1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
4 years ago
13

United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or

less and a surcharge for each additional pound (or fraction thereof). A customer is billed $21.85 for shipping a 44-pound package and $58.60 for a 1919-pound package. Find the base price and the surcharge for each additional pound. The base price is $ ___________.
Mathematics
1 answer:
jonny [76]4 years ago
7 0

Answer:

The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.

Step-by-step explanation:

United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.

Let the base price be $b and surcharge be $s.

For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.

For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.

Subtracting both the equation from each other we get 15s = 36.75

⇒ s = $2.45 and b = $14.50.

Thus the base price is $14.50.

You might be interested in
What multiplication fact can help you find 7 divided by 7
postnew [5]
The rule of Identity. X*1=X.
Divide both sides by x, and you get
X/X = 1
3 0
4 years ago
Read 2 more answers
Please help sorry lol I tried solving it
solmaris [256]

Answer:

F

Step-by-step explanation:

5 0
3 years ago
How many parallelograms are in an octagonal prism?
Snezhnost [94]

Answer:

In this way, two hexagons and a parallelogram with five inner lines are obtained. Each hexagon has six edges, therefore the prism will have more than 12 edges. At first glance, it is thought that the parallelogram contains nine edges (seven vertical and two horizontal).

6 0
3 years ago
The sum of three consecutive integers is 78. What are the three integers?
STALIN [3.7K]

We can represent our three consecutive integers as the following:

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum is 78, we can setup our equation:

x + (x + 1) + (x + 2) = 78

~simplify

3x + 3 = 78

~subtract 3 from both sides

3x = 75

~divide both sides by 3

x = 25

Since x = 25, x + 1 would be 26 and x + 2 would be 27.

So our three consecutive integers are 25, 26, and 27.

3 0
2 years ago
Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______
RoseWind [281]

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

 

 <em> x = 2  </em>         1       5       -9      -7

   <u>                   0       1       12     6</u>

  <u>                 1      6         3     </u><em><u> -1   </u></em><u>         </u>

 The quotient is x² + 6x +3

       Remainder  = -1      

5 0
3 years ago
Other questions:
  • Six sandwiches are being divided evenly by 4 friends.how many sandwiches will each friend get.
    13·2 answers
  • A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the
    8·1 answer
  • I’m confused. What are the true ones?
    9·2 answers
  • Equation of a line that passes through (2,4) and has a slope of 3. Point slope method
    15·1 answer
  • Tammy's weekly pay decreased from $850 to $790. Which of the following is closest to the
    9·1 answer
  • Which of the following mixtures will have a stronger coffee flavor? explain please thank you!!
    12·1 answer
  • Write the expression as an exponent with a base 2 and find its value:<br> 2^4*2
    14·2 answers
  • I need help with this question ​
    14·1 answer
  • What is the measure of NEED HELP ASAP!
    14·1 answer
  • Complete function tables part 2<br><br><br>please help i will mark as brainlyst<br>​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!