Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?

Answers

Answer 1

Given:

Total income form tips = $131

His tips  consisted of $1 bills and $5 bills only.

Total number of bills = 47

To find:

The number of $5 bills.

Solution:

Let x be the number of $1 bills and y be the number of $5 bills.

Total bills : [tex]x+y=47[/tex]            ...(i)

Total income : [tex]x+5y=131[/tex]        ...(ii)

Subtract (ii) from (i), we get

[tex]x+5y-(x+y)=131-47[/tex]

[tex]x+5y-x-y=84[/tex]

[tex]4y=84[/tex]

[tex]y=21[/tex]

Therefore, the number of $5 bills is 21.


Related Questions

there are 1,920fence posts used in a 12-killometer strech fence how many fence posts are used in one kilometer

Answers

Answer:

160

Step-by-step explanation:

Just divide 1920 into 12

Solve the following equation:
a/3.5 - 4.8 = 6.3
a= ______

Answers

Answer:

a= 38.85

Step-by-step explanation:

Answer:

[tex]\boxed {a = 38.85}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]

-Add both sides by [tex]4.8[/tex]:

[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]

[tex]\frac{a}{3.5} = 11.1[/tex]

-Multiply both sides by [tex]3.5[/tex]:

[tex]a = 11.1 \times 3.5[/tex]

[tex]\boxed {a = 38.85}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].

Use the quadratic formula to solve the equation.
5x2-3x + 1 = 0
X=

Answers

Answer:

x= 11/3

Step-by-step explanation:

please someone help me please??!!!​

Answers

Answer:

how should I know?

Step-by-step explanation:

Answer:

a.)

x= -2 , -1, 0, 1, 2, 3

y=8 , 7, 6, 5, 4, 3

and for b just plot the point and then connect them. im not sure how i can show you

Step-by-step explanation:

due soon will give brainalist no fake answers!!

Answers

Answer:

90gr strawberry jelly

6 sponge fingers

315ml custard

135gr tinned fruit

Step-by-step explanation:

120/4 = 30 * 3 = 90

8/4 = 2 * 3 = 6

420/4 = 105 * 3 = 315

180/4 = 45 * 3 = 135

Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?​

Answers

Answer:

Required Answer:-First go to first equation

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

Take common

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

A 14 foot long ramp is being built to access a front door in a house. The door is 5 feet above the ground. How far away from the base of the house must the ramp be placed? What angle will the ramp make with the ground?

Answers

Answer:

The ramp must be placed 13.08 feet from the base of the house.

The angle the ramp will make with the ground is 20.92°.

Step-by-step explanation:

An illustrative diagram for the scenario is shown below.

In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.

To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.

The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"

In the diagram, the hypotenuse is r

∴ r² = d² + x²

r = 14 ft

d = 5 ft

∴ 14² = 5² + x²

196 = 25 + x²

Then, x² = 196 - 25

x² = 171

x = √171

x = 13.08

Hence, the ramp must be placed 13.08 feet from the base of the house.

Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.

From the formula

Sinθ = Opposite / Hypotenuse

In the diagram, opposite = d = 5ft

and Hypotenuse = r = 14ft

∴ Sinθ = 5ft / 14ft

Sinθ = 0.3571

∴ θ = Sin⁻¹(0.3571)

θ = 20.92°

Hence, the angle the ramp will make with the ground is 20.92°.

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 6.4 gallons in the 14​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.90 per gallon. How much did Irene spend on​ gas?

Answers

Answer:

$24.96

Step-by-step explanation:

Total number of gallons irede had in his tank = 6.4gallons

Price per gallon is $3.90

To get the cost of 6.4gallons;

If 1 gallon = $3.90

6.4gallons = $x

Cross multiply

1 * x = 3.90 * 6.4

x = 24.96

Hence Irene spent $24.96 on gas

A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
find the difference in square feet between the two gardens

Answers

Answer:

rectangular

Step-by-step explanation:

Answer:

The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.

Step-by-step explanation:

i hope this helps!

The matrices show the number of indoor and outdoor volunteers in different age groups

create a matrix that shows the total number of indoor and outdoor volunteers in different age groups. name the matrix T.

what is the value of the element t11 and what does the value indicate?

create a matrix by subtracting the women's matrix from the mens matrix. name the matrix D.

what is the value of the element at d12 and what does that value indicate? ​

Answers

Answer:

(a) M + W = Indoor= [26 55] Outdoor = [32 49]

(b) The value indicates the sum of the indoor volunteers ages 18-39 so the Value would be, 34.

(c) M – W = Indoor = [8 15] Outdoor = [-16 3]

(d) This value indicates the difference of the volunteers indoors 40. So the value would be 15.

Step-by-step explanation:

If this is wrong my apologies i tried LOL

but i will let you know when i get the results back asap!

The value of the element t11 is 34 and the value of the element at d12 is 15.

When are two matrices called being equal?

Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.

M + W = Indoor= [26 55] Outdoor = [32 49]

The value indicates the sum of the indoor volunteers ages 18-39,

Therefore, the Value would be, 34.

