With the wind, a plan flies 240 miles in 2 hours. Against the wind, the requires 3 hours to fly in the same distance. What is the rate of the wind?

Answer:

dddddweqwqq

Step-by-step explanation:

Answer:

$52

Step-by-step explanation:

Answer:

156 / 3 = 52

Step-by-step explanation:

If there is a $156 bonus and each worker gets the same amount you divide 156 by 3 which equals out to 52. So 52 dollars is your answer.

Answer:

24%

Step-by-step explanation:

If we want to find what percent, we simply set up an equation that you would generally use when trying to find "P" percent of a number, except we use an unknown "P" as a placeholder, and from there we can solve for that value using some algebraic manipulation.

\(520*\frac{P}{100} = 125\)

We can divide both sides by 520 to cancel it out on the left side.

\(\frac{P}{100}\approx 0.2403\)

and now from here we can multiply both sides by 100 to cancel out the division of 100 on the left side.

\(P\approx24.03\)

rounding to the nearest tenth, we look to the hundredth which is less than 5 so we round down to 24.00.

\(P\approx 24\)

So Winona only paid approximately 24% of the original price.

Answer:

The answer is A

Step-by-step explanation:

Answer:

8π/45 rad or 0.558505

Step-by-step explanation:

to convert into radian measure, multiply by π/180° rad

32°x π/180° rad

reduce the expression with 4° = 8 x π/45 rad

calculate the product = 8π/45 rad

you get

8π/45 rad

alternate form:

0.558505

Answer:

Winning odd = 3.4

Loosing odd = 4.3.

Step-by-step explanation:

So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;

=> Given 6 of hearts and the 8 of diamonds.

We know that there are 8 types of cards.

Also, we know that the total number of the cards is equal to fifty-two(52).

From cards of six(6) to ten(10) a bust will surely occur.

Therefore, 8 × 4 / 52= 32/52 = 0.62.

If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.

Giving you a Winning odd = 3.4 and a

Loosing odd = 4.3.

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Using linear functions, it is found that 5 toppings would make the cost the same for all pizza.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the cost functions are given as follows:

The costs will be the same when:

A(x) = B(x)

10 + 1.5x = 12.5 + x

0.5x = 2.5

x = 2.5/0.5

x = 5.

5 toppings would make the cost the same for all pizza.

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AnswER

-14

Step-by-step explanation:

i think

Answer:

Step-by-step explanation:

To solve the equation 3(x + 4) + 2 = 2 + 5(x - 4), we need to isolate the variable x on one side of the equation. Here's how we can do it:

Expand the left side of the equation:

3(x + 4) + 2 = 2 + 5(x - 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Subtract 3x from both sides:

3x + 14 = 5x - 18

0 = 2x - 4

Add 4 to both sides:

0 + 4 = 2x - 4 + 4

4 = 2x

Finally, divide both sides by 2:

4 / 2 = 2x / 2

2 = x

So the solution to the equation is x = 2.

Answer:

Step-by-step explanation:

your answer was right XD its 1/7 3/7 4/7 6/7

To graph this function, we follow the following steps:

Express the function in the Slope-Intercept form, y = ax + b. We make y the subject of the function

a. y = 2x + 3

when x = - 2

y = 2(-2) + 3 = - 4 + 3 = - 1

(x, y) = (-2, -1)

when x = 0

y = 2(0) + 3 = 0 + 3 = 3

(x, y) = (0, 3)

when x = 3

y = 2(3) + 3 = 6 + 3 = 9

(x, y) = (3, 9)

Slope = Δy / Δx = (9 - 3)/(3 - 0)

m = 6/3 = 2

The next step is to plot this values on a graph

b. -x + 4y = 12

Add x to both sides, we have:

4y = x + 12

Divide each element by 4, we have:

y = ¼x + 3

when x = -4

y = ¼(-4) + 3 = -1 + 3 = 2

(x, y) = (-4, 2)

when x = 0

y = ¼(0) + 3 = 0 + 3 = 3

(x, y) = (0, 3)

when x = 8

y = ¼(8) + 3 = 2 + 3 = 5

(x, y) = (8, 5)

Slope = Δy / Δx = (5 - 3)/(8 - 0)

m = 2/8 = 1/4

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Answer:

x=8

Step-by-step explanation

x/4-3/2=1/2

      x/4=1/2+3/2

      x/4=4/2

      x/4=2

         x=2*4

         x=8

Answer:

x=8

Step-by-step explanation:

Solve for x by simplifying both side of the equation,then isolate the variable

Answer:

Top prism = 262 in.² Bottom prism = 478 in.²

Step-by-step explanation:

top prism:

front + back: 5 x 3 = 15

sides: 19 x 4 x 2 = 152

bottom: 19 x 5 = 95

15 + 152 + 95 = 262

bottom prism:

front + back: 5 x 6 x 2 = 60

sides: 19 x 6 x 2 = 228

top + bottom: 19 x 5 x 2 = 190

60 + 228 + 190 = 478

Answer:

Top prism = 262 in.² Bottom prism = 478 in.²

Step-by-step explanation:

top prism:

front + back: 5 x 3 = 15

sides: 19 x 4 x 2 = 152

bottom: 19 x 5 = 95

15 + 152 + 95 = 262

bottom prism:

front + back: 5 x 6 x 2 = 60

sides: 19 x 6 x 2 = 228

top + bottom: 19 x 5 x 2 = 190

60 + 228 + 190 = 478

Answer:  approximately 3.57 seconds

========================================================

Work Shown:

x = number of seconds

distance = speed*time

250 meters = (70 m/s)*(x seconds)

250 = 70x

70x = 250

x = 250/70

x = 3.57142857142858

x = 3.57

It takes approximately 3.57 seconds for the car to travel 250 meters, when it travels a constant speed of 70 meters per second.

48 minutes is equivalent to 1/5 of 4 hours.

We have,

To express 48 minutes as a fraction of 4 hours, we need to convert both the minutes and hours into a common unit of time.

Since there are 60 minutes in an hour, we can convert 4 hours to minutes:

4 hours = 4 x 60 minutes = 240 minutes

Now, we can express 48 minutes as a fraction of 240 minutes:

48 minutes / 240 minutes

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 48:

= 48 minutes / 240 minutes

= 1/5

Therefore,

48 minutes is equivalent to 1/5 of 4 hours.

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Answer:

84 yards squared

Step-by-step explanation:

Use the formula- A= 1/2(b1 +b2)h

So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)

The linear function is represented by the straight line, and the word that describes the slope of the line is positive

A linear function is an equation that has a constant rate or slope

The points on the lines are given as:

(x,y) = (-5,-1), (0,0) and (5,1)

The slope is then calculated using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

This gives

m = (0 + 1)/(0 + 5)

Evaluate

m = 0.2

The above slope is positive.

Hence, the word that describes the slope of the line is positive

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Answer:

the answer is a

Step-by-step explanation:

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer: Resolution

Step-by-step explanation:

The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.

Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.

We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.

Answer:

-5y

Step-by-step explanation:

Since there is a common term (z) both in the numerator and in the denominator, i cancelled it from them.

Then, I divided the numerator by - 2 because it is a factor both of the numerator and denominator.

1. Hypothesis: If you were to walk to the movie theater depending on its distance from where you are traveling or walking from could or would be longer then it would if you biked or drove (using a car) there.

2. If today is not Thrusday, then tommmorw is not Friday.

3. Both are true

Answer:

The hypothesis of a conditional statement is the phrase immediately following the word if. The conclusion of a conditional statement is the phrase immediately following the word then. Hypothesis: Two angles are adjacent

Step-by-step explanation:

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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