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3 years ago

10. An equation is shown. 5 1/2 + 5 1/? = 10 4/6What is the value of the missing number?

Mathematics

1 answer:

egoroff_w [7]3 years ago

7 0

Answer:

The value of the missing number is 6, as denominator of the mixed number 5 1/6

Step-by-step explanation:

Let's find the value of the missing number, this way:

5 1/2 + 5 1/? = 10 4/6

Converting mixed numbers to fractions:

If we observe carefully, we notice than both mixed numbers on the left start with 5 as whole number and their sum are the whole number of the result of the right

5 + 5 = 10

Therefore, just let's work with the fractions, this way:

1/2 + 1/? = 4/6

1/? = 4/6 - 1/2

1/? = 4/6 - 3/6

1/? = 1/6

The value of the missing number is 6, as denominator of the mixed number 5 1/6

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor

Ilya [14]

Answer:

$M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.$

Step-by-step explanation:

Function modeling

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

$M=0.4x$

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

$M=0.5x$

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

$M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.$

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

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3 years ago

A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t

MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = $53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})$

now,

at height 53 above the ground, we get the equation as:

53 = $53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$

$50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 53 - 53

$\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

$\frac{\pi t}{16} = \frac{\pi}{2}$

t = 8 seconds

and,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = π

$\frac{\pi t}{16}= \pi + \frac{\pi}{2}$

$\frac{\pi t}{16}= \frac{3\pi}{2}$

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

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3 years ago

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lys-0071 [83]

Answer:

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Step-by-step explanation:

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3 years ago

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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3 years ago

£10 is divided between Alex, Peter &

Butoxors [25]

Answer: Peter gets £3

Step-by-step explanation:

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X = 1 = Angad

Peter get 3x = 3*1 = 3

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3 years ago

Read 2 more answers

10. An equation is shown. 5 1/2 + 5 1/? = 10 4/6What is the value of the missing number?​

10. An equation is shown. 5 1/2 + 5 1/? = 10 4/6What is the value of the missing number?