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2 years ago

The quotient of 9 and five times a nonzero number (mathematical expression)

Mathematics

1 answer:

Burka [1]2 years ago

6 0

Answer:

9/5x

Step-by-step explanation:

Let a variable stand for the nonzero number. It has to not be zero because it's on the bottom of a fraction or it is the "divided by" guy in a division. It is division because quotient means you are dividing.

So 9 is on top (or in front)

5x is on the bottom (or the second term)

9/5x

also 9÷5x but I think the / notation is preferred in middle school, high school and college for algebra.

Also the variable can be almost any letter, like 9/5n or 9/5s is just as good.

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An airplane flying with the wind takes 2 hours to travel a distance

Sever21 [200]

9514 1404 393

Answer:

airplane: 225 mph
wind: 45 mph

Step-by-step explanation:

The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.

The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.

Let a and w represent the speeds of the airplane and wind, respectively.

a + w = 270 . . . . speed with the wind

a - w = 180 . . . . speed against the wind

2a = 450 . . . . . . sum of the two equations

a = 225 . . . . . . divide by 2

w = a -180 = 45

The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.

7 0

3 years ago

Do y'all know vectors-? AHH

Sophie [7]

Answer:

yea kind of but not in detail

3 0

2 years ago

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14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?

umka2103 [35]

Answer:

Step-by-step explanation:

We can assume the longer side is the hypotenuse because it is significantly longer than the other side.

From there, we can do Pythagoreans Theorem.

a^2+b^2=c^2

where can is the hypotenuse.

(12.75)^2+ b^2 = (37.25)^3

162.5625 + b^2 = 1,387.5625

-162.5625 -162.5625

b^2= 1,225

square root both sides.

b= 35

4 0

3 years ago

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s

wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0

3 years ago

The graph shows the relationship between the volume of coffee in a cup and the length of time Cassie pours

almond37 [142]

The answer is 3 50 means 3 in this situation

4 0

3 years ago

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