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soldi70 [24.7K]
3 years ago
6

Tiffani buys a new pair of shoes. She spends $81 including an 8% sales tax. What was the original price of the shoes to the near

est dollar?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

the original price of the shoes is $75

Step-by-step explanation:

x * 1.08 = 81

x = 81 / 1.08 = 75

75 * 1.08 = 81

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0
3 years ago
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Is 4 tons greater than 7,000
kherson [118]
YES 4 TON IS GREATER THAN 7,000
6 0
3 years ago
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-5w=7-4w+8<br>need help and need my work shown ​
Anestetic [448]

Answer:

w = -15

Step-by-step explanation:

-5w = 7 - 4w + 8

Grouping like terms together,

-5w+4w = 7+8

-w = 15

w = -15

6 0
3 years ago
Can somebody please help this is due very soon
joja [24]

Your answer is

  1.  Slope = -1.000/2.000 = -0.500
  2. x-intercept = 7/1 = 7.00000
  3. y-intercept = 7/2 = 3.50000

Step-by-step explanation:

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