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

Write a word problem the equation -8f - 7 = -47

Answers

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Determine the value of x in the triangle shown. answers: 48° 42° 228° 132°

Answers

Answer:132

Step-by-step explanation:

Answer:

132°

Step-by-step explanation:

first find the interior angle of the triangle.

the interior angle of a triangle is 180°

90°+42°+y°=180°

132°+y°=180°

y°=180°-132°

y°=48°

(y° represents the empty part).

angle on a straight line is equal to 180°

y°+x°=180°

48°+x°=180°

x°=180°-48°

x°=132°

1. (6.2 lesson) Calculate the value of z. (Round to the hundredth) *

z

18

520

22.84

O 29.24

O O O O

18.24

0.04

This is a required question

Answers

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, I would explain how to calculate the value of Z

The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:

[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]

PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,

Answers

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Which of the following points are solutions to the inequality below check all that apply ​

Answers

Answer:

A, C, and D

Step-by-step explanation:

By substituting the values of each of the points into the inequality, you can determine that A, C, and D are the correct answers.

PLEASEEE HELPPPPPPPjjsek

Answers

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Please help lots of points

Answers

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Please help this is due in 30 minutes!​

Answers

Answer:

[tex]1.\ 12\ feet = 4\ yards[/tex]

[tex]2.\ 4\ miles = 21120\ feet[/tex]

Step-by-step explanation:

Given

12 feet = _____ yard

4 miles = ____ feet

To start with;

we need to understand the unit of conversion between the two measurements;

1. 12 feet = _____ yard

To convert from feet to yard;

[tex]1\ foot = \frac{1}{3} yard[/tex]

This implies that;

[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]

[tex]12\ feet = \frac{12}{3} yard[/tex]

[tex]12\ feet = 4\ yards[/tex]

2. 4 miles = ____ feet

To convert from miles to feet;

[tex]1\ mile = 5280\ feet[/tex]

This implies that;

[tex]4\ miles = 4 * 5280 feet[/tex]

[tex]4\ miles = 21120\ feet[/tex]


a) Mr.Wilson bought a mountain bike for Rs 7,600 and sold it at 10% profit. If he had bought it for Rs 8,000, what would be his profit or loss percent?​

Answers

Answer:

[tex]5\%[/tex] loss.

Step-by-step explanation:

[tex]7600 \times (1+10\%)[/tex]

[tex]7600 \times 1.1=8360[/tex]

[tex]8000 \times (1+10\%)[/tex]

[tex]8000 \times 1.1=8800[/tex]

His loss is Rs 440.

[tex]\frac{440 \times 100}{8800}[/tex]

[tex]=5[/tex]

Answer:

Profit %age = 4.5 %

Step-by-step explanation:

Mr. Wilson bought the bike for = Rs 7,600

Profit %age = 10% of 7,600

Profit = [tex]\frac{10}{100}* 7600[/tex]

Profit = Rs 760

Amount in which the bike is sold = 7600 + 760 = Rs 8360

If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,

So he would still be

having a profit of Rs. 360

How much Profit %age:

Profit % age = [tex]Profit * 100/CP[/tex]

Profit %age = 360 * 100 / 8000

Profit % age = 36,000 / 8000

Profit %age = 4.5 %

Betty spent 50 minutes on solving 25 questions. If she spent the same amount of time solving each question, how long would it take to do 30 questions

Answers

Answer :
50 divided by 25 = 2
2 times 30 = 60
60 minutes
60 minutes

50 divided by 25=2
2x30=60 hope this helps buddy

Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5

Answers

They need to switch the sign to switch the sign at the end. The answer should be -5>x

Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).

Answers

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.

Answers

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?

Answers

Answer:

15 years old.

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.

