The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?

Answers

Answer 1

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

2c + 14 = 1.5c + 20

subtract 14 from each side to get:

2c = 1.5c + 6

subtract 1.5c from each side to get:

0.5c = 6

c = 6/0.5

c = 12

if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package


Related Questions

Helpppppppppppppppppppp

Answers

Answer:

x = -5

Step-by-step explanation:

f(x) = [tex]\frac{x+5}{4}[/tex]

Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.

[tex]\frac{x+5}{4}[/tex] = 0

We can start by multiplying both sides by 4.  Anything multiplied by 0 equals 0, so we have the following:

x + 5 = 0

Now, subtracting 5 from both sides in order to isolate x, we have:

x = -5

To check our work, let's substitute -5 into our equation:

f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]

0 divided by anything equals 0, so f(-5) = 0.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.


What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

150 because he bought them alot of yes 150 becaus mathamatics

Answer:

150 because he bought them

Step-by-step explanation:

Help mE ASAPPPPPPPP PLSSSSS

Answers

Answer:

I think its

B) CG

I hope its right

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?

Answers

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

Assuming lines m and n are parallel, what is the value of x?

Answers

If the two lines are parallel then the two angles are equal - vertically opposite angles are always equal:
6x - 7 = 4x - 1

First get all the x’s on one side and the numbers on the other:
6x - 4x = -1 + 7

This can be simplified:
2x = 6

Finally, divide both sides by 2:
x = 3

Hope this helps!

What is the slope of this line?

•5
•1/5
•-5
•-1/5

quick please

Answers

The slope of this line is -1/5

Cindy just became a personal trainer and is finalizing her pricing plans.

Answers

That’s great for Cindy :)

Answer:

Nice

Step-by-step explanation:

What is an equation of the line that passes through the points (-6, -5) and (-3, 0)?

Answers

Answer:

Y=5

Step-by-step explanation:

Find the value for each variable.

Answers

the value of variable x is 55 answer ok . angle q is 35 p is 90

M and P = 90
N and Q = 35
R= 55

solve for :
a_2=2(a_2+1) ​

Answers

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0

Hello! I need help with this

Answers

Answer:

y = -16.25

Step-by-step explanation:

[tex]26=-\frac{8}{5}y[/tex]

It can also be written as

[tex]26=\frac{-8y}{5}[/tex]

-8y = 26 * 5

-8y = 130

y = 130/-8 = - 65/4 = -16.25

Solve for y.

62=y−58.8

Enter your answer in the box.

y =

Answers

Answer:

120.8

Step-by-step explanation:

The value of y from the given equation is 120.8.

The given equation is 62=y-58.8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

Add 58.8 on both the sides of an equation, that is

62+58.8=y-58.8+58.8

⇒ y=120.8

Hence, the value of y from the given equation is 120.8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number

Answers

work backwards and do the opposite sign!
-90 / -5 = 18
18 + 12 = 30
We can then plug in 30 to the original to check the work
30 - 12 = 18
18 * -5 = -90

PLEASE HELPPPPPPPPPPPPPPPP!!!

Answers

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

6 years because 5% of 1000 is 50

When a fish is selected at random from a tank, the probability that it has a green tail is
0.48, the probability that it has red fins is 0.28, and the probability that it has both a
green tail and red fins is 0.22. What is the probability that the selected fish will not have
a red fin or a green tail?
O 98%
O 2%
O 54%
O 46%

Answers

Answer:

I think the answer to your question is 2%

Danny deposited $500 into a savings account that earns 2% interest annually. How much

money will he have after 25 years?

Answers

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight

Answers

Answer:

32.82

Step-by-step explanation:

Answer:

32.82 OUNCES

Step-by-step explanation:

It is really easy.

All you have to do is 5.47x6

Help please.

A canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer: 101°F

Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality

The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x

Answers

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

how would I solve this??
logx^125 = -3​

Answers

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

b = 10 (implied)x = [tex]x^{125}[/tex]y = -3

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.​

Answers

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

-2x(x+2)-(3-2x)(x+2)

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

help please i only have 10 mins left

a. parallel
b. perpendicular
c. neither

Answers

Answer:

they are perpendicular

Step-by-step explanation:

It’s B


Good luckkkkkkkkkkkkkk

The breadth of rectangle is 2cm .less then its length and its perimeter is 24cm.Find the length and breadth of rectangle

Answers

let Length=l

therefore breadth=l-2

A/Q

P=24

2(l+b)=24

2(l+l-2)=24

2(2l-2)=24

4l-4=24

4l=28

l=28/4

=7

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x+a) - H(x)/a

Answers

Answer:

Step-by-step explanation:

The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x

The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.

In this question

H( x) = x ^2

So if you see anything besides x on the left, then that's what goes on the right for x.

H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a

You can expand this, but I don't see a reason for doing it.

H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.

A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.

Answers

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

42/2 + 6 = X 21 + 6 = X 27 = X

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in https://brainly.com/question/14746652

Jenny has three times as many new toys as she has favorite toys.

Answers

answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

x2-4x+6=0

Someone help with solve this

Answers

Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32

how do i do this? geometry

Answers

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the​ field's dimensions?

Answers

The length of the rectangular field is 164 yards and the width is 41 yards

From the question,

We are to determine the fields dimensions

From the given information

A rectangular field is four times as long as it is wide

That is

l = 4w -------- (1)

The perimeter of a rectangle is given by

P = 2(l + w)

Where

P is the perimeter

l is the length

and w is the width

From the given information

The perimeter of the field is 410 yards

∴ 2(l + w) = 410 ------ (2)

Substitute equation (1) into equation (2)

2(4w + w) = 410

2(5w) = 410

10w = 410

∴  w = 410 ÷ 10

w = 41 yards

Substitute the value of w into equation (1)

l = 4(41)

l = 164 yards

Hence, the length of the rectangular field is 164 yards and the width is 41 yards.

Learn more here:  https://brainly.com/question/4958695

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