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Anestetic [448]
3 years ago
13

Calculate percentage to the nearest 0.1%.

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

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lorasvet [3.4K]

Answer:

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3 years ago
Help asap! what does sinø=
RoseWind [281]

Answer:

-3/5

Step-by-step explanation:

Pythagorean formula :

x^2 + y^2 = r^2

(-8)^2 + (-6)^2 = r^2

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8 0
3 years ago
Lim x--> 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

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4 0
3 years ago
Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used
jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.


Step-by-step explanation:  Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.

Multiplying first equation by 4 and subtracting the second equation from it, we have

4y-3y=220-195\\\\\Rightarrow y=25,

and

x=55-25=30.

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0
3 years ago
Test 72,590 for divisibility by 2,5, or 10
nevsk [136]

Answer:

Divisible by 2, 5 AND 10.

Step-by-step explanation:

72590÷2=36295

72590÷5=14518

72590÷10=7259

5 0
3 years ago
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