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Nikolay [14]
3 years ago
8

Why is 1/2 not useful as a benchmark to compare 5/8 and 9/10?

Mathematics
2 answers:
pentagon [3]3 years ago
4 0
1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).
SVEN [57.7K]3 years ago
4 0

Solution:

1/2 is not a useful benchmark to compare 5/8 and 9/10 because if we observe closely we found that

\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} =\frac{1}{8}

and

\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times\frac{1}{2}=\frac{1}{10}

In the first case 1/2 comes four times and in the second case 1/2 comes 5 times in multiplication so logically the second number 9/10 should be smaller than the first number 5/8.

But 9 is greater than 5 it mean second number should be greater than the first number.

Both the above two conclusions are contradictory to each other.

Hence we can not use 1/2 as a benchmark to compare 5/8 and 9/10.

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Step-by-step explanation:

6 0
3 years ago
Can someone help me with questions 2 and 3 pls?
bija089 [108]

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

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We can't really see question 3.

7 0
2 years ago
What goes on the lines I don’t understand the problem
Elis [28]

Answer:

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x        2         4          6          

y        8         6          4                

5x + 3y = 42

3y = -5x + 42

y = -\frac{5}{3}x+14

x        0           3          6        

y       14           9          4                  

Point of intersection of these lines will be (6, 4).

3 0
3 years ago
Suppose the function h(x)=2x-9 is translated up 5 united to become a new function, i(x). what the equation of the new function?
andreyandreev [35.5K]

Option B

i(x) = 2x - 4 is the equation of the new function

<em><u>Solution:</u></em>

Given that the function h(x) = 2x-9 is translated up 5 united to become a new function, i(x)

To find: Equation of new function

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input.

Adding to the output of a function moves the graph up

Therefore,

Given function is:

h(x) = 2x - 9

Translated up by 5 units

<em><u>Therefore, new function is:</u></em>

i(x) = h(x) + 5

i(x) = 2x - 9 + 5

i(x) = 2x - 4

Thus Option B is correct

6 0
3 years ago
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