StartRoot 5 EndRoot mi

3 StartRoot 5 EndRoot mi

15 StartRoot 5 EndRoot mi

45 StartRoot 5 EndRoot mi

Answers

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

The total sales made by a salesperson was $25,000 after 3 months and $68,000
after 23 months. Predict the total sales after 41 months.
$ 106,742
$106,670
$106,800
$106,700

Answers

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Slide the green dot from 0 to plot the number at the correct
location
Pablo owes his sister $9. His sister Nina owes their
mother three times that amount. What number on the
number line represents Nina's debt?
Plot 9
9
?
-30 -27 -24 21 -18 -15 -12 -9

Answers

The answer would be 27 becuase Pablo over the sister 9 dollars and Nina owes the mother 3 times that amount 9x3 = 27 she is out of pocket 27 ... she loses 27 of her money so -27

WILL MARK BRAINLIEST ANSWER Solve the formula for the specified variable. V = XLJ for X

Answers

Answer:

X = (V / LJ)

Step-by-step explanation:

V = XLJ

Since you're isolating X, divide both sides by (LJ)

(V / LJ) = X

Find P(Not a 3)????????????

Answers

Answer:

0.85

Option B is the right option.

Solution,

P(3)=0.15

P(Not a 3)=1-P(3)

=1-0.15

=0.85

Hope this helps...

Good luck on your assignment

Answer:

I think it's c im not to sure

Step-by-step explanation:

Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81

Answers

(D) hope this helps kxjdndldjdkwpwnx
I got D 1.81 so try it

Keenan is making a model of a stadium using a scale in which 0.25 centimeters equals 10 feet. If the actual length of the stadium is 300 feet, how long is the model, in centimeters? Your answer can be exact or rounded to two decimal places. the answer is not (75,1200, or 9144.0 cm)

Answers

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?

1.) 2600

2.) 234

3.) 260

4.) 2106

Answers

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

what is the length of DE?

Answers

the answer to the question is a. 9
I’m pretty sure the answer is A


If there are 80 toys in a shop, 40% of them are for boys. 50% of the boy's toys and 50% of the girl's toys are made by the shop owner. How many more girl's toys than boy's are made by the owner?

Answers

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

8 more toys

40% of 80=32 (boy toy)
60% of 80=48 (girl toy)

50% of 32 is 16
50% of 48 is 24

24-16=8

What is the volume of the cube below?

Answers

Answer:

C

Step-by-step explanation:

V=lwh

4 times x times x

4 x^2

Answer will be C: 4x^2

This is because the volume will be 4 x 4 x 4= 32. In order for it to be 32, the x will be plugged in with a 4. So: 4 x (4^2) = 32

What is the vertex of the graph of the function below? y = x^2 - 4x + 3 A. (1, -1) B. (1, 0) C. (2, -1) D. (2, 0)

Answers

Answer: (1, 0)

Step-by-step explanation:

Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.

(0) = (1)^2 - 4(1) + 3

0 = 1 - 4 + 3

0 = -3 + 3

0 = 0

Answer:

(2, -1)

Step-by-step explanation:

Ap3x

What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)​

Answers

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?

Answers

Answer:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Step-by-step explanation:

Given

K(1,0)

L(1,4)

M(5,4)

N(5,0)

Scale Factor = 1/4

Dilation with center (0,0)

Required

New coordinates of the quadrilateral

To get the new coordinates, we simply multiply the scale factor with each coordinate;

This is done as follows;

[tex]If\ K =(1,0),\ then;[/tex]

[tex]K' = \frac{1}{4} * (1,0)[/tex]

[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]If\ L =(1,4),\ then[/tex]

[tex]L' = \frac{1}{4} * (1,4)[/tex]

[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]If\ M =(5,4),\ then[/tex]

[tex]M' = \frac{1}{4} * (5,4)[/tex]

[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]If\ N =(5,0),\ then[/tex]

[tex]N' = \frac{1}{4} * (5,0)[/tex]

[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

Hence, the coordinates of the dilated figure are:

[tex]K' = (\frac{1}{4} ,0)[/tex]

[tex]L' = (\frac{1}{4} ,1)[/tex]

[tex]M' = (\frac{5}{4} ,1)[/tex]

[tex]N' = (\frac{5}{4} ,0)[/tex]

I WILL GIVE BRAINLEIST TO WHOEVER ANSWERS THIS FIRST
Is the value of 9−y twice as much as the value of y?

Answers

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

Can somewon please help me?

Answers

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

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