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ratelena [41]
3 years ago
12

If a hat costs 15$ and the sales tax is 10% how much money do you need to buy the hat

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:

the answer would be 16.50

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Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

8 0
2 years ago
X^2+4x-1/(x+2)^2=0 solve for x
dalvyx [7]
<span>x^2+4x-1/(x+2)^2=0
x^2 + 4x - 1 = 0
</span>
\frac{x^2+10x-7}{x^2+10x+25} =0\\x^2+10x-7=0\\x= \frac{-b\pm\sqrt{b^2-4ac}}{2a};
where a = 1, b = 4 and c = -1

x=\frac{-4\pm\sqrt{4^2-(4\times1\times(-1)}}{2\times1}\\=\frac{-4\pm\sqrt{16+4}}{2}=\frac{-4\pm\sqrt{20}}{2}\\=\frac{-4\pm\sqrt{4\times5}}{2}=\frac{-4\pm2\sqrt{5}}{2}=-2\pm\sqrt{5}\\=-2+\sqrt{5}&#10; \ or \ -2-\sqrt{5}\\x=0.24 \ or \ x = -4.24
5 0
2 years ago
How many significant figures does the value 43.023 have?
Olin [163]

Answer:

It has 5

hope this helps :)

Step-by-step explanation:


4 0
3 years ago
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The functio
11111nata11111 [884]

Answer:

The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

Step-by-step explanation:

Key points:

  • Discount is subtracted from the regular price of an item.
  • Sales tax is added to the regular price of an item.

It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.

Two functions are provided are:

f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount

g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.

Compute the total amount a member pays for an item with a regular price of x dollars as follows:

T (x) = Discount × Sales Tax

       = 0.90 × 1.07 × <em>x</em>

       = 0.963<em>x</em>.

Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.

3 0
2 years ago
Given the function f(x)=x^2 and I= -3, which of the following represents a vertical shift
Anika [276]

Answer:

See below.

Step-by-step explanation:

You haven't supplied a list but one option could be  f(x) - l   or x^2 - l.

This represents a vertical shift of 3 units downwards.

3 0
2 years ago
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