The table shows information recorded about the location and speed of an airplane during an overseas flight.
​a) Determine the altitude in miles.
​b) Determine the ground speed in miles per hour.
​c) Determine the headwind in miles per hour.
​d) Determine the temperature in degrees Fahrenheit using the formula
F=9/5 C+32

The average family income in 2006 is $59865.

Based on the information illustrated, the required model is given as:

y = ax + b

y = average family income

x = years since 1991

The slope based on the information given is b = 39000.

Therefore, the family income in 2006 will be:

= (1391 × 15) + 39000

= 59865

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The measure of this angle is 65°

The measure of this angle is 60°

Explanation:

1) From the diagram the angle is between 10° and 75°

One of the arrows is on 10°

the other arrow is on 75°

the measure of the angle is between the two angles, so we subtract the smaller one from the bigger one

The angle in degrees is the difference between the 75° and 10°

= 75 - 10

= 65°

The measure of this angle is 65°

2) The second diagram is from 0° to 60°

Difference between them = 60° - 0°= 60°

The measure of this angle is 60°

Answer:

Probability (Physics Major or Female) =  28/40 = 0.7

Step-by-step explanation:

The probability of being a female is 17/40

The probability of being a physics major is 18/40

The number of students counted twice is 7/40

Probability (Physics Major or Female) = 17/40 + 18/40 - 7/40

Probability (Physics Major or Female) =  28/40 = 0.7

Given the function

Then, the function is shifted down 3 units means you subtract 3 to f(x).

And the function is shifted to the right 1 unit means you subtract 1 from the argument of f(x), this is "x". Therefore, the new function is:

Answer:

To convert 81 degrees to radian, we will apply the conversion:

1 π rad = 180°

let the 81° in rad = y

1 π rad = 180°

y = 81°

cross multiply:

1π rad (81) = 180 y

To get y, we divide both sides by 180:

Solution

Step 1

Let the number of adult tickets = 3m

The number of child tickets = m

Step 2

Step 3:

Total sales = $706.20

Number of child tickets that were sold that day = 22

The three equations that have the same value of x as 3/5(30 x minus 15) = 72 are:

Equations are mathematical statements that show the equality of mathematical expressions.

These statements claim that two or more expressions are equal or equivalent.

To show this equality, the expressions are joined with the equal sign (=).

3/5(30x - 15) = 72

= 18x - 9 = 72

18x = 81

x = 4.5 (81/18)

Thus, the three correct equations, sharing the same value of x as 3/5(30 x minus 15) = 72 are Options C, D, and E.

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A) 18x - 5 = 72

B) 50x - 25 = 72

C) 18x - 9 = 72

D) x = 4.5

E) 18x = 81

Explanation:

The equation of a line in the slope-intercept form is:

Where m is the slope and b is the y-intercept.

We have that the line has a slope of 1/3:

To find the y-intercept b we have to use the point. Replace x = -2 and y=1 and solve for b:

Answer:

The equation is:

Answer:

i think its

-3.952

The Three Fractions are :-

10/8, 15/12, 20/16

The subtraction expression which the given number line model (see attachment) show is: C. -4 - 9

In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Generally speaking, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

Note: Each interval on this number line represents -1 unit.

Next, we would add the given numbers together as follows:

Number = -4 + (-9)

Number = -4 - 9

Number = -13.

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Complete Question:

Which subtraction expression does the number line model show?

-13 + 4

-4 - 13

-4 -9

-4 + 9

ANSWER

EXPLANATION

We want to write the equation of the line that passes through the point (-3, 7) and is parallel to the y-axis.

The general equation of a line is given as:

where m =slope

c = y intercept

A line parallel to the y-axis is a vertical line. The slope of a vertical line is undefined and so the equation of a vertical line is given as:

where a is the x coordinate of any point that it passes through.

Therefore, since the line passes through (-3, 7), the equation of the line is:

SOLUTION

(a) The first plan cost $55 and an additional $0.13 per mile driven,

while the second plan cost $48 and an additional $0.17 per mile driven

Let the amount of driving be x

Then, this means that for the first plan we have

And the second plan becomes

So, for the plans to cost the same for a particular amount of driving x, it means that

Collecting like terms we have

Hence the two plans cost the same at 175 miles

(b) The cost when the two plans cost the same is

Hence the answer is $77.75

EXPLANATION

Let's see the facts:

-Morgan is making ----------------> 2 cookie recipes.

Recipe A ---> A = 2RecipeB -(1/3) 2RecipeB

-She needs-----------> Recipe A + Recipe B = 4 1/6 cups of sugar

Now, we have a system of equations:

(1) A = 2B -(1/3)2B

(2) A + B = 4 1/6

Multiplying both sides of (1) by 3:

3A = 6B - B

Simplifying:

3A = 5B

Isolating B:

B = 3/5 A

Substituting B-value in (2)

Reordering:

Multiplying both sides by 30:

Dividing both sides by 48:

Representing as mix fraction and rounding:

ANSWER: She will need two and two-thirds cups of Recipe A.

Part a: The total possible flags can be created using 6 colours is 720.

Part b: ⁹P₃ = 60480.

For the given question;

Part a: A designer has total 6  palette of colors.

A flag has to made with 5 vertical stripes, all of different colors.

The, this could be done by using permutation.

= 6!

= 6×5×4×3×2×1

= 720

Thus, the total possible flags can be created is 720.

Part b: The value of the expression P(9,3), equivalently ⁹P₃.

⁹P₃ = 9!/3!

⁹P₃ = (9×8×7×6×5×4×3!)3!

⁹P₃ = 9×8×7×6×5×4

⁹P₃ = 60480.

Thus, the equivalent value of the expression is ⁹P₃ = 60480.

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Okay, here we have this:

Considering the provided information, we are going to calculate the expected value for the game, so we obtain the following:

We will substitute in the following formula:

Expected Value=(Black Gain)*Black Chance (Gold Gain)*Gold Chance+(Silver Gain)*Silver Chance

Expected Value=(-1)*(25/33)+(3)*(1/33)+(2)*(7/33)

Expected Value≈-0.24

Finally we obtain that the expected value is approximately $-0.24.

Answer:

-3 because (-1,-7) and (1,-13) takes -6 to get from -7 to -13 and 2 to get from -1 to 1. -6/2 is -3, so the slope/answer is -3.

Step-by-step explanation:

Answer:

Formula for finding slope is given as y2-y1 ÷ x2-x1 or y1-y2 ÷ x1-x2, where x and y are the coordinates of the points.

Slope = -13-(-7) ÷ 1-(-1)

= (-13+7) ÷ (1+1)

= -6 ÷ 2

= -3

Answer: B) 21/17

Step-by-step explanation:

Answer:

21/38

Step-by-step explanation:

Demonoator= 21+17=38

Numerator= number of cats

Have a great day

Pls mark brainliest

To determine the price for each board game on the stores, we need to divide the total price by the number of board games bought.

The price online is higher, because it is $5.79 per board game.

A rational number between the two given ones is -0.455, such that:

-0.45 > -0.455 > -0.46

A rational number is any number that can be written as a quotient between two integer numbers.

Particularly, any number with a finite number of digits after the decimal point is also a rational number.

So to find a rational number between -0.45  and -0.46 we could se:

-0.455, such that:

-0.45 > -0.455 > -0.46

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Answer:

yes

Step-by-step explanation:

for each point, both the x and y coordinates are inverted

The complete table of values for the x values in function h(x) is

x        | -2    -1    0    1    2

h(x)   |  3     2     1      0   -1

From the question, the definition of the function is given as

h(x) = 1 - x

Also, from the table of the values;

