If the sales tax is 7% and the purchase price is $161, what is the amount of tax?

Answers

Answer 1

Answer: $7 \% \ from \ 161 \ = \ (7)/(100) * 161 = ( 1127)/(100) = 11,27\ is \ amount \ of \ tax \$

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Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3

pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

Round 32.697 to the nearest tenth

Answers

32.7 is the answer because .697 rounds to .70 and you only use .7 because that is the tens place.

The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Find the integers.

Answers

larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x

(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13

find other
y+2=x
13+2=x
15=x

numbers are 13 and 15

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?The discriminant is equal to −16, which means the equation has no real number solutions.
The discriminant is equal to −16, which means the equation has two real number solutions.
The discriminant is equal to 24, which means the equation has no real number solutions.
The discriminant is equal to 24, which means the equation has two real number solutions.

Answers

For the equation:
-1=5 x^2 - 2 x
5 x^2 - 2 x + 1 = 0, then we substitute: a=5, b=-2, c =1
to discriminant formula: D= b^2 - 4 a c = (-2)^2 - 4 * 5 * 1 = 4 - 20 = - 16
Answer:
The discriminant is equal to -16 which means the equation has no real number solutions.

The correct option regarding the discriminant of the quadratic equation is given by:

The discriminant is equal to −16, which means the equation has no real number solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , and it is a perfect square, it has 2 rational solutions.

If $\mathbf{\Delta > 0}$ , and it is not a perfect square, it has 2 irrational solutions.

If $\mathbf{\Delta = 0}$ , it has 1 rational solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

In this problem, we have that:

5x² - 2x = -1

5x² - 2x + 1 = 0

Hence the coefficients are a = 5, b = -2 and c = 1, while the discriminant is given by:

$\Delta = b^2 - 4ac = (-2)^2 - 4(5)(1) = -16$

No real solutions, hence the first option is correct.

More can be learned about the discriminant of quadratic equations at brainly.com/question/19776811

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Solve the following inequality: 5x + 3 < 6x + 2

Answers

Which fraction converts to a repeating decimal number 1/12 7/8 14/25 17/20 6/10

Answers

The fraction converts a repeating decimal number is 1/12 is a repeating decimal.

What is fraction?

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Parts of a Fraction

All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.

The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.
The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.

Given:

1/12= 0.0833333333
7/8= 0.875
14/25= 0.56
17/20= 0.85
6/10=.6

As, we can see that the approximately every fraction is non repeating except 1/12

Learn more about fraction here:

brainly.com/question/10354322

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Hey there! :D

Let's try it out.

1/12= 0.0833333333

7/8= 0.875

14/25= 0.56

17/20= 0.85

6/10=.6

So, 1/12 is a repeating decimal.

I hope this helps!
~kaikers

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