Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Answer : x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Explanation :

(3x^5-12x^4+12x^3+30x^2-39x-42)/3 = x^5 - 4x^4 +4x^3 + 10x^2 - 13x - 14

Answer:

(-1,-2, -3, -4)

Step-by-step explanation:

-15 < 3n <6

-15 < 3 (-1,-2, -3, -4) <6

3 • -1 = -3

3 • -2 = -6

3 • -3= - 9

3 • -4 = -12

so all these answer still make -15 the lowest value and 6 the highest value.

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

Answer:

$5,030.40

Step-by-step explanation:

The balance outstanding at the end of any month is the due amount after adjusting for interest and loan repayment amount. The amount outstanding can be calculated as:

First month

Due amount = $6,000

Interest at 2% = $6,000*2% = $120

Loan repayment = $600

Reduction in balance = $600 - $120 = $480

Balance remaining = $6,000 - $480 = $5,520

Second month

Due amount = $5,520

Interest at 2% = $5,520*2% = $110.4

Loan repayment = $600

Reduction in balance = $600 - $110.4 = $489.60

Balance remaining = $5,520 - $489.60 = $5030.40

Hence, the balance outstanding at the end of month 2 is $5,030.40

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Answer:

A.$6.44

B.$8.05

Step-by-step explanation:

A.$6.90/15%=$0.46-$6.90=$6.44

B.$6.44*25%=$1.61+$6.44=$8.05

Answer:

answer for 6.90/15%= 6

answer for 25%= 7.5

Step-by-step explanation: These are answer is all correct there are no mistakes

Answer:

I think its D but I'm not that sure about it.

Step-by-step explanation:

Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.

Answer:

A)

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, =  10/6 = 5/3=1.67 (approx)

Since, >

Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater

(I finished the quiz and got it correct, it is A.)

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

Learn more here: https://brainly.com/question/18088242

Answer:

x=14 y=37

Step-by-step explanation:

Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

Answer:

A

Step-by-step explanation:

slope is (y2-y1)/(x2-x1)

anyhow that comes out to -3/2

the only place that actually applies is in A

Answer:

A

Step-by-step explanation:

6=-3/2×-2+3

6=3+3

6=6

-3=-3/2×4 + 3

-3=-6+3

-3=-3

Answer:

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

use this formula if you're having two points or a graph

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

Step-by-step explanation:

I dont know the answer exactly but to find the greatest common factor you have to find out like the numbers that go into the timetable your talking about like e.g a factor of 18 would be 6,3,2 etc. once you have done that between both of them then you have to find the same numbers between them. and that's the answer. hope it helped I'm not exactly good at explaining

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2

Answer:

104

Step-by-step explanation:

13x8=104

Answer:

Step-by-step explanation:

Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question

Each pair of alternate interior angles is congruent (think it should be are congruent).

Each pair of corresponding angles is congruent

Answer:

Undifined

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3