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4 years ago

If car can travel 50 miles in 55 minutes, how long will it take to travel 75 miles ?

Mathematics

1 answer:

mrs_skeptik [129]4 years ago

7 0

First of all, if you are traveling more, then you will have to take more time to get there. So since the answer A is less than the original number 50 you can rule that choice out. Now to solve, you will put 50 over 55 such as this 50/55. This represents miles/minutes. So next you will put 75/x since we are trying to solve for x (minutes). Now our problem looks like this 50/55 times 75/x. To solve the answer you will need to cross multiply. You will multiply 75 and 55 together to get 4,125. (This will be your numerator, or top number) Next you will multiply 50 and x, this gives you 50. (This will be your denominator, or bottom number. Now you have 4,125/50. Divide your two numbers and you get 82.5! The answer is D. 82.5! Hope I helped!

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Maria makes beaded necklaces. She charges a rate of $0.75 per inch in length plus $0.25 per bead as shown in the expression, whe

sergiy2304 [10]

16x+60y
16(.75)+60(.25)
12+15=27
maria would charge $27 for this necklace

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3 years ago

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At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = $\frac{dx}{dt}$

ship B is sailing north at 20 km/h = $\frac{dy}{dt}$

here x and y are the sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find $\frac{dz}{dt}$ at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

$z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we | | get \\$

$z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h$

derivative first equation w . r. to t we get

$2z\frac{dz}{dt} =$ $-2(130-x)\frac{dx}{dt}$ $+2y\frac{dy}{dt}$

$\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]$

$\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }$

$= \frac{1100}{85.44}\\ = 12.87km/h$

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3 years ago

Patti has two glue sticks that are partially used . One has 1/5 left and one has 3/10 left. Which glue stick has more glue

leonid [27]

Answer:

The second glue stick

Step-by-step explanation:

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3 years ago

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Compute the present value of $9,000 paid in four years using the following discount rates: 4 percent in year 1, 5 percent in yea

juin [17]

The sum would amount to $10,527.75 after the end of 4 years.

Step-by-step explanation:

The Problem pertains to compounding interest with varying rates over the years. Our approach to solve the problem would be in a chronological fashion starting with the 1st year

Principal- $ 9000

Rate interest= 4%

Time period would be 1 year since the interest are considered for successive years.

We know the formulae- Amount= Principal (1+rate/100) ⁿ

Where “n”= time period= 1 in all cases

⇒Amount after 1st year at 4% rate= 9000(1+4/100)

9000*104/100= $ 9360

This amount would serve as Principal for 2nd year

⇒Hence, Amount for 2nd year at 5% rate= 9360(1+5/100)

9000*105/100= $ 9828

⇒Similarly, Amount for 3rd year at 4% rate= 9828(1+4/100)

=9828*104/100= $ 10,221.12

⇒Amount for the last year at 3% rate= 10,221.12(1+3/100)

=10,221.12*103/100= $ 10527.75

Hence the present value of the amount is $ 10527.75 after the end of 4 years.

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3 years ago

Plz help me.

Andre45 [30]

Answer: 60 degrees

Explanation: the angles of a triangle sum to 180 degrees, and all the angles in an equilateral triangle are the same so every angle in an equilateral triangle must equal 60 degrees.

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3 years ago

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