Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
A .3 pounds B .2 pounds C .1 pound D. 0.5 pound

Answers

Answer 1

Answer:

Weight of the parcel in pounds = 1 pound

Step-by-step explanation:

Given:

y = 4x + 1 ---------------------Eq1

y = 3x + 2 ----------------------Eq2

Where,

x = weight of the parcel in pounds

y = total cost of the parcel

Find:

From Eq1 and Eq2, by using Substitution method.

y = 4x + 1 ---------------------Eq1

y = 3x + 2 ----------------------Eq2

So,

3x + 2 = 4x + 1

4x - 3x = 2 - 1

x = 1

Weight of the parcel in pounds = 1 pound in both services is equal


Related Questions

Please help me. Mark me the branliest.

Topic: Percentage

Q1) 80% of a dog's mass is equal to 24% of the mass of a lion. If the mass of the lion is 105 kg more than the mass of the dog, find the total mass of the dog and the lion.​

Answers

To solve this problem, let's denote the mass of the dog as D and the mass of the lion as L.

We are given that 80% of the dog's mass is equal to 24% of the lion's mass. Mathematically, this can be expressed as:

0.80D = 0.24L

We are also given that the mass of the lion is 105 kg more than the mass of the dog:

L = D + 105

We can use these two equations to find the values of D and L.

Substituting the value of L from the second equation into the first equation:

0.80D = 0.24(D + 105)

Now, let's solve for D:

0.80D = 0.24D + 0.24(105)

0.80D - 0.24D = 25.2

0.56D = 25.2

D = 25.2 / 0.56

D ≈ 45

Now that we have the value of D, we can find the value of L by substituting it back into the second equation:

L = 45 + 105

L = 150

Therefore, the total mass of the dog and the lion is:

D + L = 45 + 150 = 195 kg

So, the total mass of the dog and the lion is 195 kg.
Person above is correct

NEED HELP ASAP NO FALSE ANSWERES. Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in
cleaning supplies per car wash. Write an equation to represent this situation

Answers

Answer:

y = 70x + 35

Step-by-step explanation:

$75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the amount of car washes done

y would be the profit received.

thus y = 70x + 35 (profit = value of car wash * number of cars washed + tips)

Answer:

Step-by-step explanation:

Profit = Income less outgo

         = (car wash income + tips) - (supplies)

$250 = ($75n + $35) - ($5n), or

$215  = $70n     (where n represents the number of cars washed)

This comes out to n = $215/$70, or approximately 3 car washes.

At an amusement park, a lemonade stand was next to a roller coaster. Throughout the day, people who got off the ride and purchased lemonade were asked how long theyhad to wait in line for the roller coaster. The results are shown in the scatter plot below.





Which statement is supported by the data in the scatter plot?

As the wait time increases, the number of cups of lemonade sold tends to stay the same.

There is no relationship between the wait time and the number of cups of lemonade sold.

As the wait time increases, the number of cups of lemonade sold tends to decrease.

As the wait time increases, the number of cups of lemonade sold tends to increase.

At an amusement park, a lemonade stand was next to a roller coaster. Throughout the day, people who got

Answers

Answer:

i am going to go with no relationship

Step-by-step explanation: because there is no pattern and it seems just random or it may just depends who is in line

A.as the wait time increases, the number of cups of lemonade sold tends to stay the same

I need help asap please I don’t know

I need help asap please I dont know

Answers

Answer: a

Step-by-step explanation:

C. The answer is -160 hope it helps you

Please helpp!! Ty ty!♡♡

Please helpp!! Ty ty!

Answers

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Answer:     25

Therefore,  4a  +   12   -   2c   +   c  =   25

Step-by-step explanation:

       a  =   4  

       c  =   3

Swap letters for numbers:

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

Hence your answer is:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!

How much greater is 42 inches than
1 yard? Explain.

Answers

Answer:

6 inches

Step-by-step explanation:

1 yard =36 inches

36 inches< 42 inches

42-36 inches = 6 inches

Answer:

.1666676

Step-by-step explanation:

1 in = 0.0277778 yard

42  × 0.0277778 = 1.1666676

1.1666676 - 1 = .1666676

so 42 inches is .1666676 greater than 1 yard

Mayumi has the boxes shown at the right. The total number of objects in two of the boxes is the same as the number of objects in the third box. Write an equation to show the relationship of the number of objects in the boxes.
Addition and Subtraction Equations
11.2

Answers

The answer is 22

Multiply 11x2

Answer: x+x=2x

Step-by-step explanation:

Well, it says there are half of the objects in two baskets of the third one.

So x (first box) + x (second box) = 2x (third box)

(also mayumi needs to learn to save boxes too)

Happy to help :)

-jp524

PLease solve it as fast has you can

PLease solve it as fast has you can

Answers

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

The first time you have a problem is if you’re going through something and you’re trying something new you need a break and then you’re not doing anything to it so I think you’re going through a really hard situation right and then you’re just going to have a bad day so you don’t get it

Help yo girl out (again) thank you TvT

Help yo girl out (again) thank you TvT
Help yo girl out (again) thank you TvT
Help yo girl out (again) thank you TvT

Answers

Answer:

a, b

the equation is the same

These expressions represents the cost of the overnight trip because an hotel room is  100 dollars, the food is 25n which means 25 dollars per person and the cost of going to the musuem is 35n which is 35 dollars per person.

page 2

n=2                 n=3                  n=4

220                280                  340

220                280                  340

320                480                  640

Step-by-step explanation:

The answer is a and b

A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart shows the effect of adding or taking away a pamphlet. Pamphlets Added to the box(x) Effect on the Box's Weight (y) 0 0 1 6 2 12 3 18 Is this an example of continuous or discrete data? discrete continuous

A box contains several copies of Mrs. Spencer's new pamphlet. The box weighs 2,000 grams. This chart

Answers

Answer:

This example represents discrete data.

Step-by-step explanation:

Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.

In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.

Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.

This is an example of discrete data

19. -5-(15x-1=2(7x-16)-x
it's multi-step equations using inverse operation

Answers

Answer:

  x = 1

Step-by-step explanation:

You want the solution to the multi-step equation -5 -(15x -1) = 2(7x -16) -x.

Solution

It is often useful to simplify the equation first. Doing that gives ...

  -5 -15x +1 = 14x -32 -x . . . . . . eliminate parentheses

  -15x -4 = 13x -32 . . . . . . . . collect terms

  28 = 28x . . . . . . . . . . . . add 15x+32

  1 = x . . . . . . . . . . . . . divide by 28

__

Additional comment

The "inverse operations" used here are addition of 15x to cancel the subtraction of 15x, and addition of 32 to cancel the subtraction of 32. The inverse of subtraction is addition.

A large box of cereal has 26 ounces and costs $5.20. What is the unit rate price per ounce for the large box of cereal?

Answers

Answer:

$0.20

Step-by-step explanation:

Hey! Let's help you with your question here!

So, let's start with what we are trying to find and that's the unit rate price per ounce of a large box of cereal. Now, let's focus on what we're given.

Information we know:The large box of cereal is 26 ounces.The cost of the box of cereal is $5.20

Explanation:

Alright! We've figured out what we know and what we need to find! Now, we can start figuring out how to solve it! Now how do we do that? Well in order to figure out the unit rate price, we need to take the price and divide it by the total quantity. In a formula, it looks like this:

\(Unit Rate=\frac{cost}{quantity}\)

If we plug everything into the formula, it would look like this:

\(UnitRate=\frac{5.20}{26}\)

\(UnitRate=0.20\)

Conclusion:

Therefore, we can conclude that the unit rate price per ounce for the large box of cereal is $0.20 per ounce.

Learn more about unit rate price per ounce at https://brainly.com/question/154858

It would be 0.20 cent per ounce

The two parallelograms below are similar. What is the length in inches of PQ¯¯¯¯¯¯¯¯ ? Responses 50 in. 50 in. 42.5 in. 42.5 in. 40 in. 40 in. 17.5 in.

Answers

Answer: The 40 in one is similar

Step-by-step explanation:

also please answer my question if possible

Brianna takes her car to the Super Suds car wash once every month. She spends $8.95 each time. How much did she spend on car washes last year?

Answers

The answer is 107.40
$107.4

This is because there are 12 total months in a year, and she spends $8.95 per month. You would multiply 8.95 by 12 to get the answer $107.4

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. If there are 529 chairs in the auditorium, then how many chairs are there in each row?

Answers

Answer:

23!

Step-by-step explanation:

529/23= 23

23 chairs and 23 rows

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Can you help me with this?

Can you help me with this?

Answers

i think it might be c
it should be twice x plus 3 times x cubed

what’s is the initial value of this function

whats is the initial value of this function

Answers

The starting value is 2 and the equation also of the line is y=2/5x+2
It’s 2 because you can see the point (2,0) which means that 2 is where it started at. Whenever you find 0 as the y coordinate it means that’s where it started.
Hope this helped!

Find the value of x please :)

Find the value of x please :)

Answers

Answer:

32 degrees

Step-by-step explanation:

The sum of all angles in a triangle is 180 degrees.

A right angle (The one marked by a small square on the bottom left) measures 90 degrees.

You're given that the other two angles in the triangle measure 58 and x degrees.

To find x, we'll find the sum of all angles, and equate it to 180.

The sum of all angles = 90 + 58 + x = 148 + x degrees

\(148 + x = 180 \text{ // -148}\\\cancel{148 -148} + x = 180 - 148\\x = 32^{\circ}\)

If I did it correctly it should be 32°.

Please help!
Thank you

Please help!Thank you

Answers

Answer:

The answer is 11/12! Hope it helps!

1/4 * 2 3/4
= 1/4 * 11/4
= 11/16

Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation

Answers

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

The correct answer is translation and a dilation

What are the various types of transformation?

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

How to solve this problem?