To create a matrix by subtracting the women's matrix from the mens matrix.

Now the difference;

M – W = Indoor = [8 15] Outdoor = [-16 3]

This value indicates the difference of the volunteers indoors 40 so

Therefore the value would be 15.

Learn more about equal matrices here:

https://brainly.com/question/13430728

#SPJ2


Jamie tossed a coin 50 times. The coin landed on heads 27 times and landed on tails
23 times. What is the relative frequency of landing on heads?

Answers

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

Learn more about Relative Frequency click;

https://brainly.com/question/28342015

#SPJ2

which of the following is an arithmetic sequence with common difference 2
A. 1, -3, 5, -7, 9
B. 2, 4, 8, 16, 32
C. 10, 8, 6, 4, 2
D. 13, 15, 17, 19, 21

Answers

Answer:

C is the answer.

C has a common difference of "2"

Step-by-step explanation:

You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"

PLEASE MARK BRAINLIEST

I would say C.10,8,6,4,2

Felix can grow 6 plants with every seed packet. Write an equation that shows the relationship between the number of seed packets x and the total number of plants y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

I believe it’s:

Y= 6x

Step-by-step explanation:

Please Hurry! Due by tonight!

Answers

Step-by-step explanation:

the y-intercept is 1 because it's on the y(axis). the line from 1 goes down 1 over three so the slope is 1/3.

your equation would be y=1/3x+1

Need help in math ASAP

Answers

Answer:

B

Supplementary means they add to make 180 deg, so solve (4x-8)+(2x+2)=180

Answer:

angle a + angle b=180

4x-8+(2x+2)=180

6x-6=180

6x=180+6

x=186/6

{x=31°}

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???

Answers

Answer: 4 and a half

Step-by-step explanation:

how do I do this?
I don't understand geometry and it's really confusing can one of you help me? ​

Answers

Answer:

lol im stuck too

Step-by-step explanation:

use the distributive property to expand this equation please2/3 (18x + 6z)

Answers

Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z

[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z

12x + 4z

Solve for the variable
-3/4b = 2

Answers

Answer:

b = 2.666.......

Step-by-step explanation:

[tex]-\frac{3}{4} b = 2[/tex]

------    -----

[tex]-\frac{3}{4}[/tex]      [tex]-\frac{3}{4}[/tex]

b = 2.666.....

Given: m || n and p is a traversal.
Prove: m<2=m<7
What is the missing reason in the proof?

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent.

What is the total number of servings the modified recipe will make?

Answers

9514 1404 393

Answer:

  B.  4

Step-by-step explanation:

Equating exponents, we have ...

  2x +7 = 15

  2x = 8 . . . . . subtract 7

  x = 4 . . . . . . divide by 2

The equation is true when the value of x is 4.

hope this helps enjoy.

maria wanted to invest $10,000 at the bank. she invested part of her money in a cd account paying 2.1% simple interest and invest the rest of her money in a checking account paying 1.5% simple interest. After 1 year, her interest income was $195. How much did Maria invest in each account

Answers

Answer:I = ?, P = $500, r = 6%, t = 3 years

Step-by-step explanation:

Name a ray with an endpoint of A.

Answers

B to A. it passes through E

Please quickly! Out of 5,500 people who attended the football game, fifty-six percent were rooting for the home team. How many people rooted for the home team?

Answers

3,080 people rooted for the hometeam.

Peter is painting his bedroom. His bedroom has four walls. Yesterday, he painted 1 2/5 walls. What fraction of the walls is left to paint?

Answers

Answer: 2 3/5ths are left or 13/5

Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls

Solve each equation. For each step. Identify the property used.

14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7

(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)

Answers

Answer:

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

[tex]14 + 3n = 8n - 3(n-3)[/tex]

Applying Distributive property

[tex]14 + 3n = 8n - 3n+9\\14+3n = 5n+9[/tex]

Subtraction property of equality (Subtracting 14 from both sides)

[tex]14+3n-14 = 5n+9-14\\3n = 5n-5[/tex]

Subtraction property of equality (Subtracting 5n from both sides)

[tex]3n-5n = 5n-5-5n\\-2n = -5[/tex]

Division property of equality (Dividing both sides by -2)

[tex]\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}[/tex]

Second Equation:

[tex]22x + 11 = 4x - 7[/tex]

Subtraction property of equality (Subtracting 11 from both sides)

[tex]22x + 11-11 = 4x - 7-11\\22x = 4x-18[/tex]

Subtraction property of equality (Subtracting 4x from both sides)

[tex]22x-4x = 4x-18-4x\\18x = -18[/tex]

Division property of equality (Dividing both sides by 18)

[tex]\frac{18x}{18} = \frac{-18}{18}\\x = -1[/tex]

Hence

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

okay so i got (1,1) but it's not on here ;-;

Answers

It’s (0, 4.5).

