20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.

Answers

Answer 1

Answer:

a)E=.05t +34

b)$54

c)$600

Step-by-step explanation:

a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"

he earns an extra $34 a night of work. --> this is the constant

E= --> the total earned that night

E=.05t +34

b) simply plug in the total tip into the equation

E=.05(400) + 34

E=$54

--> he earned $54 that night

c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y

we find t, which is tip the restaurant was given

--> 64 = .05t +34

-34. -34

30= .05t ---> divide by .05 each side

t= $600

the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work

hoped this helped:)


Related Questions

52% of what number is 45? (Round to the nearest whole number)

Answers

answer: 23

explanation: move the decimal point over 2 to make it 0.52 then multiply by 45 to get 52% of 45. it’s 23.4, rounded to the nearest whole number is 23.

Write an equation of the line that passes through the given points in any form.

Answers

Answer:

[tex]y=\frac{2}{3} x+1[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).

This gives us a slope of [tex]\frac{2}{3}[/tex].

The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

Factor completely 3x − 12.

Answers

Answer:

-12

Step-by-step explanation:

...do you want expl?

Your answer is: 3x - 12

Hope this helps!! Happy holidays :)

* What is the sum? Complete the equation
-3 3/4 + 1/2

Answers

Answer:

-3 1/4

Step-by-step explanation:

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

5 and 6             Your Answer is (5,8)

Hope It Helped :)

What is the least common multiple (LCM) of 3 and 5?

Answers

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

(-8,1); m=6 equation of line in point slope form

Answers

Answer:

Point-slope form

y-3=6(x-8)

Answer this question and get it right I will mark right one Brainliest
I am thinking of a number from 1-10 what is it ?

Answers

Answer:

6

Step-by-step explanation:

6 is the most common lol

Answer:

I'll say 5

Step-by-step explanation:

Hoped this helped!

In the Diagram in the show your work area, what is the value of x?
Show Your Work someone help

Answers

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[tex] - 1 + 14x = 12x + 17[/tex]

[tex]14x - 1 = 12x + 17[/tex]

Add sides 1

[tex]14x - 1 + 1 =12x + 17 + 1[/tex]

[tex]14x = 12x + 18[/tex]

Subtract sides 12x

[tex] - 12x + 14x = - 12x + 12x + 18 \\ [/tex]

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

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CHECK :

[tex]14(9) - 1 = 12(9) + 17[/tex]

[tex]126 - 1 = 108 + 17[/tex]

[tex]125 = 125[/tex]

Thus the solution is correct .

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If (x^2 – 4) ÷ (x + 2) = x -2, which polynomial should fill in the blank below?
(x + 2) × ____= x^2 - 4
O x² – 4
O x-2
O x +2
O x² – 2​

Answers

Answer:

x - 2

Step-by-step explanation:

(x + 2)(x - 2) = x^2 - 4

Una embarcación tenía 120 tripulantes al naufragar parece el 30% los sobrevivientes el 25% son casados¿ Cuántos de los sobrevivientes son solteros?
Ayudenme rápido plis

Answers

Answer:

Solteros= 27

Step-by-step explanation:

Entiendo que de los 120 tripulantes, sobrevivió el 30%. Y de los sobrevivientes, 25% son casados.

Primero, debemos calcular la cantidad de sobrevivientes:

Sobrevivientes= 120*0.3= 36

Ahora la cantidad de casados, y por diferencia los solteros:

Casados= 36*0.25= 9

Solteros= 36 - 9

Solteros= 27

You can buy 1 bunch of grapes for $2. How many can you buy with $18?

Answers

Answer:

9

Step-by-step explanation:

What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?​

Answers

Answer:

Equation: y-5=8(x+4)

Step-by-step explanation:

Point-slope form is y-y1=m(x-x1)

Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation

y-5=8(x+4) is the answer

what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2

Answers

Answer:

C. 4

Step-by-step explanation:

The formula of slopes is: y2 - y1/x2 - x1

m = y2 - y1/x2 - x1

m = 15 - 7/5 - 3

m = 8/2

m = 4/1

m = 4

The slope of the line through the points (3,7) and (5,15) is  4 .

What is slope of line passing through two points ?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Δy =  change in y coordinate  = y2 - y1

Δx = change in x coordinate = x2 - x1

m = Δy/Δx

where,

m is the slope  

According to the question

Points (3,7) and (5,15)

therefore,

(x1,y1) =  (3,7)

(x2,y2) =  (5,15)

Now ,

The slope of the line  

Using slope formula

m = Δy/Δx

Δy = y2 - y1  

Δy = 15 - 7

Δy = 8

Δx =  = x2 - x1

Δx = 5 - 3  

Δx = 2

Therefore,

m = [tex]\frac{8}{2}[/tex]

m = 4

Hence, the slope of the line through the points (3,7) and (5,15) is  4 .

