The given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The fraction given is [tex]5\frac{1}{6}[/tex] . This is a form of mixed fraction.
We know that the mixed fraction is written in form [tex]r\frac{x}{b}[/tex] and to change it in form a/b we need to multiply b with r , and then add it with x , which is equal to a , and then divide it by b.
i.e.,
Here , r = 5 , x = 1 and b = 6
So , b × r = 30 and when added with x = 1 , we get :
a = b × r + x = 31
dividing it by b we get :
a/b = 31/6
It is fraction in form a/b.
Therefore , the given mixed fraction [tex]5\frac{1}{6}[/tex] can be expressed in the form [tex]\frac{a}{b}[/tex] as equal to [tex]\frac{31}{6}[/tex].
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Maddie has 2 times as many stickers on her notebook as meg. together they have 15 stickers. how many stickers are on maddie's notebook?
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
n = 35 • 0.63; 22.05
n = 0.35 • 63; 22.05
n = 35 • 63; 2,205
n • 0.35 = 63; 180
Answer:
n = 0.35 • 63 = 22.05Step-by-step explanation:
To find the 35% of 63, we first should transform the percentage in a fraction, and then operate.
SO, we know that
[tex]35\%=\frac{35}{100}[/tex]
Multiplying this with 63, we have:
[tex]n=\frac{35}{100}63=0.35(63)=22.05[/tex]
Therefore the right answer is the second choice.
Select the next two terms in the pattern. 243, 81, 27, 9, . . .
Anna saves 5/8 of her money. What percent of her money does Anna save?
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours or 1 hour 36 minutes
Step-by-step explanation:
We have been given an equation [tex]t=\frac{1}{500}d[/tex], where d represents distance traveled in miles and t represents time in hours.
To find the time taken by the flight to travel 800 miles, we will substitute [tex]d=800[/tex] in our given equation as:
[tex]t=\frac{1}{500}\times 800[/tex]
[tex]t=\frac{800}{500}[/tex]
[tex]t=\frac{8}{5}[/tex]
[tex]t=1.6[/tex]
1 hour equals 60 minutes.
0.6 hours = 0.6*60 minutes = 36 minutes.
Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.
Using the equation, it is found that it will take 1.6 hours for the airplane to travel 800 miles.
The equation that relates the time in hours needed to travel d miles is given by:
[tex]t = \frac{1}{500}d[/tex]
In this problem, we want the time needed to travel 800 miles, thus [tex]d = 800[/tex], and:
[tex]t = \frac{1}{500}(800) = \frac{800}{500} = 1.6[/tex]
It will take 1.6 hours for the airplane to travel 800 miles.
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A scooter travels 30 feee in 2 seconds.
What is the speed of the scooter in feet per second?
(If you get the question right you will be marked as brainliest.)
We have that for the Question "A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
" it can be said that the speed of the scooter in feet per second is mathematically given as
V=15ft/s
From the question we are told
A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
Generally the equation for the speed of the scooter in feet per second is mathematically given as
[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]
V=15ft/s
Therefore
the speed of the scooter in feet per second is mathematically given as
V=15ft/s
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I need Help on this one guys
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive ?
math question down below
Jones middle school has 850 students and gets 5 new students per month. Roberts Middle School has 985 students and 10 students withdrawal each month. After how many months will Jones Middle School have students than Roberts Middle School
Jones Middle School will have more students than Roberts Middle School after 9 months.
Explanation:To find out after how many months Jones Middle School will have more students than Roberts Middle School, we need to determine the point at which the number of students at Jones Middle School exceeds the number of students at Roberts Middle School. Let's calculate the number of months it takes for this to happen:
Number of students at Jones Middle School = 850 + 5n (n represents the number of months)
Number of students at Roberts Middle School = 985 - 10n (n represents the number of months)
We need to find the value of n when the number of students at Jones Middle School is greater than the number of students at Roberts Middle School:
850 + 5n > 985 - 10n
Simplifying the inequality:
15n > 135
n > 9
Therefore, after 9 months, Jones Middle School will have more students than Roberts Middle School.
