Which fraction is equivalent to 1/3
Answers
The fraction number 1/3 is equivalent to 2/6, 9/27, and 3/9. Thus, the correct option is D.
Given that:
Fraction number, n = 1/3
One of every three equally sized portions is represented by the fraction 1/3. We need to choose a fraction that reflects the same proportion in order to establish which fraction is equal to 1/3.
A. 2/6 and 1/3 are comparable because both fractions may be made simpler by dividing the numerator and denominator by their greatest common factor, in this case, 2, which is the case for both fractions.
B. 9/27 and 1/3 are also comparable since both fractions may be made simpler by dividing both the numerator and denominator by their greatest common factor, in this case, 9, which is true for both fractions.
C. Because it represents the same percentage, 3/9 is comparable to 1/3.
Thus, the correct option is D.
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The complete question is given below.
Which fraction is equivalent to 1/3?
A. 2/6
B. 9/27
C. 3/9
D. All of the above
1/3=2/6 = 3/9=4/12 and so on...
Basically you just multiply the denominator and the numerator by the same number.
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Answers
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?
PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.
Answers
After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.
What is Arithmetic Sequence?
Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Part A :
From the table, we can clearly express both plans as Arithmetic sequence.
Plan 1 : First term, a = 27 and common difference, d = 2
Plan 2 : First term, a = 41 and common difference, d = 1
Let n be the number of visits that both plans costs the same.
27 + 2(n - 1) = 41 + (n - 1)
27 + 2n - 2 = 41 + n - 1
2n + 25 = n + 40
n = 15
Cost = 41 + (15 - 1) = $55
Part B :
We have to find the 10th term.
For plan 1 :
Cost at 10th visit = 27 + 2(10 - 1) = $45
For plan 2 :
Cost at 10th visit = 41 + (10 - 1) = $50
The plan 2 is more expensive at the 10th visit.
Hence at the 10th visit, plan 2 is more expensive.
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Step-by-step explanation:
From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.
Part A:
25 + 2x = 40 + x
x = 15
plug in any: 40 + 15 = $55
Part B:
Plan A = $45
Plan B = $50
Plan B is $5 more expensive.
Answers
Answer:
Diapers costs $11 and formula is $13.
Step-by-step explanation:
Let's name diapers as A and formula as B.
Simply the equations:
1A + 2B = $37(1)
2A + 5B = $87(2)
Clear D from one equation.
A = $37 - 2B(1)
Replace D into the other equation.
2*($37 - 2B) + 5B = $87(2)
$74 - 4B + 5B = $87
$74 + B = $87
B = $87 - $74 = $13
Find A, now knowing B.
A = $37 - 2($13)
A = $37 - $26 = $11
Answer:
Cost of a bag of diapers is $11 and cost of one can of formula is $13.
Step-by-step explanation:
Let cost of each diaper = $D and cost of each cans of formula = $C
Malik shops a bag of diapers and 2 cans of formula.
He spends total of $37.
So the equation will be
D + 2C = 37 -------(1)
Next week he stops and buys 2 bags of diapers and 5 cans of formula.
He spends total $87.
Equation for this purchase will be
2D + 5C = 87 ----------(2)
Multiply equation (1) by 2 and subtract it from equation (2).
2(D + 2C) - (2D + 5C) = 2×37 - 87
2D + 4C - 2D - 5C = 74 - 87
-C = - 13
C = 13
From equation (1)
D + 2×13 = 37
D + 26 = 37
D = 37 - 26
D = 11
Therefore, cost of a bag of diapers is $11 and cost of one can of formula is $13.
Answers
The combinations of sizes allow him to empty the bathtub in exactly four trips is a 5-liter bucket with the 3-liter bucket twice, a 3-liter bucket and the 4-liter bucket.
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Paul's bathtub is clogged. He has to empty 30 liters of water by hand.
Paul has a 3-liter, a 4-liter, and a 5-liter bucket.
If Paul carries two buckets each trip, we need to find the combinations of sizes that allow him to empty the bathtub in exactly four trips.
5 and 3 = 8 liters ,
5 and 4 = 9 liters,
3 and 4 = 7 liters.
8 + 7 + 8 + 7 = 30 liters,
So,
He can take the 5-liter bucket with the 3-liter bucket twice, and then he can use the 3-liter bucket and the 4-liter bucket twice.
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8 + 7 + 8 + 7 = 30 liters, so he can take the 5 liter bucket with the 3 liter bucket twice, and then use the 3 liter bucket and the 4 liter bucket twice.
Answers
Answer:
is the measure of the smallest angle in the hexagon.
Step-by-step explanation:
As, we know that the sum of all the angles is 720 degrees.
Given: The measures of the angles of the hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9.
Let x be the number used to simplify the size of each angle.
Sum of all the measure angles is 720 degrees
⇒
Combine like terms;
Divide both sides by 40 we get;
The measure of angles are:
Therefore; the measure of the smallest angle in the hexagon is,
Answers
Answer:
V ≈ 2011 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × perpendicular height
V = πr²h ( r is the radius and h the height )
Here r = 8 and h = 10, thus
V = π × 8² × 10
= π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )