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Leni [432]
3 years ago
9

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o

nly 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

w = 40 miles per hour

r = 300 miles per hour

Step-by-step explanation:

We add w with the wind and subtract w against the wind

r+w = 340 miles per hour

r - w = 260 miles per hour

Add the two equations together to eliminate w

r+w = 340 miles per hour

r - w = 260 miles per hour

----------------------------------------

2r = 600

Divide by 2

r = 300 miles per hour without the wind

Now find w

r+w = 340

300 + w = 340

Subtract 300

w = 340-300

w = 40 miles per hour

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A car is speeding at 9595 miles per hour. How many meters per minute is the vehicle travelling?
sergejj [24]
This is the concept of rates, we are required to convert on rate to another. The We have been given a car that is speeding at 9595 mph, we are required to convert this to meters per minute;
Here we proceed as follows;
1 mile= 1609.34 miles/hour
1 hour= 60 min 
thus to convert from miles per hour to meters per minute we shall have:
speed=distance/time
our distance will be:
distance=9595*1609.34=15,441,617.3 meters
time=(60*1)=60 minutes
thus;
speed=15,441,617.3/60
speed=257,360.2882 meters per minuts
4 0
3 years ago
Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r
likoan [24]

The value of q(x) is 2 x+5

The value of r(x) is 6

Explanation:

The given expression is \frac{2 x^{2}+13 x+26}{x+4}

We need to rewrite the expression in the form of q(x)+\frac{r(x)}{b(x)}

Simplifying the expression, we get,

\frac{2 x^{2}+8 x+5x+26}{x+4}

Separating the fractions, we have,

\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}

2 x+\frac{5 x+26}{x+4}  -----------(1)

Now, we shall further simplify the term \frac{5 x+26}{x+4} , we get,

\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}

Common out 5 from the numerator, we have,

\frac{5 x+26}{x+4}=5+\frac{6}{x+4}

Substituting the value \frac{5 x+26}{x+4}=5+\frac{6}{x+4} in the equation(1), we get,

2 x+5+\frac{6}{x+1}

Thus, the expression \frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1} is in the form of q(x)+\frac{r(x)}{b(x)}

Hence, we have,

q(x)=2 x+5

r(x)=6 and

b(x)=x+4

5 0
3 years ago
Thirty seven divided by nine
Sunny_sXe [5.5K]

Answer:

4.11 (rounded to the hundredth place, the actual answer is 4.1(with the one repeating))

Step-by-step explanation:

To solve 37 divided by 9 you have to do long division or you can use a handheld calculator.

To solve it through long division,

9 can go into 3 zero times

9 can go into 37 four times though

9*4 is 36

So subtract 36 from 37, leaving 1.

9 can go into 1 zero times.

Add a zero behind the one and 9 can go into 10 once.

The pattern continues forever, making the answer 4.1(with the one repeating)

or 4.11 (rounded to the hundredth place)

If you need anymore clarification I can certaintly help.

7 0
3 years ago
Find the measure of <7
Montano1993 [528]
Hey there! :D

Vertical angles are congruent, they have the same measure. 

So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally. 

<5= 45, so <7= 45. 

I hope this helps!
~kaikers


8 0
3 years ago
A circular mirror measures 24 cm in diameter.
Basile [38]

Answer:

The perimeter or circumference of a half mirror = 37.68 cm

Step-by-step explanation:

  • The diameter of circular measure = 24 cm

We know that the perimeter of a circular shape is called the 'circumference', with the formula

  • Circumference of a circle = C = 2πr

When the mirror is cut into half, the diameter gets half as well.

  • Thus, the diameter of a half mirror = 24/2 = 12 cm

We know that radius = r = diameter / 2 = 12/2 = 6 cm

Thus, the perimeter of half of the mirror  = C = 2πr

                                                                           = 2(3.14)6

                                                                            = 37.68 cm

Therefore, the perimeter or circumference of a half mirror = 37.68 cm

4 0
3 years ago
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