10) You and your friends order a meal for $116.29. How much
tip should you leave if you want to leave a 12% tip?
11) Originally priced at $19.59, a video game was found on a
62% off rack. What is the sale price of the video game?
12) A CD is marked with a sale sticker saying it is 56% off. The
original price is $10.17. What is the sale price?

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

------------------------------

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

Answer: About 50 cents 0.50

Step-by-step explanation: 2.99 / 6 = 0.50

Answer:

         _

0.4983

if you want a more simple answer then you could probably round it to about 50 cents each i guess.

Answer:

8928

Step-by-step explanation:

If 4% is 374, what is 1%? so 374/4

374 = 4%

93 = 1%

Now if 4% is defective, how many is not defective?

100% - 4% = 96%

If 1% is 93 then what is 100%?

8928 = 96%

There were 8,928 labels are not defective.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that labels are created using a printing press. Four percent of the labels that are created are inaccurate.

Let the total number of labels would be x

As per the question, 372 labels were defective.

So 4% of x = 372

⇒ 4x/100 = 372

⇒ x = 37,200/4

⇒ x = 9,300

Since 4% is defective labels,

So labels are not defective: 100% - 4% = 96%

Now, we have to calculate the evaluation of 96% of 9,300.

⇒ (96/100)9,300

⇒ (0.96)9,300

⇒ 8,928

Therefore, there were 8,928 labels are not defective.

Learn more about the percentages here:

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Answer:

88 degrees

Step-by-step explanation:

First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).

Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.

We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.

Answer: Jas is 9, and Sandeep is 11.

Step-by-step explanation: 9 + 11 = 20

Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

Hope I helped :)

Answer:

The answer is below

Step-by-step explanation:

Let's work it out slowly

A)

$18.79 + $2.11 - $1.92 + $17.28

- 18.79 + 2.11 + 17.28 = 38.18

- 38.18 - 1.92 = 36.26

Ans = $36.26

B)

$7.45 + $24.45 + $74.17 + $76.52

- 7.45 + 24.45 = 31.9

- 74.17 + 76.52 = 150.69

- 150.69 + 31.9 = 182.59

Ans = $182.59

C) $98.45 - $10.63 + $2.82 - $20.26

- 98.45 - 10.63 - 20.26 = 67.56

- 67.56 + 2.82 = 70.38

Ans = $70.38

Hope you understand

:-)

Answer:

Slope= 2/3, Equation= y=2/3x+2

Step-by-step explanation:

Answer:

1. -12     2. you get -      3.  -6

Step-by-step explanation:

Well hope that makes sense. Please heart.

12 plus -12 is 0. -3 plus 2 is -1 or -.      -4 plus -2 is -6.

You add -12 to 12 to make it zero.

If you have - - -  and add  +  +  you get  -1.

If you have - - - -  and add - -  you get -6.

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

Look at the graph I added here

Answer:

17.5

Step-by-step explanation:

Answer:

6x+2

Step-by-step explanation:

4(x-3)+2(x+5)

4x-12+2x+10| Distrubutitive Property

6x-2 | Combine like terms

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

Answer:

A goes through the points

Step-by-step explanation:

Answer:

It could by any 2 numbers that satisfy a^2+b^2= 20.

One example would be 4 and 2:

4^2+2^2=16+4=20

I hope this helped.

Answer:

The first step I would take is subtract 12 from both sides.

Step-by-step explanation:

i hope this helps!

Answer:

The answer is 6.04166666667. The answer in a faction is 145/24.

Step-by-step explanation:

I hope this help.

Answer:

Step-by-step explanation:

Clone = original * scale factor

Clone size

Converted to inches

Answer:

536  Gallons

Step-by-step explanation:

If you multiply 33.5 times 16 you will get your answer

Please put brainliest.

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

Answer:

K = v /f − c

Step-by-step explanation:

Answer:

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

They represent the rise and run of the graph.  

The difference between the x-axis of the points represents the" run" of the graph( or how  important you should run along x-axis to get to the coming point.)  The difference between the y- axis of of the points represents the" rise" of the graph( or how  important you should rise up the y- x is to get to the coming point).  

The  rate of rise to run is the slope of the graph, which tells us how  numerous  way should we take on the y- axis for every step we move forward on the x-axis.

To know more about slope of the graph visit:

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Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly