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Dmitriy789 [7]
3 years ago
15

A restaurant sees about 600 orders on Tuesday. This is down from last Tuesday by about 0.85%. How many did they see last Tuesday

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

Number of orders seen on last Tuesday = 605

Step-by-step explanation:

Number of orders seen on Tuesday = 600

It is given that it is 0.85% less than last Tuesday.

Let number of sales on last Tuesday = x

As per question statement:

Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600

OR

i.e. if we subtract 0.85% of x from x, it must be equal to 600.

x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605

So, there were about 605 order seen last Tuesday.

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slava [35]

Answer:

The tip was actually a little over 15% so we could surely say it is pretty sound and reasonable.

Step-by-step explanation:

To Determine:

Explain how Kallie can mentally estimate whether her mom's tip is reasonable for a 15% tip?

<em>Information Fetching and Solution Steps:</em>

As

  • Kallie's mom takes her out for lunch
  • The bill comes to $18.75
  • Her mom comments that the waiter did a good job and deserves a 15% tip
  • Kallie notices that her mom leaves a $4 tip

So,

  • You can find \:10\% by moving the decimal point one place to the left
  • \:10\% of 18.75 will be 1.875, then half of that will be 5\%

So, 15\% should be be about 1.88\:+\:0.94\:=\:2.82

Therefore, the tip was actually a little over 15% so we could surely say it is pretty sound and reasonable.

Keywords:  tip, word problem, decimal

Learn more about word problem from brainly.com/question/13111591

#learnwithBrainly

4 0
3 years ago
What is the percent of change from 10 to 5?
Xelga [282]

Answer:

<em>50% decrease</em>

Step-by-step explanation:

<em>because half of 10 is 5</em>

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3 years ago
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A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national
GaryK [48]

Answer:

We fail to reject H0

Step-by-step explanation:

Null hypothesis : H0 : Plocal ≤ Pnational

Alternative hypothesis : H1 : Plocal > Pnational

Plocal = P1 = 65/100 = 0.65

Pnational = P2 = 61/100 = 0.61

n1 = 100 ; n2 = 100

Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04

The standard deviation : = sqrt(Variance)

Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2

Variance = 0.65(0.35)/100 + 0.61(0.39)/100

Variance = 0.002275 + 0.002379 = 0.004654

Standard deviation (s) = √(0.004654) = 0.06822

Z = m/s = 0.04 / 0.06822 = 0.586

Using the p-value from Z score calculator :

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4 0
3 years ago
Solve the problem.
Aleksandr [31]

Answer:

The given equation is

\theta = cot^{-1}(\frac{r}{h} )

Which is the definition of the angle of repose.

<em>Remember that the angle of repose refers to the angle between the horizontal plane and the inclined side of the cone formed when we allow to fall freely granular materials.</em>

We know by given

h=19\\r=\frac{d}{2}=\frac{30}{2}=15

Replacing these values, we have

\theta = cot^{-1}(\frac{15}{19} ) \approx 38.29 \°

Therefore, the angle of repose is 38.29° approximately.

Now, if the base diameter is 104 feet, the height would be

38.29 = cot^{-1}(\frac{52}{h}\\tan(38.29)=\frac{52}{h}\\ h=\frac{52}{0.79} \approx 65.8

Therefore, the height would be 65.8 feet, assuming that the angle of repose is the same.

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