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3 years ago

Is the difference of two positive rational number always positive? Explain

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

No, if you are subtracting a bigger than the one it is being taken from then the answer will be negative. Ex:5-10=-5

Hope this helps:)

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Solve for x. 3x - 1 = 27 x = 10 x = 28/3 x = 26/3

frutty [35]

Answer:

x = 28/3

Step-by-step explanation:

3x - 1 = 27

Add 1 to each side

3x - 1+1 = 27+1

3x = 28

Divide by 3

3x/3 = 28/3

x = 28/3

6 0

2 years ago

At 8:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 80870 ft and is decreasing at the rate of 4

wel

Let's begin by listing out the information given to us:

8 am

airplane #1: x = 80870 ft, v = -450 ft/ min

airplane #2: x = 5000 ft, v = 900ft/min

We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:

$\begin{gathered} E=x_1+vt----1 \\ E=x_2+vt----2 \\ where\colon E=elevation,ft;x=InitialElevation,ft; \\ v=velocity,ft\text{/}min;t=time,min \\ x_1=80,870ft,v=-450ft\text{/}min \\ E=80870-450t----1 \\ x_2=5,000ft,v=900ft\text{/}min \\ E=5000+900t----2 \end{gathered}$

We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:

$\begin{gathered} 5000+900t=80870-450t \\ \text{Add 450t to both sides, we have:} \\ 900t+450t+5000=80870-450t+450t \\ 1350t+5000=80870 \\ \text{Subtract 5000 from both sides, we have:} \\ 1350t+5000-5000=80870-5000 \\ 1350t=75870 \\ \text{Divide both sides by 1350, we have:} \\ \frac{1350t}{1350}=\frac{75870}{1350} \\ t=56.2min \\ \\ \text{After }56.2\text{ minutes, both airplanes will be at the same elevation} \end{gathered}$

The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have:

$\begin{gathered} E_1=80870-450t \\ E_1=80870-450(56.2) \\ E_1=80870-25290 \\ E_1=55580ft \\ \\ E_2=5000+900t \\ E_2=5000+900(56.2) \\ E_2=5000+50580 \\ E_2=55580ft \\ \\ \therefore E_1\equiv E_2=55580ft \end{gathered}$

6 0

10 months ago

The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 18

Alekssandra [29.7K]

Answer:193

Step-by-step explanation:193

7 0

3 years ago

Hamza bought 8 gallons of brown paint to paint his kitchen and dining room. Unfortunately, when

dalvyx [7]

Answer:

4 gallons of white paint

Step-by-step explanation:

Let

x -----> quantity of gallons of white paint that Hamza has to buy

we know that

A gallon of white paint must mixed with 2 gallons of brown paint

using proportion

$\frac{1}{2}\frac{gallon\ white}{gallons\ brown} =\frac{x}{8}\frac{gallons\ white}{gallons\ brown}\\\\x=8/2\\x=4\ gallons\ white$

3 0

3 years ago

A farmer builds a fence to enclose a rectangular pasture. he uses 155 feet of fence. find the total area of the pasture if it is

SOVA2 [1]

I think your answer is A)

7 0

3 years ago