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3 years ago

A car rental costs a fee of $150 plus $35 per

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

5 hours

Step-by-step explanation:

We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.

$325 - $150 = $175

Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.

$175 ÷ $35 = 5 hours

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blondinia [14]

Answer:

1. 8/24

2. 9/27

3. 5/15

4. 10/30

5. 2/6

6.1/3

Step-by-step explanation:

Start with 1/3 then multiply that by the number that is given.

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3 years ago

A random sample of 330 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A d

avanturin [10]

Answer:

The result is significant.

Step-by-step explanation:

Here,

p = 30 ÷ 330 = 0.091

thus, q = 1 - p = 0.909

Also, $\sigma=\sqrt{\frac{pq}{n} }$

⇒ $\sigma=\sqrt{\frac{0.091\times0.909}{330} }=0.0158$

The z-score is:

$z=\frac{p-p_{0}}{\sigma}$

$z=\frac{0.091-0.05}{0.0158}=2.595$

Thus, at 95% confidence interval, p-value = 0.005

The result is significant at p < .05.

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3 years ago

Green’s Sport Shop offers its salespeople an annual salary of $10,000 plus a 6% commission on all sales above $20,000. Every emp

GalinKa [24]

Mr. Cahn’s total earnings in a year is $18,900.

<h3>What is the total earnings?</h3>

The total earnings is a function of the annual salary, commission and Christmas bonus.

Total earnings = annual salary + commission + Christmas bonus

Commission = 6% x (160,000 - 20,000)

6% x $140,000

0.06 x 140,000 = $8,400

Total earnings = $8,400 + 10,000 + $500 = $18,900

To learn more about addition, please check: brainly.com/question/19628082

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2 years ago

What is the slope-intercept equation of the line below?

Sedbober [7]

Answer:

$Consider points (3,5) and (2,-5) from the graph \\ slope = \frac{( - 5 - 5)}{(2 - 3)} \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c = - 25 \\ y = 10x - 25 \\ \frac{y}{5} = 2x - 5$

7 0

3 years ago

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Answer:

B. $y = 5x + 3$

Step-by-step explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

$10(x + \frac{3}{5} ) = 2y$

Open the bracket

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify fraction

$10x + 6 = 2y$

Divide through by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

The next step is to compare each of option A through D with $y = 5x + 3$

$y = 5x + \frac{3}{10}$ is not equal to $y = 5x + 3$

We check the next available option

$y = 5x + 3$ is equal to $y = 5x + 3$

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

$y = \frac{1}{5} x + \frac{3}{25}$

Convert fraction to decimal

$y = 0.2x + 0.12$

This is not equal to $y = 5x + 3$

$y = \frac{1}{2} x + 6$

Convert fraction to decimal

$y = 0.5x + 6$

This is not equal to $y = 5x + 3$

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

7 0

3 years ago

Read 2 more answers