Amber works as a waitress at a restaurant. She earns an hourly wage and also earns tips. One night, she worked 6 hours and earned a total of $69.20, which included tips of $15.50. Explain how the equation 6w + 15.5 = 69.2 represents this situation. Then, calculate Amber’s hourly wage.

Answers

Answer 1

Answer:

Hey there!

The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.

We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.

We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.

[tex]6w+15.5=\$69.20[/tex]

Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).

[tex]6w=69.20-15.5\\6w=53.7[/tex]

Divide both sides of the equation by 6.

[tex]\displaystyle \frac{6w}{6}=\frac{53.7}{6}\\\\w=8.95[/tex]

Therefore, Amber's hourly wage is $8.95.


Related Questions

Consider a single spin on the spinner shown below. A circle is split into sections 1, 2, 4, and 3. A spinner is pointing at number 2. Sections 1 and 2 are shaded. Which events are mutually exclusive? Check all that apply. landing on an unshaded portion and landing on 2 landing on a shaded portion and landing on 3 landing on a shaded portion and landing on an even number landing on an unshaded portion and landing on a number greater than 3 landing on a shaded portion and landing on an unshaded portion

Answers

Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.

In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

Answer:

first, second and fifth

Step-by-step explanation:

edge 2021

Please help me this is due in 5 mins!!!

Answers

Answer: Perimeter: 28 units

Area: 32 square units

Step-by-step explanation:

Answer:

Perimeter = 24

Area =32

Step-by-step explanation:

To find the perimeter, add up the number of outside edges

4+ 2+2+2+2+2+4+2+2+2+2+2 =24 units

To find the area, count the number of boxes in each row

4 + 4+ 8+8+4+4 = 32 units^2

PLEASE HELP ME PLEASE

Find the volume of the sphere.
r= 3 cm
Formulas for Spheres
S.A. = 4nr?
V = frr? V = [?] cm3
Round to the nearest tenth.

PLEASE HELP ME PLEASE

Answers

Step-by-step explanation:

113,1 cm^3

The volume of the sphere is V = 113.097 cm³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 3 cm

Let the volume of the sphere be V

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 3 cm into the formula, we get:

V = (4/3)π(3 cm)³

V = (4/3)π(27 cm³)

V = (4/3)(3.14159)(27 cm³)

V = 113.097 cm³

Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.

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Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.

Answers

It would be D. You already have an angle and a side congruency, so you would just need another angle. To prove congruency, they have to all be in a line, so if you are going from corner to corner of the shape, they would all be in line, and you wouldn’t skip any. I’ll attach a picture to hopefully give you a visual as to what I am talking about.. I hope this helps :)

Help I’m stuck!!!! Solve the equation below for x. Enter your answer as a fraction in lowes
terms, using the slash mark (/) as the fraction bar. 4/21 + 2/9
X=

Answers

Answer:

26/63

Step-by-step explanation:

Try to make the denominators equal so that you can add them:

4(3)/21(3)= 12/63

2(7)/9(7)= 14/63

And now you add, which will give you:

12/63 + 14/63= 26/63

10 points to answer this question. Determin the numerical length of VW.​

Answers

Answer:

9

Step-by-step explanation:

4x-7 + 3x = 5x -1

7x - 7 = 5x +1

2x = 8

x = 4

VW = 4x - 7

      = 4(4) - 7

      = 16-7

      = 9

Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9

Answers

9 3/10, 9.5, 9.9

9 3/10 is equal to 9.3

hey yall heres another question i need the answer to ASAP !!!!!



Type the correct answer in each box.

The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.

If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.


the question marks stand for where the answers should go.

Answers

Answer:

girth is better than length. your welcum ;)

Given a quadratic function, y = ax + bx+c, what happens to the graph when "a" is positive?
a. the parabola opens down, the vertex is the C. the parabola opens up, the vertex is the
maximum value
maximum value
b. the parabola opens down, the vertex is the d. the parabola opens up, the vertex is the
minimum value
minimum value

Answers

Answer:

d

Step-by-step explanation:

it is opened up because the voeff of X^2 tetm is positive

PLEASE HELP: Click on the graph to choose the correct answer to the equation.
x + y > 0

(the ones with multiple are all separate I just couldn't attach all.)

Answers

Answer:

It's the third one, I hope so. y<1/2x

Step-by-step explanation:

I hope this helps. :)

What is the domain to this graph

Answers

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)​

Answers

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

Name the marked angle in 2 different ways.