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Eric conducted a survey of the cars in four parking lots and wrote the following observations: 15 of the 36 cars in lot 1 were blue 43 of the 92 cars in lot 2 were blue 12 of the 30 cars in lot 3 were blue 32 of the 52 cars in lot 4 were blue based on the survey, which parking lot had the greatest present age of blue cars
The percentage of blue cars in the lot is the ratio of the number of blue cars to the total number of cars in each lot ; Hence, lot D has the greatest percentage of blue cars
Percentage of blue cars in each lot :
Number of Blue cars / total number of carsLot A :
% blue cars = 15 / 36 = 0.4167
Lot B :
% blue cars = 43 / 92 = 0.4673
Lot C :
% blue cars = 12 / 30 = 0.40
Lot D :
% blue cars = 32 / 52 = 0.615
Therefore, lot D has the greatest percentage of blue cars.
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Your heart beats 240 times in 4 minutes what is your heart rate in beats per second
Solve for c.
a=11+4b−4c
A)c=a+b-11/-4
B)c=a+4b+11/-4
C)c=a-4b-11/-4
D)c=a-b+11/-4
the answer is c
i hope it helped!
Suppose the Willard gold nugget was turned into 4 equal sized gold bricks. If one of the bricks was sold how many ounces of the Willard nugget would be left?
The number of ounces left after one brick is sold is 591.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Willard gold nuggets = 788 ounces
The number of equal-sized bricks = 4
Now,
The number of ounces in each of the 4 bricks.
= 788/4
= 197 ounces
Number of bricks sold = 1
The remaining ounces.
= 788 - 197
= 591 ounces
Thus,
The number of ounces left is 591.
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Two more than four times the sum of yesterday's high temperatures in degrees Fahrenheit and 7 is equal to the current temperature in degrees Fahrenheit.
a. Write an expression for the current temperature using t as yesterday's high temperature in your expression.
b. simplify the expression
c. if yesterday's high temperature was 3 degrees Fahrenheit, what is the current temperature?
A 32 mb memory stick can hold up to 491 images. How many images can 7 memory sticks hold?
To find out how many images 7 memory sticks can hold, multiply the number of images one memory stick can hold by the number of memory sticks.
Explanation:To find out how many images 7 memory sticks can hold, we need to multiply the number of images one memory stick can hold by the number of memory sticks. In this case, each memory stick can hold 491 images, so to find out how many images 7 memory sticks can hold, we calculate:
Number of images = Number of memory sticks × Number of images per memory stick = 7 × 491 = 3437 images
Therefore, 7 memory sticks can hold 3437 images.
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PLEASE HELP I WILL GIVE 50 POINTS
Using the distributive property, an expression equivalent to 48 + 30 is
5(6 + 8).
(6)(8) + (3)(10).
(3)(16) + (6)(5).
6(8 + 5).
Answer:
Step-by-step explanation:
78
Write the prime factorization of 216 in exponencial from.
How do you convert 10/6 into a mixed number
Zero point zero six divided by one hundred twenty two
how can you evaluate |-5|
the art teacher asks her students to cut out apples from construction paper five apples can be cut from each sheet of paper. if she needs 1045 apples how many sheets of paper does she need? write an equation to find the unknown then find the unknown
!!30 PTS!!
if it is 10 pm in Oregon where is it that it is 1 pm?
I am trying to convert time but, I am not THAT good at it
Francisco spent 25 minutes on the internet yesterday is this is 5/6 of the time she spent on the computer how long did she spend on the computer but not on the internet
The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m. The problem: (2,1), m=2
500 - 137 = to what
Need help with Solving for X
how do you write S is the set of natural numbers that are less than 8 in roster form
In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:
{1, 2, 3, 4, 5, 6, 7}
Which expression is equivalent to-8+7.25-6+0.5
The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.
Explanation:To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.
First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.
The equivalent expression is hence -6.25.
What decimal can be added to 0.0545454 To get 0.1545454
The decimal that needs to be added to 0.0545454 to get 0.1545454 is 0.1. This was determined by subtracting 0.0545454 from 0.1545454.
Explanation:The student asked: What decimal can be added to 0.0545454 to get 0.1545454? The solution requires simple subtraction. You need to subtract the given number (0.0545454) from the result you want to achieve (0.1545454). So the calculation is as follows:
0.1545454 - 0.0545454 = 0.1000000
Therefore, the decimal that needs to be added to 0.0545454 to result in 0.1545454 is 0.1.
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