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

x+y=3
2x-y=0
substituition method

Answers

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%

Answers

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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Find the quotient. 1,329 ÷ 4

Answers

Answer:

Quotient is basically division.

Step-by-step explanation:

1329/4 is basically

332.25 is the answer

Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128

Answers

Answer:

7

Step-by-step explanation:

please explain this got a final tomorrow

Answers

Answer:

9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8

Those are the right answer

Answers

Answer:

100 yes there are trust me

Need help i attached images below i will give brainly to who ever answers first

Answers

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

Which TWO systems of linear equations are solved correctly?

Answers

The detailed answer is in the images I have attached.

Hope it helps you...

Kindly mark as Brainlliest!!!

PLEASE PLEASE HELP!!!!!

The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. Starting with Attempt 1, how many additional
attempts did it take to improve by 60 seconds?

Answers

Answer:

A

Step-by-step explanation:

i think it’s c bc 124-60

If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Answers

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

                  - 5x² - 14x + 24

                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |

A toy store had 876 games. It sold 25 of these games. How many games are at the store now?

Answers

Answer:

it now has 851 games left

Step-by-step explanation:

851,
Simple subtraction! 851-25= 851

Gina Wilson all things algebra unit 4 homework 3 questions 12-15

Answers

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7

En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?

Answers

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

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PLEASEEE HELP ME WITH THIS!!!

Answers

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

One-half of the sum of a number and 12 is less than 27.  What is the number?  Write as an inequality.  ​

Answers

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

will give brainliest no files will report.

Answers

I believe the correct answer would be C!

4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept

B. y-intercept

C. Slope

Answers

Answer:

[tex] \sqrt[6]{729} [/tex]

find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1

Answers

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

Given that 2x/5=3y/8, find the ratio of X:y

Answers

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.​

Answers

Answer:
8.75lb :)

Explanation:
12.5 - 3 3/4 = 8.75lb

Answer:

8.75lb

Step-by-step explanation:

pls mark brainliest :)

Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?


please help with explanation !

Answers

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

Help snsnsnansnsnsnsns

Answers

Answer:

answer is 420-69

Step-by-step explanation:

because those numbers are great


The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?

Answers

Answer:  52 boys

==================================================

Explanation:

g = number of girls

g+26 = number of boys because there are 26 more compared to girls

The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g

number of boys = 2*(number of girls)

g+26 = 2g

26 = 2g-g

26 = g

g = 26

There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.

750[tex]\geq[/tex](12+x)(24+x)

Answers

Answer:

Step-by-step explanation:

I beg you please help me with this

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?

Answers

Answer:

2.5 glasses of water

Step-by-step explanation:

Answer:

he drank 2 and a half glasses of water

Step-by-step explanation:

all u have to do is add up 2 and 1/2 to see how much he drank in all

7x-12y=180 7x=84
i need someone to explain step by step

Answers

Answer:

x=12,y=-8

Step-by-step explanation:

7x=84

x=84/7=12

12y=7x-180=7*12-180=84-180=-96

y=-96/12=-8

The solution of 7x-12y=180 is x = 12 and y =-8.

What is an equation?

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, the equation;

7x-12y=180  {equation 1}

And 7x = 84

x = 84/7

x = 12

Substitute the value of x to the equation 1,

7(12) - 12y = 180

12y = 84 - 180

y = -96/12

y = -8

Therefore, x = 12 and y = -8 is the solution.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Jon performs the following calculation. (1) (2. 0) (3. 00) (4. 000). Which value from his calculation most strongly affects the number of significant figures in the answer? 1 2. 0 3. 00 4. 0.

Answers

Answer:

  (a)  1

Step-by-step explanation:

The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).

  1 most affects the number of significant digits in the answer

Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2

Answers

Answer:

D. x = 2y²

Step-by-step explanation:

The step in working out the inverse is to swap over the variables.

If we apply same to given equation, we'll have:

y = 2x²  → x = 2y²

It gives us the option D

Answer:

Option D

Step-by-step explanation:

y=2x²

Interchange x and y

x=2y²

Hence option D is correct

y²=x/2y=√x/2

Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?

Answers

Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

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