Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company charges a fee of $10 to ship a medium box, plus an additional $7 per kilogram. A second shipping company charges $15 for the same size of the box, plus an additional $6 per kilogram. At a certain weight, the two shipping methods will cost the same amount. What is that weight? How much will it cost?

Answers

Answer 1

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

 

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K


Related Questions

A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?

Answers

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]

[tex]C^{2}[/tex] = 49 + 144

[tex]C^{2}[/tex] = 193

C = [tex]\sqrt{193}[/tex]

C = 13.89 feet

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]

Hence, the length of the rope is 13.89ft.

To know more about Pythagoras theorem here

https://brainly.com/question/343682  #SPJ2

Equations on both sides
3x + 5 = 2x -17

Solve it and show the work because i need to show the work

Answers

The answer would be for this problem is -22

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

Help me with this please

Answers

Answer:

1. 5

2. 8

Step-by-step explanation:

number one is 5 and number 2 is 8

How wide is the pond?

Answers

20ft

Step-by-step explanation:

lil kitty on the roof all aloe without his lady

A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.

Answers

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his son

TO FIND :-

The present ages of the man & his son.

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

[tex]=> 5x - 4 = 13(x - 4)[/tex]

Now , solve the equation.

Open the brackets in R.H.S.

[tex]=> 5x - 4 = 13x - 52[/tex]

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

[tex]=> 13x - 5x = 52 - 4[/tex]

[tex]=> 8x = 48[/tex]

Divide both the sides by 8

[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]

[tex]=> x = 6[/tex]

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

A rectangle prism has a base with an area of 20 square centimeters and a height of 3 centimeters. What is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

The volume of a rectangular prism is shown below:

We are given the an area of  

173.6

 

cm

and a height of  

9

 

cm

.

We also know that the formula for area is  

l

w

, meaning we can substitute the area for  

l

w

in the volume formula.

Now let's plug in what we know into the formula and solve for the volume:

V

=

(

173.6 cm

2

)

(

9 cm

)

 

 

=1562.4 cm

3

The volume of the rectangular prism is  

1562.4 cm

3

.

The point (3, -1) is on the line given by which equation below?


A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x

Answers

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

(x, y) = (3, -1)

y = x - 4

y = 3 - 4

y = -1

#CMIIW

how do you factor this trinomial? 2x² + 9x - 18

Answers

Factor by grouping.

(2x + 3)(x − 6)

Answer:

(2x-3) (x+6)

Hope this helps :)

hello there. can you help with this. thank you :D

you get 20 points ^^

Answers

Answer:

A - 3

B - 5

C - 1

D - 2

E - 6

F - 4

Sorry too tired to explain ;-;

But hope this helped, and yes, it is for sure correct!

(pls consider brainliest? :D)

If you had a triangle with side lengths of 4 and a scale factor of 3, what would be the new side lengths of the triangle?

Answers

Answer:

1.3

Step-by-step explanation:

new side lengths = original length / scale factor

4/3 = 1.3


-30 = -5
Pls help
...

Answers

Answer:

-25

Step-by-step explanation:

-30+5 = -25

I need the explanation the most.
Answer and I you will get 8 years of good luck

Answers

Answer:

i think 8

Step-by-step explanation:

Why can't 6cm 5cm 8cm make a triangle

Answers

Because all of the sides should be the same length.

Answer:

They can, the lines just need to be sloped

a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball

Answers

Answer:

168.5 m/s^2

Step-by-step explanation:

A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)?

Answers

Answer:

900 cubic feet

Step-by-step explanation:

Volume = length x width x height

= 10 x 20 x 4.5

= 900

1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the views are not shown.

So, I will answer this question with the attached views of a rectangular prism.

Required

The number of cubes used

For the attached views of the rectangular prism, we will make use of the following representations

Top view [tex]\to[/tex] Width

Front view [tex]\to[/tex] Height

Side view [tex]\to[/tex] Length

So, we have:

[tex]Width = 2 units[/tex]

[tex]Height = 6 units[/tex]

[tex]Length = 1\ unit[/tex]

The number of cubes is calculated by solving for the volume of the prism.

