A college student realized that he was spending too much money on fast food. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards fast food. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $25, $80, and $30, respectively? Round your answer to two decimal places, if necessary.

Answers

Answer 1
Answer:

Answer:

The college student can spend $15.00 in December.

Step-by-step explanation:

This can be calculated as follows:

Let y represents the amount to spend in December.

The can now us the formula for calculating a mean is as follows:

Mean = Sum of montlhy spending / Number of months ...... (1)

From the question, we have:

Mean = $50

Sum of monthly spending = $100 + $25 + $80 + $30 + y = $235 + y

Number of months = 5

Substituting the values into equation (1) and solve for y, we have:

$50 = ($235 + y) / 5

$50 * 5 = $235 + y

$250 = $235 + y

$250 - $235 = y

$15.00 = y

Therefore, the college student can spend $15.00 in December.

Answer 2
Answer:

Final answer:

To achieve a mean expenditure of $50 per month on fast food across 5 months, the student can only spend $15 in December, considering that he has already spent a total of $235 in the other 4 months. This keeps his total spending at $250, giving an average of $50 per month.

Explanation:

The student wants to spend a mean of $50 per month on fast food for 5 months. In 4 of those months, he has already spent $100, $25, $80, and $30, respectively. That totals to $235 in spent funds already. Since the goal is a $50 monthly average, we multiply $50 by 5 months to get a total desired spending of $250. To find out how much he can spend in December, we subtract the total already spent from the total desired spending. As such, he can spend $250 - $235, which equals to $15 in December.

Learn more about Average Expenditure here:

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Calculate the length of AD in the triangle-based pyramid below.Give your answer to 2 d.p.
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Answers

Answer:

1782

Step-by-step explanation:

I got this by multiplying the sides and dividing the shapes and sizes to the power of pie  then added a +c and got 172

Answer:

70.42

Step-by-step explanation:

Find the solutions to the equation -5/2x+3/4x=-3\4

Answers

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )

x = 3/7

-(5)/(2)x+(3)/(4)x=-(3)/(4)\n\n-(5*2)/(2*2)x + (3)/(4)x=-(3)/(4)\n\n(-10)/(4)x+(3)/(4)x=-(3)/(4)\n\n(-10+3)/(4)x=-(3)/(4)\n\n-(7)/(4)x=-(3)/(4)\n\n-(7)/(4)x * -4 =-(3)/(4) * -4\n\n7x = 3\n\n\boxed{\bf{x =(3)/(7)}}

What is the soultion of - 21 = n - 8



what is n

Answers

This is a simple equation:)
We have to isolate "n" to be alone. 
-21 = n - 8 

First add 8 to both sides. 
-21 = n - 8
+8  =    + 8 it cancels out on the right side of the equal side and you solve on the left side

soooo
-21 + 8 = -13
-13 = n 

Finally our answer is
-13 = n  



When in doubt, eat a pineapple:)

Why did most ancient cultures primarily write out there mathematical text in words

Answers

The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy.

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized.

The use of decimal fractions and decimal arithmetic is usually attributed to the Flemish mathematician Simon Stevin the late 16th Century, although the decimal point notation was not popularized until early in the 17th Century.

It has evolved from simple counting,measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad,complex and often abstract discipline we know today.

Mathematical symbols were not created until the 16th Century. The earliest is the plus sign, +, in the 14th and the minus, -, is the 15th.

For more information about History of Mathematics click the link the below.

brainly.com/question/5659298

The correct answer is:

They had no numeral for zero in their number system.

Without a zero, it is hard to accurately represent real world problems.  This makes it easier to use words rather than numbers.

Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1.5 m/s, how fast is the area of the spill increasing when the radius is 30 m?

Answers

Answer:

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Step-by-step explanation:

Derivative Rule:

  • (d)/(dx)x^n=nx^(n-1)
  • (d)/(dx)(y^n)=ny^(n-1)(dy)/(dx)

Given that

The radius of the oil spill increases at a rate 1.5 m/s.

i.e (dr)/(dt)= 1.5\ m/s

We need to find the rate of area increase i.e (dA)/(dt) .

We know,

The area of the oil spills A = \pi r^2  ( since it spreads in circular pattern)

\therefore A=\pi r^2

Differentiating with respect to t

(dA)/(dt)=\pi. 2r(dr)/(dt)

Plug the value of (dr)/(dt) =1.5 \ m/s

(dA)/(dt)=\pi. 2r(3\ m/s)

\Rightarrow (dA)/(dt)=6\pi r \ m/s

Plug r= 30 m

\Rightarrow (dA)/(dt)=6\pi (30\ m) \ m/s

         =180 π m²/s

The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.

Which addition expression has the sum 8 – 3i ?

a. (9 + 2i) + (1 – i)

b. (9 + 4i) + (–1 – 7i)

c. (7 + 2i) + (1 – i)

d. (7 + 4i) + (–1 – 7i)

Answers

The correct answer is B. If you drop the parenthesis and collect like terms you get 8-3i.

Answer:B

Step-by-step explanation: