Two planes at started to take off at the same time. Plane One took off from the tarmac going 375 mph at an angle of elevation of 40° and Plane Two took off from the tarmac going 400 mph at an angle of elevation of 35°. Which plane is rising faster? What would you change to make sure both planes rise at the same rate?

We have the next equation

42=6a

we need to clear a

a=42/6

a=7

the answer is 7

Answer:

the hat cost 18

Step-by-step explanation:

if the shirt is 24 half the price of the shirt is 12 so 21-12= 9 which is the price of the hat discounted.

The original price of the hat is 18 because 9 x 2 = 18

Answer:

9

Step-by-step explanation:

√(6 - -3)2 + (-8 - -8)2

= √(9)2 + (0)2

= √81

= 9

Hope this helps you out :)

Hello there. To solve this question, we'll find how many times George's grandpa is older than his grandson.

First, this is also called the ratio of the ages between George and his grandpa.

To find this, we divide their ages in the order Grandpa : Grandson as following:

Simplify the fraction by a factor of 8

This is how many times George's grandpa is older than him.

Let 'x' be the number of pounds of Yurly's package and let 'y' be the number of pounds of Anduray's package. Since the combined weight of both packages is 9 pounds, then:

now, we have that Yurly's package weights three pounds more than two times the weight of Anduray's, we can write this as:

thus, we have the following system of equations to represent this situation:

Answer:

Step-by-step explanation:

1. 4x+6<-6

2. 4x<-6-6

3. 4x<-12

4. x<-12/4

5. x<-3

6. The answer is x < -3.

in this problem we have that

y+20=x+15 -------> by vertical angles

isolate variable y

y=x+15-20

y=x-5 ------> equation A

and

(3x+5)+(x+15)=180 ------> by form a linear pair (sipplementary angles)

solve for x

4x+20=180

4x=160

x=40

substitute the value of x in equation A

y=40-5

y=35

therefore

x=40 and y=35

To answer this question, we need to find the unit rate for the steady speed. Then, we can proceed as follows:

Then, we have that the unit rate, in this case, is 2/3 miles per minute.

Hence, the car will travel in 34 minutes:

Thus, the car will travel 222/3 miles in 34 minutes.

The car will travel in one hour or 60 minutes:

Then, the car will travel 40 miles in one hour or 60 minutes.

The relation is a function because (a) Yes, because every x-value corresponds with a single y-value.

From the question, we have the graph to represent the given parameters that can be used in our computation

We are to find out if the graph represents a function

For a graph to represent a function, the graph must pass the vertical line test

This means that a line drawn from the x-axis must touch the points at most once

In this case, the graph would pass the vertical line test because no two points have the same y coordinate

Hence, it is a function

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The value of corresponding angle x is 157°.

Properties of Parallel Lines:

The pairs of corresponding angles are equal.

The pairs of vertically opposite angles are equal.

The pairs of alternate interior angles are equal.

The pairs of alternate exterior angles are equal.

Given: m║n

So, using the property of parallel lines we have the angles on the same side of transversal are supplementary. Let 23° is tranversal to α, then

               23° +α = 180°

           ⇒α = 180°-23°

           ⇒α = 157°.

Now, using the property of vertically opposite angles we have

α = x = 157°

⇒ x = 157°

Therefore, the value of x is 157°.

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The transformed equation of the parent function f(x) = x² will be g(x) = x²-27.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the transformed equation of the parent function f(x)=x² where g(x) has been translated 3 units right and reflected across the x-axis.

The function g(x) when the g(x) has been translated 3 units right is,

g(x) = x²-27

Thus, the transformed equation of the parent function f(x) = x² will be g(x) = x²-27.

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The number of Screamers when Runners are 6 is 4,

and the number of Runners when Screamers are 10 is 15.

It is basically the measurement of two numbers and it compares by how much one quantity is bigger than another.

When two ratios are equal, they are usually said to be in proportion.

As given in the above questions,

Screamers:Runners= 2:3

So, let the number of screamers in first case is x

Then, x:6 = 2:3

         x= 4

Hence , the number of screamers is 4.

In second case, let the number of runners is y

Then, 10:y = 2:3

          y= 15

Hence , the number of runners is 15.

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Congruency is a term used to describe two objects with the same shape and size.

In this case, two triangles are congruent if they have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position.

For instance,

these triangles are congruent. They have the same sides but in different position.

Another example is

In this case the congruency is about angles. These 2 triangles have the same angles and the same sides but in different positions.

Another instance is

They are the same triangles but in different positions.

From the first question we can see that both triangles are congruent.

This imply that they are the same but in different position:

We can note that angle C is equal to angle T, therefore

In the same way, angle U is equal to angle B, then we have

We can find angle A by noticing that the interior angles of a triangle add up 180, that is

Since angle V is equal to angle A, also V=66

The answer to the inequality is P> 5

What is Inequality?

Inequality in mathematics, the relationship between two values that are not equal

To solve the inequality we follow the steps;

P+5 > 10

Subtract 5 from both sides

P + 5-5 > 10-5

P>5

Therefore, the answer to the inequality is P> 5

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Answer:

b

Step-by-step explanation:

just took the test yyyyyyyyyyyyyyyyyyyyyyyyy

6 is the value of x in the number set makes 6(2x+12)=144

Two or more expressions with an Equal sign is called as Equation.

