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MAXImum [283]
2 years ago
8

Simplify the following expression.​

Mathematics
1 answer:
aliina [53]2 years ago
6 0
The answer to the question

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An airplane travels 5040 kilometers against the wind in 9 hours and 6660 kilometers with the wind in the same amount of time. Wh
dmitriy555 [2]

Answer:

Wyzant

Question

Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 1 vote

Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour

More

Socratic

Question

Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 0 votes

The speed of plane in still air is 1030 km/hr and wind

Step-by-step explanation:

6 0
2 years ago
What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 7)(11b2 − 7)
Inessa05 [86]

The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).

The equation 121b⁴ − 49

To find the Factorization of 121b⁴ − 49.

<h3>What is the factor of a^2-b^2?</h3>

The factor of a^2-b^2 is  (a+b)(a-b)

We have write the given equation in the form of a^2-b^2

= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)

Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).

To learn more about the factor visit:

brainly.com/question/25829061

5 0
2 years ago
Graph the solution to the following system of inequalities in the coordinate plane.
Goshia [24]

Answer:

see below

Step-by-step explanation:

The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.

The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.

4 0
3 years ago
A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1
Gnesinka [82]

Answer:

1.315%

Step-by-step explanation:

Given:

Prices:

Year 1 =old price =$95

Year 2 = new price = $96.25

The inflation rate is the difference in price between two Given period :

Inflation rate :

(Change in price / old price) * 100%

((New price - old price) / old price) * 100%

((96.25 - 95) / 96) * 100%

= (1.25 / 95) * 100%

= 0.0131578 * 100%

= 1.315%

3 0
2 years ago
if you are 15 years old now, which equation could be used to solve for your age, y, 12 years from now ?
Vaselesa [24]

Answer:

Hi there!

If you are 15 right now, you would use the expression: 15+12=y

3 0
3 years ago
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