You can use 0 to substitute for x. That makes (0,4.5) a possible ordered pair. Another possible answer is using 1 or 2, but that is not one of the answers provided. Hope this helped!

How many bottles did eric buy for his friends

Answers

what’s the problem?


i need it so i can help<3

Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details

Step-by-step explanation:

The number of avocados ( a ) (a) a particular tree produces each year can be modeled by the function a ( y ) a(y). What does a ( 12 ) = 364 a(12)=364 mean?

Answers

Answer:

[tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Step-by-step explanation:

Let [tex]a[/tex] the number of avocados that a particular tree produces at a year. [tex]a(y)[/tex] is the number of avocados that a particular tree produces at y-th year. Hence, [tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds? Record your answer and fill in the bubbles on your answer document. Be sure to use correct place value. +/- .

Answers

Answer:

She paid $8,25 per pound

Step-by-step explanation:

Given

[tex]Weight = 1.6\ lb[/tex]

[tex]Total= \$13.20[/tex]

Required

Determine the amount paid per pound

To do this, we simply divide the amount by the weight of Almonds.

[tex]Amount = \frac{Total}{Weight}[/tex]

[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]

[tex]Amount = {\$8.25/\ lb[/tex]

Hence, she paid $8,25 per pound

Other Questions
Select the correct answerWhich word correctly completes this conversation?Lucia: Sacaste una buena nota en la clase de espaol, Sofa?Sofia: S,una buena nota.A.sacB.sacamosC. saquD.sacaron Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. Please help Determine the number of real solutions of the following system of equations.y = x^2 + 1y=1O 3O 0O 2O 1 In the summer I'm going to visit Italy, where my brother lives.find the common noun Low latitudes typically have what type of climate can someone help me with this pleaseFind the midpoint of the segment with the following endpoints.(5, 4) (1, 7) please help me I want the answer for the 3rd question trapezoid has parallel sides with length 10 cm. and 15 cm. Give the area of the trapezoid. Individual freedomCompromiseMajority rule and minority rightsEquality before the lawFundamental dignity and worth of the individualPrivate property rightsDue process of lawVotingWhat is one example of the type of government with the characteristics listed above?A-DictatorshipB-OligarchyC-Absolute monarchyD-Republic A hot air balloon is descending at a rate of 6.75 feet per second.What is the change in the balloon's height after 3 1/3 seconds? write a letter to your friend in another school telling him why you will like to leave your school for his school helppppp please I will give brainliest Tony's coffeehouse is located on the corner of 3rd Avenue and Henderson street, right next to Alex's Auto Repair shop. Look for large red hat over the door and the "Tony's sigh in the front window. can someone please help me What 904 l is3?You have 41 students three are absent what percentage of students are absent? All of the statements are true EXCEPT:Select one:A. Pascal's law is the principle behind hydraulic brakes.0 B. varying amounts of mechanical force can be extracted from a singleamount of hydraulic pressure.C. the smaller brake caliper pistons on the front wheels give greatermechanical force and braking power to the front wheels.O D. a power booster is fitted to the brake system to increase the driver'sbrake pedal force to the master cylinder. I WILL GIVE BRAINLIESTSelect the correct text in the passage.Which details in this diary entry support the main idea that the writer is enjoying his time at his new school?September 18It's been a whole week since I joined the new school, and it's not as bad as I thought it would be. No one has bullied me for being the new kid, and the teacher isn't so scary. Mr. Denton has a unique way of teaching that my old teachers never used. He often pitches us the questions and waits for us come up with the answer. He even holds fun class debatesthe kind where half the class argues with the other half about an issue. At the same time, he seems very strict when it comes to completing assignments.I made a couple of friends in my first week too. There is Gina, whose father works at the same company as my father. She's really smart and has promised to help me with my studies. Then there's Max and Charlie. They live a couple of blocks from my place. Max is into soccer, just like me, but he only follows European football. Charlie and I don't talk a lot. I only know him because he hangs out with Max all the time. But I do know that he loves watching horror movies. Maybe I'll show him my collection when he comes over.PICK MORE THAN ONE!!options:-No one has bullied me for being the new kid, and the teacher isn't so scary.-At the same time, he seems very strict when it comes to completing assignments.-I made a couple of friends in my first week too.-She's really smart and has promised to help me with my studies.-Charlie and I don't talk a lot. I only know him because he hangs out with Max all the time. Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget. What type of sketch do designers make when practicing their skills? Identify the correct way to cite the O*NET "Video Game Designers" web page.1. Details Report for: 15-1199.11 Video Game Designers. O*NET OnLine. n.p., 2012. Web. 1 May 2013.2. Details Report for: 15-1199.11 Video Game Designers. O*NET OnLine. n.p., 2012. Web. 1 May 2013. 3. O*NET OnLine. Details Report for: 15-1199.11 Video Game Designers. n.p., 2012. Web. 1 May 2013. 4. O*NET OnLine. Details Report for: 15-1199.11 Video Game Designers. n.p., 2012. Web. 1 May 2013.Second Option is Correct!