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ddd [48]
3 years ago
7

Zoe went on a shopping trip to Fairfax. She purchased a barbecue grill originally priced at $600 but discounted 50%. If sales ta

x in Fairfax is 15%, what was the total cost?
Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

The total cost is $345

Step-by-step explanation:

Zoe  purchased a barbecue grill originally priced at $600

Discount % = 50%

So, cost after discount = 600-50\%(600)

Cost after discount =300

Sales tax in Fairfax is 15%

So, cost including tax = 300+0.15(300)

Cost including tax = 345

Hence The total cost is $345

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Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting
Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

  1. 1+3+ 6,
  2. 1+ 4+ 5,
  3. 2+2+6,
  4. 2+3+5,
  5. 2 + 4 + 4,
  6. 3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

  1. 1+3+ 6 : 6 permutations
  2. 1+ 4+ 5 : 6 permutations
  3. 2+2+6: 3 permutations
  4. 2+3+5: 6 permutations
  5. 2 + 4 + 4: 3 permutations
  6. 3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

  1. 1 + 2 + 6: 6 permutations
  2. 1+3+5: 6 permutations
  3. 1+4+4: 3 permutations
  4. 2+ 3+ 4: 6 permutations
  5. 2+2 +5: 3 permutations
  6. 3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

5 0
3 years ago
Katie is making covers for metal nameplates. She needs to know how much plastic, at minimum, she’ll need to fully cover 30 namep
grigory [225]
1404 is the surface area of 30 nameplates.
8 0
3 years ago
I need 3 questions answered please.​
kakasveta [241]

Answer:

3) \:  \: 113 {ft}^{2}

4) \: false

5) \: 70 {ft}^{2}

Step-by-step explanation:

3) Area of a circle is

\pi \times  {r}^{2}

Where r = 6

Thus,

area =   \frac{22}{7}  \times  {6}^{2}

area =  \frac{22}{7}  \times 36

area = 3.143 \times 36

area = 113 {ft}^{2} \: (nearest \: whole \: number)

4) False

Area of a circle is measured by the formula below:

area = \pi \times  {r}^{2}

5) The formula for calculating the area of a rectangle is given thus:

area \: of \: a \: rectangle = l \times w

Where, l = 10ft; w = 7ft

area = 10ft \times 7ft = 70 {ft}^{2}

8 0
3 years ago
In a recent survey, 40 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of twelve
worty [1.4K]

Answer:

4 people name chocolate

Step-by-step explanation:

Let's first understand the given information.

The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.

Dividing the total of people (100) by the ones who name chocolate (40) then we have:

100/40 = 2.5

Through the above equation we are actually expressing the following:

Total people = 2.5 * (people who name chocolate flavor)

Using this equation if we have now 12 people:

12 = 2.5 * (people who name chocolate flavor)

12/2.5 = (people who name chocolate flavor)

4.8 = people who chose chocolate flavor

Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.

5 0
3 years ago
A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per
Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by h(t) = -16\cdot t^{2}+12\cdot t +10, where h(t) is the height in feet and t, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

-16\cdot t^{2}+12\cdot t +10 = 10

-16\cdot t^{2}+12\cdot t = 0

Then, we simplify the expression by algebraic means:

-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0

Roots of the polynomial are, respectively:

t = 0\,s\,\lor \,t = 0.75\,s

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0
2 years ago
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