To stay within budget, she must use 3.9 gigabytes.
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.
First, we need to establish the total cost formula:
Total cost= 54.5 + 5*x
x= number of gigabytes
Now, we isolate x:
74= 54.5 + 5x
19.5/5= x
3.9= x
To stay within budget, she must use 3.9 gigabytes
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Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
The length of the given rectangle is 10 units.
Here, we are given that the perimeter of a rectangle is 36 units.
A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-
Perimeter = 2 ( length + breadth )
Here, the breadth (width) is given to be 8 units.
Let the length be x units.
Then, we can form the following equation-
Perimeter = 2( x + 8 )
36 = 2x + 16
36 - 16 = 2x
20 = 2x
2x = 20
x = 20/2
x = 10
Thus, the length of the given rectangle is 10 units.
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You don't need the apothem if the side length is known, the area can be expressed as:
A(n,s)=ns^2/(4tan(180/n)), n=number of sides and s=side length so
A(7,28)=(7*28^2)/(4tan(180/7))
A≈2848.987 ft^2
A≈2849 ft^2 (to the nearest tenth of a square foot)
Answer:
7.3%
Step-by-step explanation:
First you have to find out what 38 out of 41 is as a percentage
This is 92.68%
so now we have to do
100.00 - 92.68 this is 7.32
But you said round to the nearest tenth so it would actually be rounded down to 7.3%
