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gtnhenbr [62]
2 years ago
14

A cruise ship traveled 432 miles in 24 hours. What was its average rate of speed?

Mathematics
2 answers:
Arturiano [62]2 years ago
4 0

Answer:

18 miles an hour

Step-by-step explanation:

Divide 432 by 24 to get 18.

Paul [167]2 years ago
4 0

Step-by-step explanation:

for this

432÷24=18

so the cruise ship travels 18 miles in an hour

:)

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What is the solution to this equation? 3(4x + 3) = 2x - 5(3 - x) + 2 A. B. C. D.
RideAnS [48]

Answer:

Exact form - x= - 22/5

Decimal form - x=-4.4

Mixed Number form - x= -4 2/5

Step-by-step explanation: Isolate the variable by dividing each side by your factors that don't contain variables.

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Which ordered pairs are solutions to the inequality −2x+y≥−4 ?
GalinKa [24]
The answer would be A
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Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

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Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

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Zinaida [17]

The best buy is from dealership B because dealership B has a lesser base price

<h3>The add-on options</h3>

For the purpose of this exercise, the add-on options to select are:

  • Sunroof
  • Keyless entry

<h3>Dealership A</h3>

The total amount of the add-on options is:

Total = $500 + $1500

Total = $2000

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 17248.44

Divide both sides by (1 + 6.75%)

x  ≤ 16157.79

The solution means that the base price of the car cannot exceed $16157.78 for dealership A

<u>The graph of the possible base price</u>

See attachment

<h3>Dealership B</h3>

The total amount of the add-on options is:

Total = $750 + $1000

Total = $1750

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 16725.28

Divide both sides by (1 + 6.75%)

x  ≤ 15667.71

The solution means that the base price of the car cannot exceed $15667.71 for dealership B

<u>The graph of the possible base price</u>

See attachment

<h3>Where to buy from</h3>

Buy from dealership B because dealership B has a lesser base price

Read more about inequality at:

brainly.com/question/25275758

#SPJ1

3 0
1 year ago
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