Ellen ate dinner at a restaurant. The bill came to $63. If she left a 15% tip, what was the total cost of her dinner ? Round your answer to the nearest dollar : $

Given:

[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]

To verify:

[tex]x+y=y+x[/tex]

Solution:

We need to verify,

[tex]x+y=y+x[/tex]

Taking left hand side, we get

[tex]LHS=x+y[/tex]

After substituting the values, we get

[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]

[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]

[tex]LHS=\dfrac{-40-27}{45}[/tex]

[tex]LHS=\dfrac{-67}{45}[/tex]

Now,

Taking right hand side, we get

[tex]RHS=y+x[/tex]

After substituting the values, we get

[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]

[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]

[tex]RHS=\dfrac{-27-40}{45}[/tex]

[tex]RHS=\dfrac{-67}{45}[/tex]

Clearly,

[tex]LHS=RHS[/tex]

Hence verified.

Answer:

0

Step-by-step explanation:

Using PEMDAS you complete the operation. Hope it helps :)

Answer:

Song =$1.50 Album =$12.99

Step-by-step explanation:

Lets assume Individual songs = x

albums=y

6x + y = 21.99-------- y= 21.99- 6x

4x + 3y= 44.97

Replace y in the second equation

4x+ 3(21.99-6x) = 44.97

4x +65.97- 18x = 44.97

14x= 21

x = 1.50

y= 21.99- (6*1.50)

= 12.99

Answer:

idek that looks like sum top tier math problem figure it out

Step-by-step explanation:

figure it out

Answer:

-2x^2+4x+4= -4x+ 4x+4= 4

so the answer is 4

done

Answer:

y = 3x + 1

Step-by-step explanation:

the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y

m = -3/-1 = 3

two parallel lines have the same slope, so also the line that we are a searching has m=3

now we can use this formula

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point

y-(-2) = 3 (x-(-1)

y+2 = 3x + 3

y = 3x + 3-2

y = 3x + 1

Answer:

Step-by-step explanation:

A cash book is where you keep all of receipts and disbursements and also the bank deposits and withdrawals. when that's done, entries inside of the cashbook are added to the general ledge.

Answer:

d

Step-by-step explanation:

it's the only one that isn't a trend

Answer:

A.

Step-by-step explanation:

It has a curve in it and linear is just like a strait line.

Answer:

C. c+0.15c

Step-by-step explanation:

Raising her rate by 15% is equivalent to adding 15% of what she charged before to the original price.

Answer:

2(8x+3y)*squared*

Answer: $300 per month (assumed)

Step-by-step explanation:

As figures are lacking in this question, I will use assumed figures and you can use it as a reference.

Assume Penelope had been tutoring for 60 hours a month and her hourly rate was $10 originally.

If she reduces this time to half, the amount of hours she begins to tutor is:

= 60 hours / 2

= 30 hours

At a rate of $10 an hour, her monthly income becomes:

= 10 * 30

= $300 per month

Answer:

Future Value= 8,927

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 7,700

Growth rate (g)= 3%

Number of periods (n)= 5 years

To calculate the future value (FV) of the population after 5 years, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 7,700*(1.03^5)

FV= 8,927

Given:

The function is:

[tex]y=-(2x-4)(x-2)[/tex]

To find:

The x-intercepts and zeros of the given function.

Solution:

We have,

[tex]y=-(2x-4)(x-2)[/tex]

For x-intercepts, [tex]y=0[/tex].

[tex]-(2x-4)(x-2)=0[/tex]

[tex](2x-4)(x-2)=0[/tex]

Using zero product property, we get

[tex](2x-4)=0[/tex] and [tex](x-2)=0[/tex]

[tex]2x=4[/tex] and [tex]x=2[/tex]

[tex]x=\dfrac{4}{2}[/tex] and [tex]x=2[/tex]

[tex]x=2[/tex] and [tex]x=2[/tex]

The given function has two equal zeroes or x-intercept, i.e., [tex]x=2[/tex].

Therefore, the zeroes are 2 and 2.

Note: All options are incorrect.

Answer:

about 16.571

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

Step-by-step explanation:

I think it's 8 down again.

And 7 down.

8•7 = 56

• = Multiplication

Answer:

-31

Step-by-step explanation:

-15-9+(-7)

-15-9-7

-24-7

-31

Answer:

Is D

Step-by-step explanation:

Hope it helps you its -1

Answer:

Step-by-step explanation:

4/5 x 10/1= 40/5

40 divided by 5 equals 8

The answer is 8

Answer:

Probability(Not red) = 11 / 15

Step-by-step explanation:

Given:

Outcomes;

Red = 8

Blue = 7

Green = 9

Yellow = 6

Find:

Probability(Not red)

Computation:

Probability(Not red) = 1 - Probability(red)

Probability(Not red) = 1 - [Number of red/ Total]

Probability(Not red) = 1 - [8/(8+7+9+6)]

Probability(Not red) = 1 - [8/30]

Probability(Not red) = 1 - [4/15]

By taking LCM

Probability(Not red) = (15 - 4) / 15

Probability(Not red) = 11 / 15

Answer:

a

Step-by-step explanation:

Answer:

The answer is 4 cm

Step-by-step explanation:

Volume of the triangular prism = 544 m³

height of the prism (h) = 17 m

Also

Volume of the prism = Area of base * height

544 = Area of base * 17

Area of base = 544 / 17

Area of base = 32 m²

Now

Base of the triangle (b) = 16 m

Area of the triangle = 32 m³

height (h) = ?

We know

Area of triangle = 1/2 * b * h

32 = 1/2 * 16 * height

32 * 2 / 16 = height

height of the triangle = 4 m

Hope it will help :)❤

Answer:

A is the answer they are all possible answers but the answer a is the best

Step-by-step explanation:

Answer:

All 3 of them

Step-by-step explanation:

A  B and C are correct

Answer:

its pr

Step-by-step explanation:

because im smart

Answer:

Step-by-step explanation:

First answer A. Answer A is not even correct. Parallel are two or more lines that NEVER cross

Answer B is also not correct. Line segments are a line of specific length. These are two LINES. You can tell by the arrows on the edge of each line.

Both C and D can be correct. But the answer would be D. Here is why

Intersecting lines are two or more lines that cross. Yes these lines are crossing by perpendicular lines also cross. The difference is, intersecting lines can cross at any angle. Perpendicular lines have to cross at 90 degrees making 4 right corners.

Answer:

Area of the plot= 24*12= 288

Area of smaller section= 20*8=160

For Brick Path= 288-160= 128

Hope it helps you.

Answer:

B- y=[tex]\frac{1}{4}[/tex]x-2

Step-by-step explanation:

To look at the slope you can count over four and then up one and its at the next point.

Also, the place on the y-axis is at -2

So, b makes the most since :)

Hope this helps :) (if it does, brainliest??)

Answer:

Answer is below

Step-by-step explanation:

16ef³÷8e²f=[tex]\frac{2f^{2}}{e}[/tex]

[tex]\frac{24m^{2} n^{3} }{2mn} = 12m n^{2}[/tex]

[tex]\frac{2k^{3} +k}{4k} =\frac{1}{2} k^{2} +\frac{1}{4}[/tex]

A . One solution

B . infinite solution

C . infinite solution

D . no solution

_________________________________

Thus the correct answer is option A .

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]