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
notka56 [123]
3 years ago
8

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p

lus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

12 pound

Step-by-step explanation:

Let x be the weight of the package.

For Lone Star Shipping, the cost will be:

2x + 14

For Discount Shipping Company, the cost will be:

1.5x + 20

We hence equate these two expressions equal to each other, since the cost should be same.

2x + 14 = 1.5x + 20 \\2x - 1.5x = 20 -14\\0.5x = 6\\x = 6 \div 0.5\\x = 12

You might be interested in
Consider the linear transformation T from V = P2 to W = P2 given by T(a0 + a1t + a2t2) = (2a0 + 3a1 + 3a2) + (6a0 + 4a1 + 4a2)t
Svet_ta [14]

Answer:

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

Step-by-step explanation:

First we start by finding the dimension of the matrix [T]EE

The dimension is : Dim (W) x Dim (V) = 3 x 3

Because the dimension of P2 is the number of vectors in any basis of P2 and that number is 3

Then, we are looking for a 3 x 3 matrix.

To find [T]EE we must transform the vectors of the basis E and then that result express it in terms of basis E using coordinates and putting them into columns. The order in which we transform the vectors of basis E is very important.

The first vector of basis E is e1(t) = 1

We calculate T[e1(t)] = T(1)

In the equation : 1 = a0

T(1)=(2.1+3.0+3.0)+(6.1+4.0+4.0)t+(-2.1+3.0+4.0)t^{2}=2+6t-2t^{2}

[T(e1)]E=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

And that is the first column of [T]EE

The second vector of basis E is e2(t) = t

We calculate T[e2(t)] = T(t)

in the equation : 1 = a1

T(t)=(2.0+3.1+3.0)+(6.0+4.1+4.0)t+(-2.0+3.1+4.0)t^{2}=3+4t+3t^{2}

[T(e2)]E=\left[\begin{array}{c}3&4&3\\\end{array}\right]

Finally, the third vector of basis E is e3(t)=t^{2}

T[e3(t)]=T(t^{2})

in the equation : a2 = 1

T(t^{2})=(2.0+3.0+3.1)+(6.0+4.0+4.1)t+(-2.0+3.0+4.1)t^{2}=3+4t+4t^{2}

Then

[T(t^{2})]E=\left[\begin{array}{c}3&4&4\\\end{array}\right]

And that is the third column of [T]EE

Let's write our matrix

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

T(X) = AX

Where T(X) is to apply the transformation T to a vector of P2,A is the matrix [T]EE and X is the vector of coordinates in basis E of a vector from P2

For example, if X is the vector of coordinates from e1(t) = 1

X=\left[\begin{array}{c}1&0&0\\\end{array}\right]

AX=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]\left[\begin{array}{c}1&0&0\\\end{array}\right]=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

Applying the coordinates 2,6 and -2 to the basis E we obtain

2+6t-2t^{2}

That was the original result of T[e1(t)]

8 0
3 years ago
What type of money is non convertible and has no intrinsic worth?
GuDViN [60]

The answer is Flat Money

7 0
3 years ago
How are you supposed solve x
Sergeeva-Olga [200]
Because the lines are parallel, 75 is equal to 11x-2
75=11x-2
77=11x
x=7
7 0
3 years ago
Read 2 more answers
Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 1
olga_2 [115]
<span>Answer: a) Greater than or equal to 38 feet b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2(length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a)Length ≥ 38 ft b)since there is no restriction on the perimeter there exists many possible values for length of deck.</span>
4 0
3 years ago
A truck and a SUV are 315 miles apart when they start moving towards each other on a straight road. The speed of the SUV is 55 w
dedylja [7]
The answers 50, you would subtract the truck from the SUV.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the volume of the 3-D composite figure please!! show how you got the volume
    6·1 answer
  • Jana buys 2 bags of dog dood for her dog one bag weighs 39 pounds .The other weighs 15 pounds.How many pounds do both bags weigh
    6·2 answers
  • What is the slope intercept form of the equation of the line up passes through the points (7,-5) and (3,-9)
    13·1 answer
  • Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Sel
    6·2 answers
  • I need help with this proof i am struggling w geometry...
    14·1 answer
  • For the following linear system, put the augmented coefficient matrix into reduced row-echelon form.
    9·1 answer
  • Joanne is planning her spring garden. Plants cost an average of $4.95. She will be
    5·2 answers
  • At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?​
    14·1 answer
  • 14.) Which expression is equivalent to 2/3 X 5?<br><br>3x5÷2<br>2÷5x3<br>2x5÷3<br>3=2x5​
    10·1 answer
  • ∠A = ___∘<br> Round your answer to the nearest hundredth.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!