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
olchik [2.2K]
3 years ago
12

The sugar sweet company will choose from two companies to transport its sugar to market. The first company charges 5500 to rent

trucks plus an additional fee of 150.50 for each ton of sugar. The second company charges 4696 to run trucks plus an additional fee of 200.75 for each tun of sugar
Mathematics
1 answer:
Elden [556K]3 years ago
5 0
Call the amount of sugar x tons
+ <span>The first company charges 5500 to rent trucks plus an additional fee of 150.50 for each ton of sugar and we have spend: 5500+ 150.50x
+ </span><span>The second company charges 4696 to run trucks plus an additional fee of 200.75 for each tun of sugar </span>and we have spend<span>: 4696+ 200.75x

We solve x for </span>5500+ 150.50x> <span>4696+ 200.75x
or </span> 150.50x- <span>200.75x > </span>4696-5500
and  - 50.25x >  - 304
or x < 304:50.25= 6.049
So we have the answer
+ If we have at least 7 tons of sugar we choose the first company and if not we choose the second.
You might be interested in
What is 2 + 2 - 8 + 9 ( 36 + 900)
Sonbull [250]

Answer: The answer is 941

Brainlist?

Step-by-step explanation:

4 0
3 years ago
I really need help please
Arturiano [62]
This is true. you don't need to provide a counterexample
6 0
3 years ago
A rectangle has a width of 4 inches and a length of 6 inches. A similar rectangle has a width ​
qaws [65]

Answer:

Step-by-step explanation:

6 times 4 is 24 so the answer is 24

3 0
4 years ago
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less th
murzikaleks [220]

Answer:

Ricky get $4 than Sam.

Step-by-step explanation:

.25x80=20

80-20=60

.30×80=24

80-24=56

5 0
3 years ago
Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a de
Ganezh [65]

Answer:

a. \mathbf{Y(s) = L \{y(t)\} = \dfrac{7}{s(s+1)}+ \dfrac{e^{-3s}}{s+1}}

b. \mathbf{y(t) = \{7e^t + e^3 u (t-3)-7\}e^{-t}}

Step-by-step explanation:

The initial value problem is given as:

y' +y = 7+\delta (t-3) \\ \\ y(0)=0

Applying  laplace transformation on the expression y' +y = 7+\delta (t-3)

to get  L[{y+y'} ]= L[{7 + \delta (t-3)}]

l\{y' \} + L \{y\} = L \{7\} + L \{ \delta (t-3\} \\ \\ sY(s) -y(0) +Y(s) = \dfrac{7}{s}+ e ^{-3s} \\ \\ (s+1) Y(s) -0 = \dfrac{7}{s}+ e^{-3s} \\ \\ \mathbf{Y(s) = L \{y(t)\} = \dfrac{7}{s(s+1)}+ \dfrac{e^{-3s}}{s+1}}

Taking inverse of Laplace transformation

y(t) = 7 L^{-1} [ \dfrac{1}{(s+1)}] + L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{(s+1)-s}{s(s+1)}] +L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{1}{s}-\dfrac{1}{s+1}] + L^{-1}[\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{e^{-3s}}{s+1}]

L^{-1}[\dfrac{1}{s+1}] = e^{-t}  = f(t) \ then \ by \ second \ shifting \ theorem;

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{f(t-3) \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

L^{-1}[\dfrac{e^{-3s}}{s+1}] = \left \{ {{e^{(-t-3)} \ \ \ t>3} \atop {0 \ \ \ \ \ \  \ \  \ t

= e^{-t-3} \left \{ {{1 \ \ \ \ \  t>3} \atop {0 \ \ \ \ \  t

= e^{-(t-3)} u (t-3)

Recall that:

y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]

Then

y(t) = 7 -7e^{-t}  +e^{-(t-3)} u (t-3)

y(t) = 7 -7e^{-t}  +e^{-t} e^{-3} u (t-3)

\mathbf{y(t) = \{7e^t + e^3 u (t-3)-7\}e^{-t}}

3 0
3 years ago
Other questions:
  • Calculate population variance from population standard deviation
    9·1 answer
  • A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of th
    8·1 answer
  • There is a relationship between the shaded part of each design and the unshaded part. Describe this relationship.
    9·2 answers
  • What is the quotient a-3/7÷3-a/21
    13·2 answers
  • For every 12 students that wore sneakers, there were 9 students that wore boots. How many students wore sneakers if 24 students
    5·2 answers
  • Which is the product?
    5·2 answers
  • A number n tripled equals -27
    11·2 answers
  • What is the closest whole number?
    11·1 answer
  • Wich is the solution for -7x &gt; 49 ?
    8·1 answer
  • What is the solution set for this inequality?<br><br> -8x + 40<br><br> -16
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!