Dan is stocking up on AA and AAA batteries. He bought 10 packages of batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write, but do not solve, a system of equations that can be used to find how many packages of each type of battery Dan bought.

Answers

Answer 1

Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Number of packages = 10

Total batteries = 72

For AA:

batteries per package = 6

Let number of packages = x

For AAA:

batteries per package = 8

Let number of packages = y

Number of AA packages + number of AAA packages = 10

Sum of AA + sum of AAA equals 72 batteries

x + y = 10

6x + 8y = 72

Answer 2

Answer:Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Number of packages = 10

Total batteries = 72

For AA:

batteries per package = 6

Let number of packages = x

For AAA:

batteries per package = 8

Let number of packages = y

Number of AA packages + number of AAA packages = 10

Sum of AA + sum of AAA equals 72 batteries

x + y = 10

6x + 8y = 72

Step-by-step explanation:


Related Questions

One number exceeds another by 5. The sum of the numbers is 89. What are the numbers ?

Answers

Answer:

42

Step-by-step explanation:

89-5=84

84÷2=42

and reverse it to check

(42+5)+(42)=89

3
5
7
9
у
6
12
18
24

Answers

Step-by-step explanation:

3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11

Can someone help me thank you I have to show my work for these problems

Answers

Answer:

4. perimeter = 232cm

area = 1600cm²

5. perimeter = 30m

width = 8m

Step-by-step explanation:

Perimeter is the sum of the all the sides of a figure.

Area is given as length times breadth

message me for the rest of the answers and explanation

write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3

Answers

Answer:

y-1=-3(x+2)

Step-by-step explanation:

PLZ HELP ME LLZ I WILL DO ANYTHING

Answers

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?

A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches

GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!

Answers

Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Between 5 and 5 1/2 inches

what is the solution to the system of equations?

Answers

The correct answer is b

Write an equivalent expression by factoring for 6a + 15

Answers

Answer: Factor 6a + 15
= 3 (2a + 5)

Plzzzzz help need fast if cannn plzzz

Answers

Answer:

D) 2.1

Step-by-step explanation:

HOPE IT HELPS YOU

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

Answer: 2.1 I think please don’t be mad if I’m wrong

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x​

Answers

Answer:

A. (7 - √14x) /(7 - 2x)

Step-by-step explanation:

Given the fraction:

7 / (7 + √14x)

Rationalize the denominator by multiplying (7 - √14x):

7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)

Matching choice us A

Pleasee helpppp
If you are using indirect measurement, what is true?



A.You must convert dimensions to the same unit of measurement.


B.You do not have to convert dimensions to the same unit of measurement.

Answers

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

solve for x
3x + 4 = 13

Answers

Answer:

x = 3

Step-by-step explanation:

3x = 13-4

=> 3x = 9

=> x = 3

Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded monthly. Round your answer to the nearest cent.
Please select the best answer from the choices provided
A. $900.90
B. $875.02
C. $1,102.94
D. $1,012.10

Answers

Answer: a

Step-by-step explanation:

