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2 years ago

13

A taxi charges $1.75 plus a fee of 0.75 $ for each mile traveled the total cost of a ride without a tip is $4.75 how many miles

is the trip

1 answer:

pshichka [43]2 years ago

3 0

The answer is 1.75miles.

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At maximum speed, an airplane travels 2,400 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sa

Hatshy [7]

X - y = 2400/6 = 400 where x = speed of plane and y = speed of wind.

x + y = 2400/5 = 480 - flying with the wind

adding the 2 equations
2x = 880
x = 440

Speed of the plane with no wind = 440 mph

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3 years ago

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A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma

IrinaVladis [17]

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when $M = 0.08$

We have that $\sigma = 0.72$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.08 = 2.575*\frac{0.72}{\sqrt{n}}$

$0.08\sqrt{n} = 2.575*0.72$

$\sqrt{n} = \frac{2.575*0.72}{0.08}$

$(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}$

$n = 537.1$

Rounding up

538 books should be tested.

6 0

2 years ago

the theaters sell tickets for a concert. tickets for the lower level are $35 each and tickets for the upper level are $25 each.

nasty-shy [4]

Equation 1 for tickets sold:
$35x + $25y = $10,250

Equation 2 for quantity (number #) of tickets sold:
x + y = 350

Use substitution method:

y = 350 - x

35x + 25 (350 - x) = $10,250

35x + $8750 - 25x = $10,250

10x + $8750 = $10,250
- $8,750 -$8,750

10x = 1,500

x = 150

y = 350 - 150

y = 200

Check the answers:

$35 (150) + $25 (200) =

$5,250 + $5,000 = $10,250

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2 years ago

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C. Write an equation of the line that contains the given point and has the given slope. Write the equation in slope intercept fo

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

For the first problem, we can plug in the slope of $-5$ for $m$ :

$y = -5x + b$

To solve for $b$ , we plug in the given point $(-2, 2)$ :

$2 = -5(-2) + b$

$2 = 10 + b$

$b = -8$

This gives us the equation:

$y = -5x -8$

For the second problem, we can plug in the slope of $1$ for $m$ :

$y = x + b$

To solve for $b$ , we plug in the given point $(0, -2)$ :

$-2 = 0 + b$

$b = -2$

This gives us the equation:

$y = x - 2$

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2 years ago

Solve this inequality <br> 5p > -30

Rina8888 [55]

$5p \ \textgreater \ -30 \\ \\ p \ \textgreater \ - \frac{30}{5} \\ \\ p \ \textgreater \ -6 \\ \\$

The final result is: p > -6.

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2 years ago

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