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P is a odd number
Explain why p^2+1 is always even

Answers

Answer/Step-by-step explanation:

Whenever a negative number is squared it is equal to the expression -a x -a = +a. In this expression any negative number multiplied an even amount of time with all numbers being negative will be a positive product.

Answer:

P^2+1 even because

Step-by-step explanation:

P is an odd number

Any odd number squared is odd

Therefore,P^2+1 is odd

Any odd number= because odd odd =even

Be=P^2+1 is odd odd =even

... P^2+1 = even

True or false Every relation that is linear, must be a function?

Answers

Answer: False

Step-by-step explanation: Let's review the idea of graphs.

For a graph to be linear, it must be a straight line.

To determine whether a given graph is a function,

we use the vertical line test.

The vertical line test tells us that if a vertical line is drawn on a graph,

and hits the graph in more than one place, the graph is not a function.

In fact, this definition tells us the only type of linear graph

that will fail the vertical line test, and that's a vertical line.

Any vertical line that we draw will be both linear and not a function.

One possible graph could be x = 2.

Any vertical line will fit this description.

Luci cuts a board that is
5
7
yard long into pieces that are
5
14
yard long. How many pieces does she cut?

Answers

Depends on how long the board itself is. Give me the original board dimensions.

Answer:

I think the answer should be two and a half pieces

Alex ran 1600 m at a rate of 6.4 m/s.

For how many seconds did he run?

Answers

Answer:

250

Step-by-step explanation:

1600/6.4

The measures of the angles of a triangle are shown in the figure below. Solve for X

Answers

Answer:

34

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right

please help!!!!!! I will be grateful!!

Answers

joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!"     (he shot his friend)

joke 2. I wanted to be a democrat for halloween but i could not stick my head far enough up my a/s/s to be one.

brainliest for being funny?

a university department administers a survey regardring student satisfaction based on the survey results the department provides a confidence interval estimate of 60% to 80% for student satisfaction if the department wishes to construct a confidence interval the more accurate represents the proportion of a student satisfaction how should the design be altered

Answers

Answer:

Change the confidence interval.

Step-by-step explanation:

The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.

A 90 or 95  or 99 percent confidence interval will show  a greater range of the data that lies within or without the given criteria.

95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies  or does not lie within the specific range.

This gives better results as compared to 60- 80 % confidence intervals.

If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.

Using the table below, what is a (6(4))?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6*4=24

what is 5 1/6 - 7 1/3

Answers

Answer:

-13/6 or -2 and 1/6 or -2.16

Step-by-step explanation:

The solution of expression in mixed fraction form is,

⇒ 2 1/6

We have to simplify the expression,

⇒ 5 1/6 - 7 1/3

Firstly we can change it into improper fraction,

⇒ 5 1/6 - 7 1/3

⇒ 31/6 - 22/3

Make denominator same by taking LCM of 6 and 3 which is 6,

⇒ 31/6 - 44/6

⇒ (31 - 44) / 6

⇒ 13/6

⇒ 2 1/6

Therefore, The solution of expression in mixed fraction form is,

⇒ 2 1/6

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What is the slope of this line?

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (4, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+1}{4+2}[/tex]Add:                              [tex]m=\frac{4}{6}[/tex]Simplify:                       [tex]m=\frac{2}{3}[/tex]

One vertex of a triangle is located at (0,5) on a
coordinate grid. After a rotation, the vertex is
located at (5,0).
Which rotation could have taken place?
A rotation of 90° clockwise about the origin
B rotation of 180° clockwise about the origin
C rotation of 90° counterclockwise about the origin
D rotation of 180° counterclockwise about the origin
Ο Α
OB
Ос
OD

Answers

Answer:

A

Step-by-step explanation:

90 degrees clockwise

Help meee ASAP!!!! Pls

Answers

Answer:

2/5

Step-by-step explanation:

I found two point and counted the Y change and the X change. Rise over run.

Answer:

4/10 is the slope and the y intercept is 3

Step-by-step explanation:

PLEASE HELP!!! WILL MARK BRAINLEST!!
The solution of an equation with two variables, x and y, is:
1) The set of all x values that make y = 0
2) The set of all y values that make x = 0
3) The set of all ordered pairs, (x,y), that make the equation true
4) The set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis

Answers

Answer:

3

Step-by-step explanation:

3) because thhe solution should be equal to the values that x and y could take to make the equation true

Solve for x. x + 47 = -23

Answers

x+47=-23

move +47 to the other side to get x by itself

sign changes from +47 to -47

x+47-47=-23-47

x=-23-47

x=-70

answer: x=-70

Answer:

-70

Step-by-step explanation:

x = -23 - 47  

x = -70

-70 + 47 = -23

the equation of line L1 is y=2x+5
the equation of the line L2 is 2y-4x=6
show that these 2 lines are parallel.

Answers

Step-by-step explanation:

They have the same gradients

Plz help me will give crown and 20 points I really need help on this and can you answer all the questions

Answers

Answer:

The answer will be

1 c

2 e

3 b

4 a

5 d

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