We have the following x values

x = -2, -1, 0, 1 and 2

The next step is that

We substitute each value of x in the equation h(x) = 1 - x

So, we have

When x = -2

h(-2) = 1 + 2

Evaluate

h(-2) = 3

When x = -1

h(-1) = 1 + 1

Evaluate

h(-1) = 2

When x = 0

h(0) = 1 + 0

Evaluate

h(0) = 1

When x = 1

h(1) = 1 - 1

Evaluate

h(1) = 0

When x = 2

h(2) = 1 - 2

Evaluate

h(2) = -1

When represented on a table of values, we have

x        | -2    -1    0    1    2

h(x)   |  3     2     1      0   -1

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Possible question

The function h is defined by the following rule h(x) = 1 - x

Find H(x) For Each x-Value In The Table

x = -2, -1, 0, 1 and 2

From the graph, we can't see any clear asymptote. Also, the arrow at the right tip of the graph tells us that it continues indefinitely, i.e., both the number of years and the population increases indefinitely.

Now, notice that the population increases as the number of years increases.

Therefore, the only true statement is:

As the number of years increases without bound, the population increases without bound.

The given equation is

The y-intercept of the new line is -10.

We have to find a new parallel line to the given equation, which means they must have the same slope.

Remember that the coefficient of x is the slope, so the slope of the given line is -1/4. This means the new line has a slope fo -1/4 because it's parallel.

So, we know that the new line has a slope of -1/4 and its y-intercept is -10. We use the slope-intercept form to write the equation.

this is

We are given :

-Cab fare for the first 1/6 mile = $1.10

-subsequent miles = $20

- total miles = 9

Calculations :

• 9 -1/6 = 54/6

= 54/6 - 1/6

= 53/6

• y = 1.10 + 53* 0.20 =$11.70

So correct option is number D

The independent variable is the cost of riding the subway.

The dependent variable is the number of times she can ride the subway.

The independent variable is the variable whose value is given. It is the value of the independent variable that determines the dependent variable.  The dependent variable is the variable whose value is determined by changes in the independent variable.

In this question, the cost of each ride is given. There is little or nothing Nina can do to change the price of the subway ride. Thus, it is the independent variable. The total amount of rides Nina can go on is dependent on the cost per ride and the total amount she has. Thus, it is the dependent variable.

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To begin solving this question, let us represent the unknown number by x.

First

We are told that twice a number is increased by one-third the same number

so, we can represent this as

Next, we are told that the result is 28, thus

The final step will be to simplify the expression

Cross multiply to get x

Hence, the number is 12

The batch of sweet should contain 4 lb of Brand A granola

The batch of sweet should contain 6 lb of Brand B granola

Total amount of sweet items = 10 lb

Let the amount of brand A granola be x

Amount of brand B granola = 10 - x

Amount of nuts and dried fruits in the total sweet items = 22% of 10

Amount of nuts and dried fruits in the total sweet items = 0.22 x 10

Amount of nuts and dried fruits in the total sweet items = 2.2lb

Amount of nuts and dried fruits in brand A granola = 25% of x

Amount of nuts and dried fruits in brand A granola = 0.25x

Amount of nuts and dried fruits in brand B granola = 20% of (10-x)

Amount of nuts and dried fruits in brand B granola = 0.2(10 - x)

Amount of nuts and dried fruits in brand A granola + Amount of nuts and dried fruits in brand B granola = Amount of nuts and dried fruits in the total sweet items

0.25x + 0.2(10 - x) = 2.2

0.25x + 2 - 0.2x = 2.2

Collect like terms

0.25x - 0.2x = 2.2 - 2

0.05x = 0.2

x = 0.2 / 0.05

x = 4 lb

The batch of sweet should contain 4 lb of Brand A granola

Amount of brand B granola = 10 - x

Amount of brand B granola = 10 - 4

Amount of brand B granola = 6 lb

The batch of sweet should contain 6 lb of Brand B granola

Let the numbers over par is (+) and the numbers under par is (-)

he scores 5 over par, 3 under par, 6 over par, and 3 under

par.

so, the expression is : (5) + (-3) + (6) + (-3)

So, the result will be:

over par = 5 + 6 = 11

under par = 3 + 3 = 6

subtract under par from over par

so, 11 - 6 = 5

So, the Cameron's score = 5