Took test

What is the area of the trapezoid below? 7in 4 in 5 in 12 in​

Answers

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start. Understanding the Competition 1. Explore the three competitors in your area to learn more about the services they offer and how they reach their customers. Fill in the table below to help you compare their businesses. (12 points: 1 point for each table cell)
Outward HoundA1-Pet Services Debbie's Daily Dog Walks What services does the business offer? What do you know about the type of business and its staff? Who are the target customers? How much does the business charge?2. Now that you know a bit about the competition, it's time to get more specific about your business offering. (6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you would like to offer. Do any of these services require you to buy special items? If so, what would you need to buy? Describe the type of customer you believe your business will appeal to and explain why. If you had to guess now, how much do you think you should charge for a 30-minute dog walk? Calculating Your Business Costs 3. Use the table below to summarize your monthly business costs. Record each option you choose in the "Options selected" column. (9 points: 1 point for each completed table cell)
Cost type Total cost per month Options selected Advertising Goods Transportation Licensing TOTAL 4. Explain the choices you made that determined your business costs in each cost category. (4 points: 1 point for each explanation) In your explanation, be sure to describe: ❑ Your advertising choices ❑ The goods you will purchase ❑ Your transportation needs
❑ Whether you chose bonding ❑ The reasons for your choices Advertising: Goods: Transportation: Bonding:
loading...
With every price decrease of $1, Caleb (gained/lost) ___________ customers. 6. Write a profit equation for Caleb's business. Profit = Price • Number of customers – Cost To write the profit equation, use the following assumptions: ❏ Express price and number of customers in terms of the same variable, x. ❏ Let x = the change in price from the price that gave Caleb the greatest revenue. Use the information in the table to answer these questions. (9 points: 1 point per blank) a. At what price did Caleb make the most revenue per month? How many customers did he serve at that price? Price: _________ Number of customers: _________ b. Write an expression for price. Use the price identified in part a. Let x represent the change in Caleb's price from this price. Price = __________ + ____________ c. Write an expression for the number of customers. Use the number of customers identified in part a, and the decrease in number of customers when Caleb increases his price by $1 (from question 5). Number of customers = _________ – __________x d. Write Caleb's profit equation. Use the expressions you identified in parts b and c. Assume Caleb's costs amounted to $200 each month. Profit = Price • Number of customers – Cost Profit = ___________ • ____________ – _________
Maximizing Your Profits You've done a lot of research. Now it's time to try to maximize the profit of your new business. 7. Write and simplify your personalized profit equation. Complete the profit equation, using the price and customer expressions from question 6 and your total cost from question 3. (6 points: 1 point for each element: price, number of customers, and cost; 3 points for writing and simplifying the profit equation) 8. Now find the maximum point on the graph of your profit equation (the vertex). (5 points: 1 point for each box in part a; 2 points for part b) a. b. Substitute x into the profit function to find the maximum profit. Maximum profit: . According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation) 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value) 11. According to your model, between what two prices should you price your service? Why would you want to keep your price between those limits? (4 points: 2 points for the break-even values, and 2

.
+
1

Answers

Answer:

Here is the answer. :)

Please do mark me brainlist.

Answer:

3.7.2 Project: Your Dog-Walking Business Project

Algebra I Sem 2 (S4982522) Ahmad Anwar

Points possible: 80 Date: 3/27/19

The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own

neighborhood. Caleb has had his business for more than a year and has experimented with different

prices for his services. He is willing to share what he has learned with you as you begin to plan your

business.

The Project: Use the information provided in the Performance Task to learn more about your

competition and the costs of your business. See what you can discover by looking at Caleb's

sales records to help you decide how to set up and price your own dog-walking services.

Use the questions below to help you gather information and get your new business off to a

profitable start.

Understanding the Competition

1. Explore the three competitors in your area to learn more about the services they offer and how

they reach their customers. Fill in the table below to help you compare their businesses.

(12 points: 1 point for each table cell)

Outward Hound A1-Pet Services Debbie’s Daily Dog Walks

What

services

does the

business

offer?

Their unique services focus

on off-leash dog park play,

nature trails and wilderness

hikes, and social play with

other dogs

Their services include private

walks, distribution of food,

water, and medications,

stop-in pet sitting,

mail-pickup, and plant

watering

Her services include daily

leash-walks and playtime

supervision, distribution of

food and fresh water, mail

and newspaper pickup, and

turning house lights on and

off

What do you

know about

the type of

business

and its

staff?

Outward Hound is a small

business staffed by dog

lovers with extensive

training in animal behavior

and nutrition.

A1-Pet Services is a

nation-wide franchised

pet-service company. They

specialize in caring for pets

when their owners are away

from home.

Debbie's Daily Dog Walks is

a one person business. Her

services are available for a

day or an extended period of

time.

Who are the

target

consumers?

Outward Hound's

customers pay a premium

for their staff's expertise and

innovative services. They

are licensed, bonded, and

insured.

Their customers have pets

that need a strict schedule,

and the reliability of this

service is most important.

Her customers are

cost-conscious and

appreciate the low cost of her

services.

How much

does the

business

charge?

They charge per day at a

rate equivalent to $35 per

30 minutes.

Their rates are considered

average at $20 per 30

minutes.

She charges $12 per 30

minutes.

2. Now that you know a bit about the competition, it’s time to get more specific about your business

offering.

(6 points: 3 points for describing services, 1 point for each of the other questions)

List three services you

would like to offer.

The services I would like to offer are daily leash-walks and playtime supervision,

distribution of food and fresh water.

Do any of these

services require you to

buy special items? If so,

what would you need to

buy?

I need to buy leashes and leads, fetching toys, treats, cleanup bags.

Describe the type of

customer you believe

your business will

appeal to and explain

why.

The type of customer I believe my business appeals to is a casual person who

needs their dog watched by.

If you had to guess

now, how much do you

think you should charge

for a 30-minute walk?

I think I should charge around $20 for a 30-minute walk.

Calculating Your Business Costs

3. Use the table below to summarize your monthly business costs. Record each option you choose in

the “Options selected” column.

