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MAXImum [283]
1 year ago
10

Nathan bought a wallet for 5% off its full price. What was the full produce of the wallet if Nathan paid 17.67 before sales tax

A.18.60 B.22.67 C. 17.72 D. 19.53
Mathematics
2 answers:
AfilCa [17]1 year ago
6 0
A. 18.60, because you multiply 18.6 by .05 to get .93, and then subtract .93 from 18.6 to get 17.67.
erastovalidia [21]1 year ago
3 0

Answer:

Option A is correct.

Step-by-step explanation:

Let the full price of the wallet be represented by = x

Total amount that Nathan paid for the wallet = $17.67

Discount percentage = 5% or 0.05 = 0.05x (5% of full price)

So, equation becomes: full price - discount price = 17.67

x-0.05x=17.67

0.95x=17.67

x = $18.60

Therefore, the full price of the wallet is $18.60.

We can also check this by taking out 5% of 18.60

0.05\times18.60=0.93

And18.60-0.93=17.67

So, option A is correct.

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Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 30.05 inches

           \sigma   = standard deviation = 0.2 inches

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So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches)  = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z < 3) = 0.99865

 P(X bar <= 30.25) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches)  = 0.99865 - 0.97725

                                                                                       = 0.0214

                                       

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2 years ago
Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser. They all used the same recipe, using C cups
8090 [49]

Answer:

The expression is C/20 cups of flour in one cake

Step-by-step explanation:

* Lets explain how to solve the problem

- There are 10 students

- Each one made 2 chocolate cakes

- They all used the same recipe

- The total amount of flour is C cups

* Lets change these information to equation

∵ There are 10 students

∵ Each student made 2 cakes

∴ The total number of cakes = 10 × 2 = 20 cakes

∵ The total amount of flour for the twenty cakes is C cups

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  of flour by the total number of the cakes

∴ The amount of flour in each cake = C/20

* The expression is C/20 cups of flour in one cake

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Molly made 3600 \text{ mL}3600 mL3600, space, m, L of tea for a party, and she served the tea divided equally in 121212 cups.
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Answer:

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Step-by-step explanation:

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2 years ago
If value of cos330° is √3/2 then find tan165°.
Umnica [9.8K]

Answer:

-2+sqrt(3)

Step-by-step explanation:

When cos(angle)=sqrt(3)/2

then sin(of that angle)= + or - 1/2 depending on the quadrant

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Formula for tan(x/2)=(1-cos(x))/sin(x)

Therefore  tan(165)=tan(330/2)=(1-cos(330))/sin(330)=(1-sqrt(3)/2)/(-1/2)

Multiply top and bottom by 2 to get

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\bf \blue{ANSWER}

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