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Nostrana [21]
3 years ago
8

While on vacation in Hillsboro, Diane went out for a dinner that cost $20. If sales tax in Hillsboro is 5% and Diane left a 20%

tip on $20, what was the total cost of her meal?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

$25.20

Step-by-step explanation:

-If you add up the tax= 25%

-now multiply 1.25(you put 1.25 instead of 1 because it makes it easier than adding it later on and since you already have 100%, just add the 25% and convert it to a decimal)and $20

=25.20

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A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
Alekssandra [29.7K]
Answer: option d. C (0,3), D (0,5).

Justification:

1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.

2) The y-coordinates of the  vertices A and B are also shown in the diagrama. They  are equal to 3 and 5 respectively.

3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.

That distance is 4, so the line may be y = - 7 or y = 0.

4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.

5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.



3 0
3 years ago
Read 2 more answers
What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
What is the total volume of the solid?
matrenka [14]

Answer:3028

Step-by-step explanation:

3 0
3 years ago
A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?
Harlamova29_29 [7]
A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.
6 0
3 years ago
Read 2 more answers
(4 - 10) - ( 8 ÷ ( -2))
NeTakaya
The answer would be -2

(4-10)-(8 ÷(-2))

(-6)-(-4)

-6+4

-2
5 0
3 years ago
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