(9 points: 1 point for each completed table cell)

Cost-Type Total Cost per Month Options Selected

Advertising $12 Color flyers

Business website

Business cards

Social media advertising

Goods $37 Leashes and leads

Fetching toys

Treats

Cleanup bags

Transportation $75 Walking

Bicycle Maintenance

Bus/metro pass

Gas for vehicle

Licensing $160.75 Insurance

Business registration

Bonding

Total $284.75

4. Explain the choices you made that determined your business costs in each cost category.

(4 points: 1 point for each explanation)

In your explanation, be sure to describe:

❑ Your advertising choices

❑ The goods you will purchase

❑ Your transportation needs

❑ Whether you chose bonding

❑ The reasons for your choices

Advertising:

Goods:

Transportation:

Bondin

Step-by-step explanation:

please mark me brainliest!!

given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?

Answers

its line a

Step-by-step explanation:

Zenaida shares 1/5 bag of cookies equally among herself and 2 her friends. What fraction of the cookie bag will each girl receive?

Answers

Answer:

1/15

Step-by-step explanation:

1/5 divided by 3

=1/5 times 1/3

=  1 × 1

 -------

 5 × 3

= 1/15

Answer:

The answer is 1/10

Step-by-step explanation:

1/5 divided by 2

1/5 times 1/2

1 x 1 = 1

5 x 2 = 10

1/10

i am finding the volume of a shape, the area is 20mm and the length is 5cm what is the answer?​

Answers

Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.

Different Ways to Find Volume

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...

Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...

Solve for Volume by Displacement.

Step-by-step explanation:

someone pls help it's worth tons of points​

Answers

Left to right on each row

X= 8. B= -1. M= 3. X= 4

K = 4. M= 5. N=8. X= -3

P= -7. X= -3. X=8. V=1

Q= ? . N= ? . X= 0

I can’t tell with these bottom two with the ?


If you have any other math questions like this you can use MathPapa calculator

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!

Answers

Answer: -5 Hope this helps :)

Step-by-step explanation:

Brainlist Plz?

The answer is -5. Give me points if I am correct please.

A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.

The amount of juice left in the bottle after pouring out
(i) p ml.

(ii) q glasses each containing r ml​

Answers

Answer:

1. 500-p

2. qr=500

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex]​ [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.

Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]

So,

Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

For more information:

https://brainly.com/question/11227332?referrer=searchResults

The main mast of s sailboat is supported by a rope that extends from the top of the mast to the deck. If the mast is 23 feet tall and the rope attaches to the deck 15 feet away from the base of the mast, how long is the rope? ​

Answers

Answer:

27.46

Step-by-step explanation:

Julie earns $9 each week as an allowance. If she spends $5 each week for lunch money and saves the rest, which expression shows how much money she will save in x weeks?

Answers

Answer:

(x)4

Step-by-step explanation:

(x) is the amount of weeks and 4 is the amount of money that is saved every week.

A farmer has a total of 7745 corn plants. She wants to plant 40 corn plants in each row. She does the following work in long division: 193 R25 40) 7745 -40 374 - 360 145 -120 25 Which statement is correct?​

Answers

Answer:

7745 -40374 is the correct statement

Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!

Answers

Ron would have to pay his broker $400 because 1.25 percent of 32,000 is 400
32000 x 0.0125 = 400

What is the value of x? 5 + 1/5x = 5

Answers

Pretty sure that’d be 0 or No Solution

Answer:

x = 0

Step-by-step explanation:

5 + 1/5x = 5

Subtract 5 from both sides.

1/5x = 0

Divide both sides by 1/5

x = 0

I hope this helps!

Solve the simultaneous equations
3
2x - y = 7
xy = 15

Answers

Answer:

(5, 3 ) and (- [tex]\frac{3}{2}[/tex], - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - [tex]\frac{3}{2}[/tex] : y = 2(- [tex]\frac{3}{2}[/tex] ) - 7 = - 3 - 7 = - 10 ⇒ (- [tex]\frac{3}{2}[/tex], - 10 )

I need to find what x

Answers

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Find the unit rate for this situation: type 145 words in 5 minutes

Answers

Answer:

29 words per minute

Step-by-step explanation:

[tex] \frac{145}{5} = 29 \\ \frac{29}{1} = 29[/tex]

Answer:

29 words per minute

Step-by-step explanation:

145/5 = 29 words per minute

Hope that helps!

(3a - 1/2) (3a - 1/2)​

Answers

Answer: The answer is 9a^2 - 3a + 1/4

Step-by-step explanation:

Hope this helpfull.

But Im so sorry if this not helpfully

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