Lesley and Enid left their waitress a 15% tip.
The tip was $10.25.
What was their total bill, not including the tip?

Answer: Choice D

(2,2) is the solution to line A, but not to line B

==========================================================

Explanation:

Let's find the equation of line A

First we need the slope

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

m = (6-0)/(0-3)

m = 6/(-3)

m = -2

Since the point (0,6) is on line A, we know b = 6 is the y intercept.

The equation of line A is y = -2x+6.

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

Let's find the equation for line B

So we need the slope

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

m = (5-0)/(5-0)

m = 5/5

m = 1

The y intercept is b = 0 since the line goes through (0,0)

The equation of line B is y = 5x+0 which is the same as y = 5x.

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

Our system of equations is

[tex]\begin{cases}y = -2x+6\\y = 5x\end{cases}[/tex]

We can see that plugging x = 0 into line A's equation leads to y = 6. So (0,6) is on line A. However, the point (0,6) is not on line B because plugging x = 0 leads to y = 0.

This allows us to rule out choices A and B.

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

Let's see what happens when we plug in x = 2 to line A

y = -2x+6

y = -2*2+6

y = -4+6

y = 2

The point (2,2) is on line A

Now let's do the same for line B

y = 5x

y = 5*2

y = 10

The point (2,10) is on line B meaning that (2,2) is not on line B.

We can rule out choice C and conclude that choice D is the final answer.

Side note: Choice D should read "(2,2) is a solution" instead of "(2,2) is the solution" since there are infinitely many solutions on any given line. So another solution for example would be (0,6).

Answer:

B. 279

Step-by-step explanation:

Answer:

9.49525

Step-by-step explanation:

You have the total and the percent so you are looking for the part. You can set up a proportion with 9.5 over 100 and x over 99.95. Then you multiply 9.5 times 99.95 to get 949.525 which then you divide by 100. So x is 9.49525

Answer:

False

Step-by-step explanation:

The slope of that line is -1/2

False

The slope of the line is actually -.05

I would have explained this further but u need it fast so..

Answer:

can you be more specific please.  

Step-by-step explanation:

Answer:

3/7 or .43

Step-by-step explanation:

1 goes in to 7, 7 times so all you have to do is 3/7

Answer:

Step-by-step explanation:

y=kx

7/4=1.75

6/4=1.5

The equation in the form y =kx will be as y = 7/4 x .

Proportional the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:;

y=k.x

For the given problem, y represents the cups of water needed for making x loaves of French bread.

We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;

7=k.4

Solving for k:

k = 7/4

The equation to model the problem;

y = 7/4 x

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

I think that it is 6 but i am uncertain.

Step-by-step explanation:

I AM UNSURE THOUGH

Answer:

x²-11x+24

(x -8) * (x -3) =0

x = 8 and x =3

Step-by-step explanation:

Answer:

the answer is  5/8, 65%, 2/3, 0.7

Step-by-step explanation:

Answer:

-92

Step-by-step explanation:

4a^2-2b^2+40 a=2. b=7

Fill in variables

4(2)^2-2(7)^2+40      a=2. b=7

8^2 - 14^2 + 40

64 - 196 +40 = -92

Answer:

He's definitely on the right track on saving money for his retirement. As the years move along, he can continue to save money in his savings account.

Step-by-step explanation:

Answer:

3x to the power of 3- 5x to the power of 2-16x+12

Answer:

5/8

Step-by-step explanation:

12/17 is 0.70

5/8 is 0.62

However, 12/17 had a lot more numbers than that so

TRUST ME I GOT EXCEPTED INTO HARVARD

Answer:

12/17 is greater

Step-by-step explanation:

12/17 is greater than 5/8 because to determine which fraction is greater you need to have the same denominator. To get the same denominator I multiplied 17 by 8 and 8 by 17. Since what you do the denominator you have to do the same to the numerator, you would multiply 12 by 8 and 5 by 17 which would lead you to get 12/17= 96/136 and 5/8= 85/136. So, 96/136 > 85/136.

Answer:

Step-by-step explanation:

So basically since she used 15 orange balloons she would have to use 10 green balloons

Answer:

1.67

Step-by-step explanation:

3.41

1.74

1.67

1. Make 1, 11 (make 4, 3)

2. Subtract 11 and 4, you get 7

3. Make 3, 13 (make 3,2)

4. Subtract 13 and 7, you get 6

5. Subtract 2 and 1, you get 1

6. You answer is 1.67

Answer:

About 21 houses in 7 days

Step-by-step explanation:

Answer: 123

Step-by-step explanation:

60+63=123

180-123=57

180-57=123

Answer:

123°

Step-by-step explanation:

Subtract the measures of the given interior angles from 180 to find the measure of the missing interior angle

180 - 60 - 63 = 57°

Subtract 57 from 180 to find the measure of the external angle/angle 1.

180 - 57 = 123°

There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number

Answer:

The mistake was converting the expresssion

Step-by-step explanation:

Answer: 40 tons

Step-by-step explanation:

One Ton= 2,000 lbs.

80,000/2,000= 40

Answer:

The correct answer is a.

Answer:

56

Step-by-step explanation:

Cube root of 175616 by prime factorization method is 56

Solution:

To find cube root of 175616 by prime factorization method

A number that must be multiplied by itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 175616:

\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7

Thus we get,

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}

3

175616

=

3

2×2×2×2×2×2×2×2×2×7×7×7

Make the groups of 3 of equal numbers

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}

3

175616

=

3

2×2×2

×

3

2×2×2×

×

3

2×2×2

×

3

7×7×7

So there are 4 equal groups. So from that group take one factor out

\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56

3

175616

=2×2×2×7=56

Thus Cube root of 175616 by prime factorization method is 56

please mark me as a brainlist

Answer:

15(iv) 68 units²

Step-by-step explanation:

Please see the attached picture for full solution. (Pictures 1 &2)

*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)

Answer:

the answer is A you match the shape up with the ABC one

Step-by-step explanation:

Answer:

  1100

  2200

Step-by-step explanation:

Since speed is constant, the distance is proportional to the time. We notice that the number in the second column is 1650/3 = 550 times the number in the first column, so the two missing numbers are ...

  2 × 550 = 1100

  4 × 550 = 2200

Answer:

1/3

Step-by-step explanation:

There are only six possible options and two that you want. You would get the fraction 2/6 which is equal to 1/3

Hope it helps! (:

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

Answer:

this is rational

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

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