For a rectangular prism, the volume is:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 2 * 6 * 1[/tex]

[tex]Volume = 12[/tex]

This implies that 12 cubes were used to build the solid.

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

Answers

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

Find the distance:
Speed = 99 km/h, Time = 40 mins

Answers

Step-by-step explanation:

Speed= distance/time

Speed=99 km/h /40 mins

Speed= 2,475 km/h

Answer:60km

Step-y-step explanation:

distance=Speed*Time

distance=90*(40/60)=60km

50 POINTS PLZ HELP NO LINKS This renewable energy project promises to provide numerous benefits to our state. These include an increase in jobs and a secure and sustainable source of energy. This project will make dollars and make sense for all of us. What effect is the underlined phrase meant to have on the argument?

1 It intends to show how important jobs in renewable energy will become.

2 It emphasizes humor to help make the subject more interesting to readers.

3 The pun on sense helps call attention to the economic soundness of the project.​

Answers

Answer: 3 The pun on sense helps call attention to the economic soundness of the project.​

Step-by-step explanation:

The underlined phrase is the last statement and it is a pun that is meant to show that the plan is a good one because it will both increase jobs and is good for the environment which means that it is sound from both an economic and an environmental perspective.

In using the pun, the entire argument for the project was summarized to show the basic benefits of the plan and show how it would benefit the people.

Drop your favorite American Horror Story character for 5 easy points​

Answers

Answer:

the clown plz mark brainliest

Answer:

TATE AND BROOKE THOMPSON or any of emma roberts characters

Can 1-9 be solved please ANSWER FAST!!!

Answers

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

Find the ratio in simplest form.

a) 24 to 56​

Answers

i’ll show you step by step
24:56
12:28
6:14
3:7

39. If one student can complete the decorations for the prom in 5 days
working alone, another student could do it in 3 days, and a third could
do it in 4 days, how long would it take them working together?

Answers

Answer:

1.3 days

Step-by-step explanation:

1/5+1/4+1/3

12/60+20/60+15/60= 47/60

60/47

=1.3

A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

The dot plots show the numbers of miles Nicole rode on her bicycle on several days in two
different months.
March
April
X
>
10
10
Number of Miles Biked Each Day
Number of Mies Biked Each Day
Which statement is best supported by the information?
A. The distribution of the data is approximately symmetrical for both sets of data
B. The mean of the number of miles Nicole rode each day in April is greater than the mean of
the number of miles Nicole rode each day in March
C. The range of the number of miles Nicole rode each day in March is equal to the range of the
number of miles Nicole rode each day in April
D. The median of the number of miles Nicole rode each day in March is less than the median
of the number of miles Nicole rode each day in April
No

Answers

is C also study ur media median and range

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2
marbles one after the other without replacement, then what is the probability that both
are red in color? Are the two events independent or dependent?

Answers

30/210 simplified to 1/7 i think

3 cm 15 cm 18 cm What volume of nuts could the container hold? a 270 cm b 869 cm c 738 cm d810 cm​

Answers

Answer:

d-810 cm

Step-by-step explanation:

mutiply

3x15x18=810

The perimeter of a square is 100. The side length is represented by 2x+3. Solve for x.

Answers

Answer:

4×side length=perimeter of the square

4×(2x+3) = 100

2x+3 = 25

2x=25-3=22

x=11

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

If the price of a hot dog is x, then the price of two hot dogs is 2x, and the price of 3 of them is 3x.

If the price of a drink is y, then the price of 2 drinks is 2y.

So, we have the price of 2 hotdogs and 2 drinks is 4.75.

  2x + 2y = 4.75

And the price of 3 hot dogs and 1 drink is 7.75.

  3x + y = 7.75

This pair of equations matches those in choice A.

_____

Comment on the question

We know right away that something is screwy here, because the cost of two hotdogs and 2 drinks should be an even number. 4.75 is not an even number. If we solve this set of equations, we find the cost of a drink is negative—not something you're likely to see in the real world.

