answer
Answers
In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:
25 + (3.5)^2 = c^2
From here, you don’t even need to solve for c, you just need to find the value of c^2 (since you’re trying to find the area of a square with side lengths c). Just solve the left side of the equation, and you’ll have your answer in square inches.
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
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x=4_____________________________________________________________________________________________________
One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?
Answers
2x=58
x=29
x=21
Have a great day :)
Answer:
x+x-8=50
2x=58
x=29
x=21
Step-by-step explanation:
x+x-8=50
2x=58
x=29
x=21
hope this helps have an amazing day :)
David took his family out for dinner. He planned to leave a 20% gratuity on the bill. What is the total cost if the bill was $125.00?
Answers
125 x 0.01 = $1.25
1.25 x 20 = $25 gratuity.
Bill + gratuity = Total
$125 + $20 = $145
$145 is the answer.
Hope that helped! :)
if you know 8×10=80, what other related multiplication fact do you know?
Answers
10,20,30,40,50,60,70,80,90,100.
8,16,24,32,40,48,56,64,72,80,88,96.
Find the unknown side length for the triangle.
Area = 18 ft²
A. 1.5 ft
B. 3 ft
C. 6 ft
D. 9 ft
Answers
The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?
Answers
Do you need farther explaining
Find (7 × 10^5) + (2 × 10^3).
A) 7.002 × 10^3
B) 7.002 × 10^5
C) 7.02 × 10^3
D) 7.02 × 10^5
Answers
To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.
Explanation:To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:
7 × 10^5 = 700,0002 × 10^3 = 2,000Adding the two numbers:
700,000 + 2,000 = 702,000
Now, we need to convert 702,000 back into proper scientific notation. To do this:
Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:
(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,
so the correct choice is D) 7.02 × 10^5.
PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
Answers
Answer: 5 units.
Step-by-step explanation:
Given : Line segment EF has a length of 5 units. (1)
It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.
Thus, The length of E'F'=EF [∵E'F' is the image produced after translation of EF]
⇒ Length of E'F'= 5 units. [From (1)]
Which is the best definition of a quadrilateral?
A.
a 4-sided polygon with no equal sides
B.
a parallelogram with no equal sides
C.
a 4-sided polygon
D.
a parallelogram with 2 pairs of equal angles
Answers
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you can make so that there are equal numbers of bananas in equal number of apples in each fruit basket how many bananas and apples will be in each fruit basket
Answers
Hope this helped :)
35 birds to 45 birds?
Answers
A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!
Answers
1/3 of total oranges = 4
1/3x = 4
x = 4 * 3
x = 12 .....12 oranges
1/4 of total grapefruits = 7
1/4x = 7
x = 7 * 4
x = 28.....28 grapefruit
total fruit : 12 + 28 = 40 pieces <==
1/3 = 4/x
this equation is set up as 4 of the oranges are 1/3 of how many oranges? cross multiply to solve.
there were 12 oranges.
1/4 x 7/x
this describes the grapefruits.
there were 28.
28 + 12 = 40 peices of fruit.
-2(u+3)-5u
use distributive property to simplify
Answers
-2(u+3)-5u
-2u-6-5u
-3u-6
-2(u+3) - 5u
-2u - 6 - 5u
Combining like terms:
-7u - 6
Hope this helps!
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
a reflection over the y-axis and a translation 4 units up
a reflection over the y-axis and a translation 4 units down
a reflection over the x-axis and a translation 4 units up
a reflection over the x-axis and a translation 4 units down
Answers
Answer:
(c) a reflection over the x-axis and a translation 4 units down
Step-by-step explanation:
I took a quiz with this question :) Happy Halloween
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
Answers
15/2=7.5 miles/hr
Kyle wants to find the equation of the line that passes through the points (1, –7) and (–1, 1) . Which set of calculations will help Kyle find the equation of the line?
Answers
use distribution property in reverse to factor out the common term
5x+5
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the manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $3.50 per pound and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of tge earl grey tea and orange pekoe tea are required
Answers
Final answer:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.
Explanation:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.
Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.
We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.
This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.
The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.
We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.
We can solve these two equations to find the values of x and y.
Jaime wrote 4.4 - 0.33 = 1.1. Is his answer reasonable? Why or why not ( PLEASE HELP ME )
Answers
The number 4.4 goes out to the tenth decimal place, while the number .33 goes out to the hundredths decimal place.