Given,

The number set has numbers

Five comma, six comma, seven comma eight

5,6,7,8

We need to find which value of x in the number set makes 6(2x+12)=144

Now x=5

6(2x+12)=6(2(5)+12)

=6(10+12)

=6(22)

=132

So 5 is not value of x for 6(2x+12)=144

Now x=6

6(2x+12)=6(2(6)+12)

=6(12+12)

=6(24)

=144

5 is value of x for 6(2x+12)=144

Hence 6 is the value of x in the number set makes 6(2x+12)=144

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Answer:

y=-11

Step-by-step explanation:

Step 1: Subtract 12 from both sides.

2y+12−12=−10−12

2y=−22

Step 2: Divide both sides by 2.

2y/2=-22/2

And would get you y=-11

1.

What do you know?

the troposphere extends 8 to 20 km above the Earth's surface. The surface temperature is 15°C and decreases at a rate of 6.5°C per kilometer away.

What do you want to find out?

The temperature at any point of the troposphere

What kind of answer do you expect?

Any value below 15°C

2. Define variables,

T is for temperature, and

d is the distance away from the surface

3. What is the b -value

b = 15

which is the Earth's surface temperature or the initial temperature for our problem

4. What is the slope

the slope 'm' equals -6.5

which means that the temperature decreases 6.5°C per km

5. write the equation

the general form for this equations is y = b + mx

thus, for our problem, the equation is: T = 15 - 6.5*d

6.

a) the slope represents the rate of change of temperature with respect to distance, since m = -6.5 °C/km , this means the troposphere is getting 6.5 °C colder per km away from Earth's surface

b) the y-intercept represents the Earth's surface temperature

Graph:

7. identify 3 points

when d = 0 then T = 15, so our first point is (0,15)

when d = 1 then T = 15 - 6.5 = 8.5 , so our second point is (1,8.5)

when d = 2 then T = 15 - 13 = 2 so our third point is (2,2)

8. calculate the slope

let's use this equation and this set of points,

let's replace and solve

We can see that it does match the slope from our model, which is -6.5

9. graph the line and the points,

10. Complete the sentence

... ends between 8 km and 20 km above Earth.

11. temperature at the farthest point

when d = 20 then,

... the temperature is -115°C

12. Temperature range,

from... 15 °C to -115 °C

Answer:

Rides cost $4

Games cost $2.50

Step-by-step explanation:

Let g = cost of games

Let r = cost of rides

6g + 3r = 27

2g + 9r = 41  Multiple this through by -3 and then add to the equation above.

-3(2g + 9r) = (41) -3

-6g - 27r = - 123

6g + 3r = 27

       -24r = -96  Divide both sides by -24

r = 4  This is the cost of the rides.

Plug is 4 for r in either of the two original equations to solve for g

6g + 3r = 27

6g + 3(4) = 27

6g + 12 = 27  Subtract 12 from both sides

6g = 15  Divide both sides by 6

g = 2.5  This is the cost of the games.

To get the value of N let's do the division.

The value of N is 450

Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was  6 points.

In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.

Amelia score the point :

2*5=10

Amelia received a point total of 10 points.

Jorden score the point :

10-4 =6 points

The point Jordan scored was  6 points.

Bryce score the points

3*6 = 18 points

Where

Bryce made the basket equals 18 points.

so,Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was  6 points.

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We need to complete the perfect square in x and y, that is,

and

Then, our given equation can be rewritten as:

which is equal to

By moving -5 to the right hand side, we have

Since the general circle equation is

then, the answer is:

then, the center is (h,k)= (1, -2) and the radius is r=2

Given the length and the expression that represents the width of a rectangle, you need to remember that:

• The area of a rectangle can be calculated by multiplying its dimensions:

Where "l" is the length and "w" is the width.

• The perimeter of a rectangle is:

Where "l" is the length and "w" is the width.

Then, knowing that:

- You can set up that the area of this rectangle is:

Simplifying, you get:

- And the perimeter is:

Hence, the answer is:

- The area is:

- The perimeter is:

Using conditional probability, it is found that there is a 0.83 = 83% almost 0.8403  probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

Probability: -

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

Conditional Probability :

Using conditional probability, it is found that there is a 0.83 = 83% = P( A∩ B) / P(A)

In which

In this problem:

Event A: Commute to school each day.

Event B: Spends more than $25 a week.

80% indicated that they commute to school each day. of those that commute to school each day, hence , P(A) = 0.8

Of those, 83% spend more than $25 a week on gasoline, hence .

                     P(B|A) = 0.83

Thus, 0.83 = 83% probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

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The solution is the area between the three lines, a triangle with vertices marked (see attached).

The fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Since,

1 hour = 60 minutes.

2 hours = 120 minutes.

2 hours 15 minutes = 120 + 15 = 135 minutes.

1/4 of an hour = 60/4 = 15 minutes.

So, the fraction is,

[tex]\frac{15}{135} = \frac{1}{9}[/tex]

Therefore, the fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.

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Answer:

x = 2z

x = -3y

Explanation:

Given the below quadratic equation;

Let's go ahead and factor the above completely as seen below;

We'll now apply the Zero-product property which states that if the product of two numbers is equal to zero, it means that at least one of the numbers is equal to zero.

Applying the Zero-product rule, we'll have;

Find x

-5x+2=52​

_______________

-5x + 2 = 52​

subtracting 2

-5x + 2 -2 = 52​ -2

-5x + 0 = 50

-5x = 50

Dividing by -5

-5/ -5 x = 50/ -5

1x= -10

x= -10

__________________

Answer

x= -10

S={5}

1) Evaluating x in this question

4x=20 Divide both sides by 4

4/4x=20/4

x=5

So x is equal to 5, in this equation 4x=20

S={5}