74 3/5 + 19 2/3 = Please Explain

Answers

Answer 1
Answer: Ok 74(3)/(5)
So 19(2)/(3)


= 373/5 + 59/3

= ((373 × 3) + (59 × 5)) / (5 × 3) 

= (1119 + 295) / 15

= 1414/15

= 1414/15

= 94 4/15
Answer 2
Answer: 74 3/5 + 19 2/3
74+19= 93
for 3/5+2/3 we need a common denominator which in this case would be 15 (the product of the two already existing denominators)
3x3=9 (the 3s are first numerator and the second denominator) so the first fraction is 9/15
5x2=10 (the first denominator and the second numerator) so the second fraction would be 10/15
9+10=19 (the numerators in both fractions) so it's 19/15 which we convert to a mixed numeral which is 1 4/15
93+1 4/15=94 4/15

hope this helps :)

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An airplane leaves an airport and flies due west 170 miles and then 240 miles in the direction S 69.50°W. How far is the plane from the airport (round to the nearest mile)?.

Answers

We will use the Cosine Law:
c² = a² + b² - 2 a b cos C
∠ C = 90° + 69.50° = 159.50°
c² = 170² + 240² - 2 · 170 · 240 · cos ( 159.50° )
c² = 28,900 + 57,600 - 81,600 · ( -0.9366722 )
c² = 28,900 + 57,600 + 76,432.45
c = √ 162,932.45
c = 403.64  ≈ 404 miles
Answer:
The plane is 404 miles away from the airport. 

Answer:

C=403.6489

Step-by-step explanation:

A= 170, B= 240 angle C= 69.5+90=159.5

C= the distance from the plane to the airport.

Solve for x.
6x - 2 = 5x - 7 - 3x

Answers

6x-2=5x-7-3x
-3x
6x-2=2x-7
+2 +2
6x= 2x-5
-2x -2x
4x = -5
/4 /4
X=-5/4
6x - 2 = 5x - 7 - 3x
6x - 2 = 2x - 7
6x - 2x = -7 + 2
4x = -5
x = - (5)/(4) or x = -1 (1)/(4)

A trundle wheel is used by surveyors to measure distances. It consits of a circular disc attached to a handle. One revolution of the wheel measures out exactly one metre. Find the diameter of the wheel.

Answers

I don't know the units so I'm guessing its centimeters, you can convert it when I'm done.
31.847133758 is the exact answer in centimeters, you can use that to convert the units to millimeters and such.

The acceleration (m/sec2) of an object along a straight une is given in the following graph:Assuming that the object has an initial velocity of 5 m/sec, how far does the particle move during the time 0<=t<=3?
27.0 meters
28.5 meterso
33.0 meters
53.5meters

Answers

I not sure of the answer

What do 20-(12+6) equal

Answers

Answer:

2

Step-by-step explanation:

Since the 12 + 6 are parenthesis, we do these first

12 + 6 = 18

Then will solve the rest, 20 - 18

20 - 18 = 2, therefore leaving us with the answer of 2

a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489

Answers

2.394 inches per minute x 7.489 minutes = 17.928666 inches.

So, about 18 inches.
(2.394in)/(1min) *  (7.489min)/(1) = 17.928666in

Or 17.93in with significant digits.


To break it down, you can set up your information as a fraction (which I did for the first fraction.) Then you want your units to cancel out, so I put the 7.489 minutes on the top of the next fraction and multiplied them. The min canceled out and left me with in, so I know I had the correct answer.