At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be, in dollars and cents, on a $66 meal?

Set denominator to zero and solve for x.

x^2 - x - 12 = 0

Factor.

(x - 4)(x + 3) = 0

Solve each factor for x.

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Answer:

The domain is ALL REAL NUMBERS except for x = 4 and x = -3.

Using an exponential function, it is found that the city will be half populated in 9 months.

The population of Fantasy City doubles each month, hence, after t months, the population is given by:

[tex]P(t) = P(0)2^{t}[/tex]

Fully populated in 10 months, hence, the full population is:

[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]

Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:

[tex]P(t) = P(0)2^{t}[/tex]

[tex]512P(0) = P(0)2^{t}[/tex]

[tex]2^t = 512[/tex]

[tex]2^t = 2^9[/tex]

[tex]t = 9[/tex]

The city will be half populated in 9 months.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936

Answer:

5x + 3y

Step-by-step explanation:

Combine Like terms: 2x + 3x = 5x

                                   5x + (5y - 2y) = 3y

                                    Ans: 5x + 3y

Answer:

n is 113

Step-by-step explanation:

Is an isosceles triangle so the base angles are equal

therefor angles sum up to 180

46 + x + x = 180

46 + 2x = 180

2x = 180 - 46

2x = 134

x = 67

now to find n

the sum of angles on a straight line equals 180

n + x = 180

n + 67 = 180

n = 180 - 67

n= 113

Answer:

the base angle of an isosceles triangle are equal

let the base angle be y°

46° + y° + y° = 180°(sum of angles in a ∆)

46° + 2y° = 180°

2y° = 180° - 46°

2y° = 134°

y° = 134/2

y°=67°

n+y=180°[sum of angles on a straight line]

n+67=180°

n=180-67

n=113°

Answer:

Step-by-step explanation:

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

Answer:

Slope is 4.8

Step-by-step explanation:

[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]

Answer: The Answer is 4.8

Answer:

X=2

Step-by-step explanation:

Triangle

3x+18

Rectangle

6x+12

Same perimeter:

3x+18=6x+12             //-12

3x+6=6x                   //-3x

6=3x                         //:3

2=x

Answer:

x = 2

Step-by-step explanation:

Perimeter of triangle = a + b + c

Perimeter of rectangle = 2(l + b)

=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)

=> 3x + 18 = 2(3x + 6)

=> 3x + 18 = 6x + 12

=> 3x - 6x = 12 - 18

=> -3x = -6

=> x = -6/-3

=> x = 2

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

Answer:

don't know

Step-by-step explanation:

Answer:

i think the answer would be 20

Answer:

1cy

Step-by-step explanation:

c(8)+4y=12

8c+4y=12

12cy /12cy=12 /12cy

1cy

Answer:

i think C. 0.06 is answer

Step-by-step explanation:

6% = 6/100 = 0.06

[tex]6\% \\ = \frac{6}{100} \\ = 0.06[/tex]

Answer:

C) 0.06

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

$4.32

Step-by-step explanation:

If you are splitting it evenly, just divide 12.96 by 3

12.96 / 3 = $4.32

[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]

Answer:

y=-x-1

Step-by-step explanation:

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

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

Answer:

I think option a k.9

is correct

Answer:

1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general

Step-by-step explanation:

Answer: $238

Step-by-step explanation:

120/6 = 20 shirts for $7

680 / 20 = 34 lots of shirts costing $7

the cost = 34 x 7 = $238

Answer:

238$

Step-by-step explanation:

680*6=4080

this is how many buttons used

4080/120=34

this is how many boxes of buttons

34*7=238

this is the amount

Answer:

$88.81

Step-by-step explanation:

to find tip, multiply 77.23 and .15 to get $11.58

total cost = meal + tip

total cost = 77.23 + 11.58 which equals $88.81

Answer:

Step-by-step explanation:

1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³

The cost increases by $1.50 for each additional toothbrush made.

Answer:

D.payment history

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

288 cups did this before

Answer:

$ 12600

Step-by-step explanation:

According to the question, you have to find the simple interest that Devon earn after 2 years,

You can use this formula to find that.

Here,

P = principal ( $ 900)

r = rate ( 7%)

t = time ( 2 years)

Let us solve now.

I = p × r × t

 = $ 900 × 7% × 2 years

 = 6300 × 2

 = $ 12600

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

Answer:

135.5-8.50=127

127/31.75=4

4 friends or your self and 3 friends

Hope This Helps!!!

Answer:

Equation:

31.75x + 8.50 = 135.50

Answer:

x = 4

Step-by-step explanation:

31.75x + 8.5 = 135.5

31.75x = 135.5 - 8.5

31.75x = 127

x = 127/31.75

x = 4

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

Answer:

You can use the method of substitution.

Let the advance and same-day tickets be x and y respectively.

x + y = $70 ---> (1)

25x + 35y = $2050 ---> (2)

From Statement (1):

Let (1) × 25

25x + 25y = $1750

10y = $2050 - $1750

      = $300

y = $300 ÷ 10

  = $30 ---> (3)

From Statement (3):

Substitute (3) into (1)

x + $30 = $70

x = $70 - $30

  = $40

Advance ticket: $40

Same-day ticket: $30

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)