Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If Luca wants to leave a 16% tip on the total amount including the tax, how much should Luca pay?

                                                Question 1)

Answer:

The slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

Step-by-step Explanation

Given the points

Finding the slope between (-5, -20) and (9, 9)

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

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-20\right),\:\left(x_2,\:y_2\right)=\left(9,\:9\right)[/tex]

[tex]m=\frac{9-\left(-20\right)}{9-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{29}{14}[/tex]

Therefore, the slope between  (-5, -20) and (9, 9) is:

[tex]m=\frac{29}{14}[/tex]

                                        Question 2

Answer:

the slope between (18, -5) and (18, 20) is undefined.

Step-by-step Explanation

Given the points

As the x-values of the points are the same. It indicates that the given line is vertical.

Finding the slope between (18, -5) and (18, 20)

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [20 - (-5)] / [18 - 18]

               = [20+5] / [0]  

               = 25/0

               = ∞ or undefined

Thus, the slope between (18, -5) and (18, 20) is undefined. It indicates that the line is vertical.

Hence, the slope between (18, -5) and (18, 20) is undefined.

Answer:

he needs nine pages

Step-by-step explanation:

36 divided by 4 makes 9

Answer:

oh thats easy

Step-by-step explanation:

it really w

asy

Answer:

C.) Square root of 34

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 5^2 = c^2

9 + 25 = c^2

c^2 = 25 + 9

c^2 = 34

√c^2 = √34

Answer:

The answer is option 1.

Step-by-step explanation:

In order to solve x, you have to make x the subject, by multiplying each sides by 5, to get rid of 5 on the left side.

[tex] \frac{x}{5} = 8[/tex]

[tex] \frac{x}{5} \times 5 = 8 \times 5[/tex]

[tex]x = 40[/tex]

Given:

A straight-line graph  has gradient 4  and crosses the y axis at (0, −3).

To find:

The equation of the given graph.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope of the line and b is the y-intercept.

A straight-line graph  has gradient 4. It means the slope of the line is 4.

[tex]m=4[/tex]

Line crosses the y axis at (0, −3). So, y-intercept is -3.

[tex]b=-3[/tex]

Putting m=4 and b=-3 in (i), we get

[tex]y=(4)x+(-3)[/tex]

[tex]y=4x-3[/tex]

Therefore, the equation of the given line graph is [tex]y=4x-3[/tex].

Answer:

The class grew by 14.5%

Step-by-step explanation:

When you add 14.5% of 28 to the 28 you should get about 32. :)

Answer:

-2.5

Step-by-step explanation:

Using the sine rule, a/sinA = b/sinB.

So, sinB = bsinA/a

substituting sinA = -1, a = 10 and b = 4, we have

sinB = 10 × (-1)/4

= -10/4

= -5/2

= -2.5

Answer:

Factors for 44: 1, 2, 4, 11, 22, and 44. Factors for 66: 1, 2, 3, 6, 11, 22, 33, and 66.

Answer:

For 44 and 66 those factors look like this: Factors for 44: 1, 2, 4, 11, 22, and 44. Factors for 66: 1, 2, 3, 6, 11, 22, 33, and 6

Answer:

d.11-x<-18

put the value of x in inequality and identify.

Answer:

lol

Step-by-step explanation:

Yeah i have no clue but good luck

[tex]-3-4x\leq 21 \\~\\-3-4x+3\leq 21+3 \\~\\-4x \leq 24[/tex]

When you multiply both sides by a negative number, you have to flip the inequality.

[tex]-4x\cdot \left(-\dfrac{1}{4}\right) \geq24\cdot \left(-\dfrac{1}{4}\right) \\~\\x \geq-6[/tex]

You could also solve by doing this:

[tex]-4x \leq 24 \\~\\-4x +(4x-24) \leq 24 +(4x-24) \\~\\-24 \leq 4x \\~\\-6\leq x[/tex]

If -6 is less than or equal to x, then x is greather than or equal to  -6.

Answer:

96 cm²

Step-by-step explanation:

Area of a parallelogram A = bh where b = base = 12 cm and h = height = 8 cm.

So, A = 12 cm × 8 cm

A = 96 cm²

So, the area of the parallelogram with base 12 cm and height 8 cm is 96 cm².

Answer:

A

Step-by-step explanation:

Answer:

The answer is 33.

Step-by-step explanation:

4x^2 + 13 - 2y, x=3 y=8

In order to evaluate this, you just need to plug the x and y in the expression:

= 4(3)^2 + 13 - 2(8)

= 4(9) + 13 - 16

= 36 + 13 - 16

= 33

Answer:

y=12.4

Step-by-step explanation:

22/5 is 4.4

so the numbers in the bracket must equal to 4.4

so y is 12.4

Answer:

62/5 or 12 2/5

Step-by-step explanation:

22 = 5(y-8)

22 = 5y - 40

5y−40=22

Add 40 to both sides

5y−40+40=22+40

5y = 22+40

5y=62

Isolate the variable.

5y/5 = 62/5

Answer:

15,600 is how much he will make in a year.

Step-by-step explanation:

There are approximately 52 weeks in a year therefore, 300*52= 15,600

Answer:

49

Step-by-step explanation:

167 = 21 + (3x - 1)

167 = 20 + 3x

3x = 147

x = 49

Answer is 49

Step-by-step explanation:

167=(3x-1)+21(Exterior angle is equal to two opposite interior angle)

or,167=3x-1+21

or,167=3x+20

or,167-20=3x

or,147=3x

or,x=147/3

or,x=49

Answer:

The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.

One gallon is equivalent to 128 fluid ounces

3 gallons is equivalent to 3*128 fluid ounces

= 384 fluid ounces

One plastic cup can hold 12 guide ounces

So cups needed will be 384/12

32 cups

Mr. Cruz can completely fill 32 plastic cups with the water from the cooler.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

The 3-gallon water cooler contains 3 x 128 = 384 fluid ounces of water.

We can divide the total amount of water in the cooler by the amount of water each plastic cup can hold to find out how many cups can be completely filled:

384 fluid ounces / 12 fluid ounces/cup = 32 cups

Therefore, he can completely fill 32 plastic cups with the water from the cooler.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

m<9=130 it also equal to 180 so 130-180 makes m<4= 50

Answer:

Amanda's

Step-by-step explanation:

Given :

3/6 + 2/4

The L. C. M of 6 and 4 = 12

(6 + 6) / 12

12 / 12

= 1

Renne's result = 5/10

Amanda's result = 1 whole

Hence, Amanda's result makes more sense.

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

One foot would have 3 1/3 pieces (because 3 * 1/3 = 1) so that means 5 would have 15 pieces (because 3 * 5 = 15)

Answer:

the answer is B

Step-by-step explanation:

you multiply 4 by -5z and 2 and get -20z+8 then you subtract the -6 from 8 and get 2 so -20z+2 a is -20z-2 so its not equivalent but b equals -20z+2 so it's B

Let N be the number of stickers Carl have and K be the number of stickers he bought at Saturday.

[tex]N = K-9 +3[/tex]

[tex]N = K-6[/tex]

Step-by-step explanation:

Electric potential energy UE=Ke.RQqso UE∝R1

so to increase Ue by 16 times you gotta reduce R(distence) by 16 times