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zaharov [31]
3 years ago
13

Zack bought a coat for $69.78. He paid with $100 bill and received $26.73 in change. How much was the sales tax?

Mathematics
2 answers:
strojnjashka [21]3 years ago
8 0
The answer is $3.49.

$100 - $69.78 = $30.22 - $26.73 = $3.49
Klio2033 [76]3 years ago
6 0
$3.49

Hopefully I helped!
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Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number
liberstina [14]

Answer:

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

Step-by-step explanation:

From the first equation:

20x - 80y = 100

20x = 100 + 80y

x = \frac{100 + 80y}{20}

x = 5 + 4y

Replacing on the second equation:

-14x + 56y = -70

-14(5 + 4y) + 56y = -70

-70 - 56y + 56y = -70

0 = 0

This means that the system has an infinite number of solutions, considering:

x = 5 + 4y

4y = x - 5

y = \frac{x - 5}{4}

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

8 0
3 years ago
What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?
const2013 [10]

Answer:

(7,6)

Step-by-step explanation:

Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the coordinates of the midpoint O of the hypotenuse AC:

x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6

So, O(7,6)

4 0
3 years ago
If ABC is 160°, what is DBC?
Monica [59]
The answer should be A 160
5 0
3 years ago
Which statements accuratley describe the function f(x)=3(16)^3/4x
Varvara68 [4.7K]

Answer:

line

x-intercept | 0

f-intercept | 0

normal vector | (-3072/sqrt(9437185), 1/sqrt(9437185))≈(-1., 0.000325521)

slope | 3072

curvature | 0

Step-by-step explanation:

7 0
3 years ago
If f(x) = -7x + 5x2 + 10, what does f(-2) equal?
aksik [14]

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

7 0
3 years ago
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