Evaluate the expression x ÷ y for x = 8 and y = 16.
2 answers:
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Answer:
Mr. devito needs to buy 40 packs
Step-by-step explanation:
Given:
Total number of fourth grade students = 118
The number of pencils in one pack = 6
The number pencil each student gets =2
To find:
The number of packs of pencils that is to be bought = ?
Solution:
To give all the 118 fourth grade students each 2 pencils , the total number of pencils needed will be
= >
=> 236 Pencils
We know that a pack contains 6 pencils, so the number of pack that has to be bought , in order to have 236 pencils will be
=>
On substituting the values
=>
=> 39.33
=> 40
Answer:
The boat is approaching the dock at a speed of 3.20 ft/s when it is 4 feet from the dock.
Step-by-step explanation:
The diagram of the situation described is shown in the attached image.
The distance of the boat to the dock along the water level at any time is x
The distance from the person on the dock to the boat at any time is y
The height of the dock is 5 ft.
These 3 dimensions form a right angle triangle at any time with y being the hypotenuse side.
According to Pythagoras' theorem
y² = x² + 5²
y² = x² + 25
(d/dt) y² = (d/dt) (x² + 5²)
2y (dy/dt) = 2x (dx/dt) + 0
2y (dy/dt) = 2x (dx/dt)
When the boat is 4 ft from dock, that is x = 4 ft,
The boat is being pulled at a speed of 2 ft/s, that is, (dy/dt) = 2 ft/s
The speed with which the boat is approaching the dock = (dx/dt)
Since we are asked to find the speed with which the boat is approaching the dock when the boat is 4 ft from the dock
When the boat is 4 ft from the dock, x = 4 ft.
And we can obtain y at that point.
y² = x² + 5²
y² = 4² + 5² = 16 + 25 = 41
y = 6.40 ft.
So, to the differential equation relation
2y (dy/dt) = 2x (dx/dt)
when x = 4 ft,
y = 6.40 ft
(dy/dt) = 2 ft/s
(dx/dt) = ?
2 × 6.40 × 2 = 2 × 4 × (dx/dt)
25.6 = 8 (dx/dt)
(dx/dt) = (25.6/8) = 3.20 ft/s.
Hope this Helps!!!
Answer:
Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction </u>
We need to convert the following decimal to a fraction:
Let's call x to the given number:
The number has two repeating (periodic) decimals, thus we multiply by 100:
Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:
Operating:
99x=-37
Dividing by 99:
The fraction cannot be simplified, thus: