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3 years ago

15

A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental,

write and solve an inequality to find how many hours she can rent the bicycle and not spend more than $27. Interpret the solution. Show your Work.

2 answers:

Ilya [14]3 years ago

6 0

The total cost for X hours is the fixed cost of $15 plus the variable cost of $4 per hour which is equal to 4*X, so the total cost is 4*X + 15

If Margie does not want to spend more than $27 then the inequality is

4*X + 15 <= 27

4*X <= 12

X <= 3

If Margie does not want to spend more than $27 then she cannot rent the bicycle for more than 3 hours

Hitman42 [59]3 years ago

4 0

Answer:

<h2>3 hours</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
inequality word problems
solving word problems

<h3>let's create the inequality:</h3>

let's every hour be x

first condition

<h3>A rental company charges $15 </h3>

therefore,

15

<h3>plus $4 per hour to rent a bicycle. </h3>

therefore

15+4x (as per our is x)

last condition

<h3>Margie does not want to spend more than $27 for her rental,</h3>

therefore,

15+4x≤27 (≤ is because as it says"does not want to spend more than $27"

<h3>let's solve:</h3>

few things about solving inequality

the direction of the inequality won't change

if

Add (or subtract) a number from both sides
Multiply (or divide) both sides by a positive number
Simplify a side

the direction of inequality will change

if

Multiply (or divide) both sides by a negative number
Swapping left and right hand sides

$step - 1 \colon \: define$

$15 + 4x \leqslant 27$

$step - 2 \colon \: \\ subtract \:15 \: from \: both \: sides$

$15 - 15 + 4x \leqslant 27 - 15$

$4x \leqslant 12$

$step - 3 \colon \: \\ divide \: both \: sides \: by \: 4$

$\frac{4x}{4} \leqslant \frac{12}{4}$

$x \leqslant 3$

$\therefore \: she \: can \: rent \: the \: bicycle \: for \: 3 \: hours$

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(2x105)/(3x103) + 3x103 * 5x102

AleksAgata [21]

Answer:

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Step-by-step explanation:

Given: $(2\times10^{5} )/(3\times 10^{3} ) + 3\times10^{3} \times 5\times10^{2}$

Now, simplifying it.

Using PEDMAS in solving the expression

First opening the parenthesis

= $2\times10^{5} /3\times 10^{3} + 3\times10^{3} \times 5\times10^{2}$

Next dividing the number

as per law of indices, $x^{m} \div x^{n} = x^{m-n}$

= $2\times10^{5-3} /3 + 3\times10^{3} \times 5\times10^{2}$

= $2\times10^{2} /3 + 3\times10^{3} \times 5\times10^{2}$

= $\frac{2\times10^{2} }{3} + 3\times10^{3} \times 5\times10^{2}$

Next multiplying the number as per PEDMAS

as per law of indices, $x^{m} \times x^{n} = x^{m+n}$

= $\frac{2\times10^{2} }{3} + 15\times10^{3+2}$

= $\frac{2\times10^{2} }{3} + 15\times10^{5}$

= $\frac{2\times 100}{3} + 15\times10^{5}$

Next dividing the number as per PEDMAS

= $2\times 33.33 + 15\times10^{5}$

Next multiplying the number as per PEDMAS

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3 years ago

Help lol please i don’t know which one it is

Lana71 [14]

Answer:

I think your correct

Step-by-step explanation:

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4 years ago

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grandymaker [24]

Answer:

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H0: $\sigma \geq 15$

H1: $\sigma$

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2) For this case we want to check if the population mean $\mu$ is at most 70000 (alternative hypothesis) and the system of hypothesis are:

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Step-by-step explanation:

Previous concepts

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The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

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H0: $\mu \geq 70000$

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Mrac [35]

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To get the slope of the line, we select any two points on the line and apply the slope formula

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