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DENIUS [597]
3 years ago
6

A department store in your hometown charges 9.75% tax; the stores location in your cousins hometown only charges 7.75% tax. If a

shoppers pre tax receipt is between $11.57 and $81.43, write and graph a compound inequality that describes the differences in taxes paid for the two locations (to the nearest cent).
Mathematics
1 answer:
Elanso [62]3 years ago
6 0
The compound inequality would be
0.23≤x≤1.63.

The graph would have a number line marked at least from 0.23 to 1.63; both of these numbers would have a filled in circle over them, and the area of the line between them would be shaded.

We must find the amount of tax for each city and each purchase amount:
9.75%=9.75/100 = 0.0975
0.0975(11.57) = 1.13
0.0975(81.43) = 7.94

7.75% = 7.75/100 = 0.0775
0.0775(11.57) = 0.90
0.0775(81.43) = 6.31

To find the differences in the tax amounts, we subtract:
1.13 - 0.90 = 0.23
7.94 - 6.31 = 1.63
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Pls help sixowiskosixo
erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

y = ax^2 + bx + c

The given quadratic equation is 24x^2 + 2x = 15

Let's rearrange the equation

24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0

This implies that

  • a = 24
  • b = 2
  • c = -15

The equation or formula of quadratic formula is given as

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}

We can substitute the values into the equation and solve

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

#SPJ1

7 0
2 years ago
The sum of three number is -44.85. One of the numbers is 24.6. The other two number are equal to each other. What is the value o
tiny-mole [99]
Let the number be x. The other number is also x.

Given the first number is 24.6 and sum is -44.85
24.6 + x + x = -44.85

Combine like terms:
2x + 24.6 = -44.85

Add 24.6 on both sides:
2x = -44.85 - 24.6

Evaluate Right Hand Side:
2x = -69.45

Divide both sides by 2:
x =- 34.725

Answer: The two numbers are both  -34.725.
7 0
4 years ago
Which of the following is a proportion?
poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ \frac{4}{6}=\frac{8}{12}

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of  \frac{8/2}{12/2} = \frac{4}{6} , \frac{4/2}{6/2}= \frac{2}{3}

Simplest form of \frac{4}{6} = \frac{2}{3}

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0
3 years ago
Which statement is true?
Greeley [361]

Answer:

Step-by-step explanation:

A The axis of symmetry of a parabola will always pass through the vertex.   TRUE!

B The axis of symmetry of a parabola will sometimes pass through the vertex.  FALSE!

C The axis of symmetry of a parabola will never pass through the vertex.  FALSE

4 0
3 years ago
Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.
Dafna11 [192]

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

.....................

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.




3 0
3 years ago
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