MATHEMATICS COLLEGE

Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a mile. How many miles can they travel and still keep within their $200 budget?

Answers

Answer 1

Answer:

Answer: 500 miles

Step-by-step explanation:

Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

= $75+ $0.25x

To keep budget within $200, we have following equation.

$75+0.25x=200\n\n\Rightarrow\ 0.25=200-75\n\n\Rightarrow\ 0.25=125\n\n\Rightarrow\ x=(125)/(0.25)=(12500)/(25)=500$

Hence, they can travel 500 miles and still keep within their $200 budget.

The six trigonometric functions, $\sin (\pi)/(4) =(1)/(√(2))$ , $\cos (\pi)/(4) =(1)/(√(2))$ , $\tan (\pi)/(4) =1$ , $\cot (\pi)/(4) =1$ , $\sec (\pi)/(4) =√(2)$ and $\csc (\pi)/(4) =√(2)$ .

Step-by-step explanation:

We have,

$(\pi)/(4)$

To write the six trigonometric functions = ?

$\sin (\pi)/(4) =(1)/(√(2))$

$\cos (\pi)/(4) =(1)/(√(2))$

$\tan (\pi)/(4) =1$

$\cot (\pi)/(4) =1$

$\sec (\pi)/(4) =√(2)$

$\csc (\pi)/(4) =√(2)$

∴ The six trigonometric functions, $\sin (\pi)/(4) =(1)/(√(2))$ , $\cos (\pi)/(4) =(1)/(√(2))$ , $\tan (\pi)/(4) =1$ , $\cot (\pi)/(4) =1$ , $\sec (\pi)/(4) =√(2)$ and $\csc (\pi)/(4) =√(2)$ .

-2a+5b-7-5a+b-4

please help lol

Answers

Answer:

-7a+6b-11

Step-by-step explanation:

-2a+5b-7-5a+b-4

Taking like term together

= -2a-5a+5b+b-7-4

= -7a+6b+11

Find an explicit solution (solved for y) of the given initial-value problem in terms of an integral function. dy/dx + 3y = e^x^5, y(2) = 5.

Answers

Answer:

Step-by-step explanation:

Using linear differential equation method:

\frac{\mathrm{d} y}{\mathrm{d} x}+3y=e^5^x

I.F.= $e^{\int {Q} \, dx }$

I.F.= $e^{\int {3} \, dx }$

I.F.= $e^(3x)$

y(x)= $(1)/(e^(3x))[\int {e^(5x)} \, dx+c]$

y(x)= $(e^(2x))/(5)+e^(-3x)* c$

substituting x=2

c= $(25-e^4)/(5e^(-6))$

Now

y= $(e^(2x))/(5)+e^(-3x)* (25-e^4)/(5e^(-6))$

A triangle on the coordinate plane has points located at (2,5) (5,9) and (8,5) what is the area of the triangle?

Answers

Answer:

123

Step-by-step explanation:

012+121

Other Questions

Consider an unreliable communication channel that can successfully send a message with probability 1/2, or otherwise, the message is lost with probability 1/2. How many times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once? Explain your answer. Hint: treat this as a Bernoulli process with a probability of success 1/2. The question is equivalent to: how many times do you have to try until you get at least one success?

two sides of an equilateral triangle measure (y+10) and (y^2(-2)). if the perimeter of the triangle is 21 units what is the value of y?

Answers to the question

Complete the pattern 0.095 9.5 950 95,000 9,500

Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a mile. How many miles can they travel and still keep within their $200 budget?

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The six trigonometric functions, , ,, , and .

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The six trigonometric functions, $\sin (\pi)/(4) =(1)/(√(2))$ , $\cos (\pi)/(4) =(1)/(√(2))$ , $\tan (\pi)/(4) =1$ , $\cot (\pi)/(4) =1$ , $\sec (\pi)/(4) =√(2)$ and $\csc (\pi)/(4) =√(2)$ .