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3 years ago

Estimate the quotient: 16 3/4 divided by 4 2/3. Show your work.

Mathematics

2 answers:

Alex787 [66]3 years ago

6 0

Answer:

3 33/56

Step-by-step explanation:

16 3/4 convert to fraction: 67/4

4 2/3 convert to fraction: 14/3

67/4 divided by 14/3 = 67(3) / 4(14)

201/56

simplify

3 33/56

Eva8 [605]3 years ago

3 0

Answer:

Step-by-step explanation:

First turn them into improper fractions.

16 3/4 ----> 67/4

4 2/3 -----> 14/3

67/4÷14/3= ?

Now use keep, change, flip strategy

67/4×3/14= 201/56

Now simplify 3 33/56

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What is thr radian measure of anangle that is 105 degrees 32

saveliy_v [14]

Formula to convert Radians to degrees or Degrees to radians:

Degree/180° = Radian/π

In the problem we have 105.32° to convert into Radian:

105.32/180 = Radian/π
And Radian = (π).(105.32)/180° = 1.838 Radian

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3 years ago

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.00 m/s. The car is a distan

enyata [817]

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3 years ago

In this question, f : R → R is a differentiable function. We will use linear algebra try to find a good linear approximation to

Vitek1552 [10]

Answer:

See step by step explanations to get answer.

Step-by-step explanation:

Given that:

Our linear approximation will be of the form y = c + mx. Use the values of f at the point a and the nearby point a h to find a good approximation. (You will need to set up a linear system involving c, m,a, h, f(a), f(a+ h), where c and m are the variables. You should also be able to solve this linear system exactly for the vector.

4 0

3 years ago

A factory is to be built on a lot measuring 210 ft by 280 ft. A local building code specifies that a lawn of uniform width and e

Tresset [83]

Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

$A_{lot} = 210 * 280\\A_{lot} = 58800 ft^{2}$

Since, the area of factory should be equal to area of lawn:

$A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}$

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

$(210-2x)\\(280-2x)\\$

Since, area is equal to length x width:

$(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2} - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\$

Divide whole equation by 4,

$x^{2} - 245 + 7350 = 0\\$

Solving above quadratic equation, we get,

$x = 210\\x = 35\\$

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

$(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft$

We can also reconfirm the area of factory by multiplying the above two lengths:

140 * 210 = 29400 ft

8 0

3 years ago

Four friends go out to eat and their meal costs $86.50. The sales tax is 6.75% and they tip the waiter 20%. How much should each

Stolb23 [73]

Answer:

$27.41

Step-by-step explanation:

Meal Cost = $86.50

Sales Tax= 6.75% of the Meal Cost

= 6.75% X 86.50

= 0.0675 X 86.50

=$5.84

They tipped the Waiter 20%

20% of 86.50

=0.2 X 86.50

=$17.30

Total Bill= Meal Cost + Sales Tax + Tip

= 86.50 +5.84 + 17.30

=$109.64

Since the friends are four, each one will be expected to pay:

$109.64/4

=$27.41

Each of the friends should pay $27.41 to the nearest cent.

5 0

3 years ago