The steps are as follow:

Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of  Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC  which means that ΔABC was translated i.e shifted to give ΔA"B"C"

So the correct answer will be translation and a dilation

Learn more about translation and a dilation here:

https://brainly.com/question/1046778

#SPJ2

Identify the relationship in the figure. Select all that apply.

A) Complementary angles
B) Supplementary angles
C) Adjacent angles

Identify the relationship in the figure. Select all that apply.A) Complementary anglesB) Supplementary

Answers

Answer: Adjacent Angles

Step-by-step explanation:

I got you fam

Answer:C) Adjacent anglesStep-by-step explanation: The word adjacent means next to or beside.

PLS HELP EXAM




a) -2 = y + 5





c) –2x + 3x – 5 = 6 – 21





e) 4 – 14 = 5x





g) –42 + 20 = –2x + 13x






i) 7 = y – 2



k) –4 – 10 = 4y + 3y




m) 3y = –18

Answers

Answer:

a: y = - 7

c: x = -10

e: x = 2

g: x = -2

i: y = 9

k: y = -2

m: y = -6

Step-by-step explanation:

a: Subtract 5 on both sides

c: Add 5 on both sides then combine like terms

e: Combine like terms then divide by 5

g: Combine like terms then divide by 11

i: Add 2 on both sides

k: Combine like terms then divide by 7

m: Divide by three(won't add the number for some reason)

A: y=-7
C: x=-10
E: x=-2
G: x=-2
I: y=9
K: y=-2
M: y=-6

please help i'll give a brainliest for first correct answer

please help i'll give a brainliest for first correct answer

Answers

A
It has the same amount of numbers the other one does.
It’s A, hope this helps.

Pls help me to find the median and mode, with solution pls​

Pls help me to find the median and mode, with solution pls

Answers

Answer:

Mode=32

Mean=32

Median=32

Step-by-step explanation:

Mode=highest frequency

Mode=10

Mean=£fx

£f

Mean=1280

40

=32

Median=n/2

=40/2

=20

median=32

Mode-32
Median-32
Hope this helpsssss

Please help! Thank you!

Please help! Thank you!

Answers

Answer:

525

Step-by-step explanation:

If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525

525 I ain’t adding nothing because your mom ate this d last night

1. Dot collected rainfall data for 5 days in October. If the total rainfall for the 5 days was 2.65 inches, how much rain fell on day 2?
Day 1) 0.34 Day 2) ? Day 3) 1.11 Day 4) 0.17 Day 5) 0.43

2. Lisa lives in Atlanta. She is going to a baseball game with her 2 sisters and her parents. They have $100 to spend. After they buy their tickets, how much money will they have left to buy refreshments?
Atlanta $14.45 New York $28.59 Los Angeles $19.67

3. Jack purchases 9 gallons of gas on Monday. He uses 2/3 of the amount purchased commuting to and from work during the week and an additional 2 gallons running errands. How many gallons of gas does John use for work and errands?

4. A family’s vacation destination is 800 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 miles per hour. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?

Answers

#1 is 6.34

#2 is 27.25

#3 is Gallons of gas use for work and errands is 10.

#4 is 215

Hope this helps

Youth soccer fields vary in size per the age of the players. The field for the 9 and 10 year-old players was 75 yards long by 45 yards wide. The field for the 11- 14 year old players was proportionally larger. If the length of the field for the 11-14 year old players was 100 yards, what was the width?

Answers

The width was 70 yards.

Answer:

60 yards.

Step-by-step explanation:

We can use the concept of proportional relationships to find the width of the field for 11-14 year-old players.

The ratio of length to width of the field for 9 and 10 year-old players is:

75 yards : 45 yards

We can simplify this ratio by dividing both sides by 15:

5 yards : 3 yards

This means that for every 5 yards in length, the field is 3 yards wide.

Now we can use this ratio to find the width of the field for 11-14 year-old players:

Ratio of length to width for 11-14 year-old players:

100 yards : w yards

where w is the unknown width.

We can set up a proportion using the ratio we found for the 9 and 10 year-old players:

5 yards : 3 yards = 100 yards : w yards

To solve for w, we can cross-multiply:

5 yards x w yards = 3 yards x 100 yards

5w = 300

w = 60

Therefore, the width of the field for 11-14 year-old players is 60 yards.

Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.
a. Elevation: above and below sea level
b. Money: credits and debits, deposits and withdrawals
c. Temperature: above and below 0 degrees
d. Football: loss and gain of yard

Answers

Answer:

http://www.westbranch.k12.oh.us/userfiles/185/Classes/50613/module%202%20lesson%201%20homework.pdf?id=119764

Step-by-step explanation:

this is a link, but its not showing up as one, so just copy and paste that into ur search bar

Which expression is equivalent to (0.5n−0.3)−(0.8n−0.9)?

Answers

Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

Answer:

-0.3n + 0.6

Step-by-step explanation:

We can eliminate the parentheses, obtaining:

0.5n - 0.3 - 0.8n + 0.9

and then combine like terms, obtaining:

-0.3n + 0.6

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