So, this is an exercise in writing equations. It has nothing to do with finding real prices.

What is the fractional form of 0.02?

А. 2/99
B. 1/11
C. 2/100
D.1/12

Answers

The answer is c because the 2 is in the 100ths place
Other Questions
so who said i was not good at math???? me i did lol On January 1, 2020, Indian river groves began construction of a new citrus processing plant. The automated plant was finished and ready for use on September 30, 2021. Expenditures for the construction were as follows:Jan 1, 2020. $600,000Sept 1, 2020. $1800,000Dec 31, 2020 $1800,000March 31,2021. $1800,000Aug 31, 2021. $1200,000Indian river groves borrowed $800,000 at 10% interest rate from a bank on Jan 1, 2020 specifically to finance this construction. In addition, it as has two other debt outstanding throughout the entire construction. A) $1500,000, 8%, 10 years bonds payable and B) $3,200,000, 10%, 5 years note payable. Fiscal year-end is Dec 31.Instruction:A. What are the weighted-average accumulated expenditures for 2020 and 2021, respectively?B. How much interest should be capitalized in 2020? Show your calculation. Find the radius of a circle, when the diameter is 29 cm 39. If one student can complete the decorations for the prom in 5 daysworking alone, another student could do it in 3 days, and a third coulddo it in 4 days, how long would it take them working together? Which of these countries had to recover from the destruction of the atomicbomb after World War II?A. GermanyB. AustriaC. ItalyD. Japan In a well-developed paragraph (six to seven sentences), describe how you think your world would be different if you were unable to see or hear.Choose any three of the following to include in your response. BE SURE TO EDIT!* Describe the things you would miss the most.* Discuss how you would communicate with your friends, your family, and others.* How do you think you would feel going out in public knowing you had an obvious disability?* How would you express your feelings and ideas? Are data that do not support a hypothesis useful?A. Yes, because the data prove that the experiment was designedpoorlyB. Yes, because the data provide useful information that can lead tomore testingC. No, because the data show that the experiment failedD. No, because the data must be inaccurate Describe biotechnology and provide 3 examples. Which literary device does Browning use in this sonnet?es ))A)allusionB)onomatopoeiaC).dramatic ironyD)extended metaphor Jonah has a 3-pound bag of soil todistribute equally between 6 flower pots.How much soil will be in each pot? 3 Divided 6 = 3 or 6 Divided 3 = 2????????? - 6 Sometimes we do certain things because other people want us to do them. Express this using the verbs in parenthesis. (ser) Esos nios ___________________ obedientes.~ Sus padres exigen que...Will reward Brainliest if its the genuine RIGHT answer. 11 There are 20 marbles in a bag. 0/1 . 4 marbles are green. 7 marbles are red. 5 marbles are white. 4 marbles are purple. Based on this information, what is the probability a marble choosen will be green or purple? Show Your Work y Green y Purple u 8 8 20 5 4 + 20 marbles You have responded to 11 of 11 questions 1 response does not have any content. Help me with this please A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)? If you had a triangle with side lengths of 4 and a scale factor of 3, what would be the new side lengths of the triangle? The perimeter of a square is 100. The side length is represented by 2x+3. Solve for x. Which is a chemical property?A. MassB.flammability The dot plots show the numbers of miles Nicole rode on her bicycle on several days in twodifferent months.MarchAprilX>1010Number of Miles Biked Each DayNumber of Mies Biked Each DayWhich statement is best supported by the information?A. The distribution of the data is approximately symmetrical for both sets of dataB. The mean of the number of miles Nicole rode each day in April is greater than the mean ofthe number of miles Nicole rode each day in MarchC. The range of the number of miles Nicole rode each day in March is equal to the range of thenumber of miles Nicole rode each day in AprilD. The median of the number of miles Nicole rode each day in March is less than the medianof the number of miles Nicole rode each day in AprilNo what are the two thing that can happen when snow start to melt 2+4 help please i will fail 6th grade