Answers

Answer:

angle TVU

Step-by-step explanation:

angle UVT

please mark as brainliest

help
PLEASE HEPP ME PLEASE

Answers

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0

Answers

Answer:

10/3

Step-by-step explanation:

remember about right order

Name three deficiency diseases associated with diet and state their causes

Answers

Answer:

Iron deficiency, hypoglycemia, and scurvy.

Step-by-step explanation:

Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.

Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia.  People would have to consume more glucose or take insulin shots to get the amount back to normal.

Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.

Área de Cuadriláteros
¿Me pueden ayudar con esta tarea?

Answers

Answer:

I can't understand this language sorry

If AD is 10 inches long BD is 6 inches long

Answers

Answer:

AB = 8 inches

Step-by-step explanation:

given :

AD = 10 inches

BD = 6 inches

AB = ?

using pythagoras theorem

a^2 + b^2 = c^2

BD^2 + AB^2 = AD^2

6^2 + AB^2 = 10^2

36 + AB^2 = 100

AB^2 = 100 - 36

AB^2 = 64

AB = [tex]\sqrt{64[/tex]

AB = 8

The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC  is equal to 8 inches.

In the figure of triangle ADC ,

DB is perpendicular to AC such that A- B- C.

Measure of angle CBD = 90 degrees

This implies,

As angle ABD and CBD are linear pair

⇒ Measure of angle CBD + Measure of ABD = 180°

⇒ 90° + Measure of ABD = 180°

⇒  Measure of ABD = 180° - 90°

⇒  Measure of ABD = 90°

Now triangle ABD is right angle triangle,

AD = 10 inches

BD = 6 inches

By applying Pythagoras theorem we have,

AB² + BD²  = AD²

⇒ AB² = AD² - BD²

⇒ AB² = 10² - 6²

⇒ AB² = 100 -36

⇒ AB² = 64

⇒ AB = √64

⇒ AB = 8 inches

Therefore, the length of the AB is equal to 8 inches.

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a chalkboard is 250 cm long and 60 cm wide what is the area of the chalkboard​

Answers

Answer:

15000 cm^2

Step-by-step explanation:

Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.

Step-by-step explanation:

by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..

So, 250cm×60cm

=15,000cm² is the Area

Worth 12 points and please actually help me

Answers

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

I'll give branliest! please help!!

Answers

Answer:

Step-by-step explanation:

So we know angles A and B add up to 180 degrees.

This gives us x+2 + 2x+4

We can simplify this to 3x+6 = 180

3x = 174

x=58

Now we know value of X, we can use it to find A's angle

Since, a = x + 2

a = 60

Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x

Answers

Answer:

I BELIEVE ITS C {^_^}

Step-by-step explanation:

The trigonometric function y = 3cos(πx) has a period 2.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

a is the function's amplitude.

The function's wavelength is b.

The phase shift of a function is c.

We already know that y = cosx has a 2 period.

The period is calculated as T= 2π/b and if T = 2.

y = 3cosx

2=2π/b

b= 2π/2 = π.

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Oliver earns an hourly wage, as shown in the graph. In addition to his hourly wage, he is eligible for bonuses. If he received a $100 bonus award for his performance and worked 20 hours, how much did he earn?

Answers

you didn’t include the graph

Oliver earns a total of $260.

What is Ratio?

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.

Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:

y = kx +c

since this line goes through the origin point. Constant (c) will be zero.

At the point (1, 8 ) k = 8

Hence, Y = 8x

Because hours worked are 20

earning = 8 * 20  = 160

Total earnings = 100 + 160 = 260

Therefore, the Total money that Oliver earns is $260.

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If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree

Answers

Answer:

1.522 ft tall

Step-by-step explanation:

divide 13.8 by 6ft and you would get 2.3

the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.

ITS URGENT! PLEASE HELP!

Answers

Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation:



Given g(x) = |2x + 1), find the values of x if g(x)=5

Answers

Answer: 11

Step-by-step explanation:

g(x)=(2x+1)

g(x)=5

g(5)=2(5)+1

     =10+1

g(5)     =11

HELP THIS IS MY LAST ASSIGNMENT FOR MATH

Answers

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Add the following numbers. -3 + 8 =

Answers

The correct answer is 5

Since the 3 is negative you would technically subtract 8 (positive) by 3

The theoretical probability of choosing Event A is 2



7

. What is the

theoretical probability of not choosing Event A?

Answers

Answer: [tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given

The theoretical probability of choosing an event  A is [tex]\dfrac{2}{7}[/tex]

The sum of the probability of occuring and non-occuring of an event is always equal to 1.

So, the probability of non choosing Event A is

[tex]\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}[/tex]

The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with

similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of

the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

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