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When a number is decreased by 8.3%, the result is 50. What is the original number to the nearest tenth?

lesya692 [45]

I'm pretty sure the answer would be 2.

Sorry if it's wrong

5 0

3 years ago

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Two friends, Hailey and Jenna bought two tickets to see a play at a local theater . Each ticket cost $17.25. Each friend donated

Gennadij [26K]

If you let the convenience fee equal x, then...

(2×17.25)+(2×1)+(2×x)= 40.50

There are 2 girls so we multiply all the charges by 2. Add them together and you'll get 40.50. Now if we solve for x, we will get the amount of the convenience fee.

2×17.25 + 2×1 + 2x = 40.50
34.50 + 2 + 2x = 40.50
36.50 + 2x = 40.50
2x = 40.50 - 36.50
2x = 4
x = 2

Each girl paid a 2 dollar convenience fee.

6 0

3 years ago

You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi

USPshnik [31]

The <em>correct answer</em> is:

4 full batches.

Explanation:

To solve this, we need to see how many "servings" (the amount needed for the recipe) of granola and peanuts we have.

We have 12 cups of granola. We need 2 3/4 cups. We need to see how many 2 3/4 cup-sized "servings" there are in 12 cups. We do this by dividing:

12 ÷ 2 3/4

Write both of these as improper fractions:

12/1 ÷ 11/4

To divide fractions, flip the second one and multiply:

12/1 × 4/11 = 48/11 = 4 4/11

This means we have 4 full servings of granola.

We have 8 1/2 cups of peanuts. We need 1 1/3 cups. We need to see how many 1 1/3 cups-sized "servings" there are in 8 1/2 cups. We do this by dividing:

8 1/2 ÷ 1 1/3

We need to write both of these as improper fractions:

17/2 ÷ 4/3

To divide fractions, flip the second one and multiply:

17/2 × 3/4 = 51/8 = 6 3/8

We have 6 full servings of peanuts.

The greatest number of full batches we can make will be the smaller of the two full servings we have. We have 4 full servings of granola and 6 full servings of peanuts; we cannot make 6 full batches of trail mix, since we don't have enough granola. This means we can only make 4 full batches.

6 0

4 years ago

Read 2 more answers

consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where

boyakko [2]

Answer:

a) $X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

b) $Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

Step-by-step explanation:

From the question we are told that

The Function

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

Generally the differentiation of function f(x) is mathematically solved as

$f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}$

$f(x)=\frac{x^3+x^2+5x+1}{x^2}$

Therefore

$f'(x)=\frac{x^2+10x+3}{x^4}$

Generally critical point is given as

$f'(x)=0$

$\frac{x^2+10x+3}{x^4}=0$

$x=-5 \pm\sqrt{22}$

Generally the maximum and minimum x value for critical point is mathematically solved as

$f'(-5 \pm\sqrt{22})$

Where

Maximum value of x

$f'(-5 +\sqrt{22})$

Minimum value of x

$f'(-5 +\sqrt{22})$

Therefore interval of increase is mathematically given by

$f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})$

$f(x)$

Therefore interval of decrease is mathematically given by

$(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)$

Generally the second differentiation of function f(x) is mathematically solved as

$f''(x)=\frac{2(x^2+15x+6)}{x^5}$

Generally the point of inflection is mathematically solved as

$f''(x)=0$

$x^2+15x+6=0$

Therefore inflection points is given as

$x=\frac{1}{2} (-15 \pm \sqrt{201}$

$f''(x)>0,\frac{1}{2}(-15-\sqrt{201})$

a)Generally the concave upward interval X is mathematically given as

$X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)$

$f''(x)$

b)Generally the concave downward interval Y is mathematically given as

$Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )$

5 0

3 years ago

Shelley purchases several stuffed animals to give to charity. The price of each animal is listed in the chart. Which animal has

podryga [215]

The price of the duck because the 5 in the price of the horse is in the ones place. So you will have to divide by 10 to get to the 5 in the duck's price.

4 0

3 years ago