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2 years ago

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A bike shop rents each of its mountain bikes for a one-time $10.50 insurance charge plus $4.50 per hour. Which equation can be u

sed to find y, the total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours?

1 answer:

Alex Ar [27]2 years ago

8 0

Answer:

<u>The equation can be y = 37.50x</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

One-time insurance charge = $ 10.50

Rent per hour = $ 4.50

2. Which equation can be used to find y, the total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours?

y = Total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours

x = Number of bikes

Let's write the equation, this way:

y = 10.50x + 6 * 4.50 * x

y = 10.50x + 27x

<u>The equation can be y = 37.50x</u>

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Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)

goldenfox [79]

Answer:

The answer to your question is: y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

$m = \frac{y2 - y1}{x2 - x1}$

Substitution

$m = \frac{-3 - 5}{-3 + 6}$

Simplifying

$m = \frac{- 8 }{3}$

2.- Find the equation of the line

Formula

( y - y1) = m(x - x1)

Substitution

( y + 3) = -8/3 (x + 3)

Simplifying

y + 3 = -8/3 x - 8

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2 years ago

The aquarium at Sea Critters Depot contains 140 fish. Eighty of these fish are green swordtails (44 female and 36 male) and 60 a

maxonik [38]

Given that:

Total number of fish = 140

Fish are green swordtails female = 44

Fish are green swordtails male = 36

Fish are orange swordtails female = 36

Fish are orange swordtails male = 24

Solution:

A. We have to find the probability that the selected fish is a green swordtail.

$\text{P(green swordtail)}=\dfrac{\text{Total green swordtail fish}}{\text{Total fish}}$

$\text{P(green swordtail)}=\dfrac{80}{140}$

$\text{P(green swordtail)}=\dfrac{4}{7}$

Therefore, the probability that the selected fish is a green swordtail is $\dfrac{4}{7}.$

B. We have to find the probability that the selected fish is male.

$\text{P(Male fish)}=\dfrac{\text{Total male fish}}{\text{Total fish}}$

$\text{P(Male fish)}=\dfrac{36+24}{140}$

$\text{P(Male fish)}=\dfrac{60}{140}$

$\text{P(Male fish)}=\dfrac{3}{7}$

Therefore, the probability that the selected fish is a male, is $\dfrac{3}{7}.$

C. We have to find the probability that the selected fish is a male green swordtail.

$\text{P(Male green swordtail)}=\dfrac{\text{Total male green swordtail fish}}{\text{Total fish}}$

$\text{P(Male green swordtail)}=\dfrac{36}{140}$

$\text{P(Male green swordtail)}=\dfrac{9}{35}$

Therefore, probability that the selected fish is a male green swordtail is $\dfrac{9}{35}.$

D.

We have to find the probability that the selected fish is either a male or a green swordtail.

$\text{P(Male or green swordtail)}=\dfrac{\text{Total male or green swordtail fish}}{\text{Total fish}}$

$\text{P(Male or green swordtail)}=\dfrac{44+36+24}{140}$

$\text{P(Male or green swordtail)}=\dfrac{96}{140}$

$\text{P(Male or green swordtail)}=\dfrac{24}{35}$

Therefore, the probability the selected fish is either a male or a green swordtail is $\dfrac{24}{35}.$

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2 years ago

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inessss [21]

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From here on things become simple: hence, the cyclical figures in these equations written down becomes 1,2,3,4,_,3.

Let's now try solving the above sequence, going by the logical reasoning the only number that can fill in the gap should be 4.

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2 years ago

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AfilCa [17]

Answer:

Hope this helps

Step-by-step explanation:

If 6 planters= $18 then 16 planters= 16x 18 divided by 6 =$48

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2 years ago

The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)

Katen [24]

Answer:

24 / x = 14 - 2x

Step-by-step explanation:

Quotient means division (÷ or /)

Quotient of 24 and x = 24 ÷ x

24 ÷ x is equivalent to 24 / x

14 minus 2 times x = 14 - 2x

So, the equation is

24 / x = 14 - 2x

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2 years ago