Answer question no.3

Therefore, the rate of the jet in still air is 708 mph and the rate of the Jetstream is 55 mph.

An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides separated by an equal sign (=). The left-hand side of the equation contains one expression and the right-hand side contains another expression. An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

Let's call the rate of the jet in still air "v" and the rate of the Jetstream "w". When the jet travels against the Jetstream, the effective speed of the jet is v-w, and when it travels with the jetstream, the effective speed is v+w.

We can set up two equations based on the given information:

1959 = 3(v - w)

2289 = 3(v + w)

Simplifying these equations, we get:

653 = v - w

763 = v + w

Now we can solve for v and w using elimination or substitution. Let's use elimination:

Add the two equations together:

653 + 763 = 2v

v = 708 mph

Substitute v back into either equation to solve for w:

763 = v + w

763 = 708 + w

w = 55 mph

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Considering the definition of an equation, the cost for one admission and r rides is Cost= 10 + 2×r

An equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a raised equation, means to determine by means of certain procedures the value that satisfies it.

Being "r" the number of rides, and knowing that:

the equation in this case is:

Cost= 10 + 2×r

Learn more about equations:

brainly.com/question/4983716

#SPJ1

The value of y-intercept = -1 and The value of x-intercept = -4

The value of the vertexes is-

Horizontally vertex: y = -2

Virtically vertex: x = -5

For the y-intercept, you must look at where the graph intersects with the y-axis. In this case, the graph intersects at -1.

For the x-intercept, you must look at where the graph intersects with the x-axis. In this case, the graph intersects at -4.

The horizontal asymptote is a y value the graph approaches but does not pass or touch. In this case, the y value is -2.

The vertical asymptote is an x value the graph approaches but does not pass or touch. In this case, the x value is -5.

learn more about graphs,

https://brainly.com/question/21543856

#SPJ1

In the exponential decay, A) r = -0.0839 , B) r = -8.39% , C) Value=$11,800.

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

To find the annual rate of change between 1992 and 2006, we can use the formula:

r = [tex](V_2/V_1)^{1/n}-1[/tex]

where V1 is the initial value, V2 is the final value, and n is the number of years between the two values.

=>r = -0.0839

Therefore, the rate of change between 1992 and 2006 is -0.0839.

To express the rate of change in percentage form, we can multiply the result from part A by 100:

=>r = -0.0839 x 100

=> r = -8.39%

Therefore, the rate of change between 1992 and 2006 is a decrease of 8.39%.

To find the value of the car in the year 2009, we can assume that the value continues to drop at the same percentage rate as calculated in part A.

From 2006 to 2009, there are 3 years. So, using the formula for exponential decay, we have:

where V0 is the value in 2006, r is the rate of decrease, and n is the number of years between 2006 and 2009.

=>V = 11792.51

Therefore, the value of the car in the year 2009 would be approximately $11,800 (rounded to the nearest $50).

To learn more about exponential decay refer the below link

https://brainly.com/question/12139640

#SPJ1

The apprοximate cοst per square inch οf the cοοkie cake is $0.50.

A line segment cοnnecting twο pοints οn a circle's perimeter and passing thrοugh its center is said tο be the circle's diameter. It is the furthest pοint οn the circle that can be measured.

The equation A=[tex]\pi r^{2}[/tex],where r is the circle's radius, determines the area οf a prοcess. The radius οf the cοοkie cake is equal tο half οf its diameter, οr 6 inches, οr 3 inches. The cοοkie cake's surface area is as fοllοws:

  A  = [tex]\pi r^{2}[/tex]

       = 3.14 x [tex]3^{2}[/tex]

       = 28.26 square inches

We divide the tοtal cοst by the area tο determine the apprοximate cοst per square inch οf the cοοkie cake:

Cοst per square inch = $14.13 / 28.26

                                   = $0.50

As a result, the cοοkie cake cοsts abοut $0.50 per square inch.

To learn more about diameter

https://brainly.com/question/5501950

#SPJ1

Answer:

A) 2 to 7

Step-by-step explanation:

Step 1: Determine How Many Child Tickets Were Sold

The question is asking about the ratio of the number of child tickets sold to the number of total tickets sold, but we can't find that unless we know how many child tickets were sold, so let's figure that out first.

We are given that 175 tickets were sold. Of those 175 tickets, 125 were adult tickets, and the rest were child tickets. This means that the number of total tickets sold was equal to the sum of the number of child and adult tickets sold. Therefore, there were 175 - 125 = 50 child tickets sold.

Step 2: Determine the Ratio of Child Tickets to Total Tickets

We now know that 50 out of the 175 total tickets sold were child tickets, so we can find the ratio of the two values. Remember that a ratio just represents the relation between numbers, so we can write the current ratio of child tickets to total tickets as 50 to 175. However, since ratios can be written as fractions, we quickly see that this ratio can be simplified.

In fraction form, this ratio is [tex]\frac{50}{175}[/tex]. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25 in this case, gives us [tex]\frac{2}{7}[/tex], so the final ratio is 2 to 7.

The number of CDs that need to be produced by the company in order to break even would be 685 CDs .

To break even, the revenue generated by selling the CDs must equal the total cost of producing them. Let's denote the number of CDs produced and sold as a.

Revenue = Price per CD × Number of CDs = 52a

Total Cost = Fixed Cost + Variable Cost × Number of CDs = 26000 + 14a

To break even, we set Revenue equal to Total Cost:

52a = 26000 + 14a

Now, we can solve for a:

52a - 14a = 26000

38a = 26000

a = 26000 / 38

a = 685 CDs

Find out more on breakeven point at https://brainly.com/question/16043238

#SPJ1

Answer:

Step-by-step explanation:

0.35 = 35/100

100.00 = 100

100×(35/100) = 35

0.5 = 5/10 = 1/2

150.50 = 1505/10

(1505/10)×(1/2) = 75,25

35+75.25 = 110.25

Answer: Ten liter, or one tenth of a hectoliter (2.6418 gallons liquid measure or 1.135 pecks dry measure): abbrev.dal.

A.Factorizing the polynomial is  (8x + 1/2)².

B.The polynomial 64x² + 8x + 1/4 is not prime.

Factorization is the process of expressing a mathematical expression, such as a number or a polynomial, as a product of its factors or simpler components.

To factorize 64x² + 8x + 1/4, we can use the factoring formula for a quadratic trinomial:

a² + 2ab + b² = (a + b)²

In this case, we have 64x² + 8x + 1/4, so we can rewrite it as:

(8x)² + 2(8x)(1/2) + (1/2)²

Notice that the first and last terms are perfect squares, so we can apply the factoring formula to get:

(8x + 1/2)²

Therefore, the factorization of 64x² + 8x + 1/4 is:

64x² + 8x + 1/4 = (8x + 1/2)²

The polynomial 64x² + 8x + 1/4 is not prime.

To know more about polynomial, visit:

https://brainly.com/question/11536910

#SPJ1

Answer:

Step-by-step explanation:

first give me a high five

It is obvious that he cannot read an entire page in one minute, meaning D (2/3) is literally the only possible answer.

Answer:

15.36

Step-by-step explanation:

In this equation, we will be using tangent, which is opposite over adjacent. In this case, the "opposite" will be x, and the "adjacent" will be 12. "θ" means the degrees or measurements of the angle.

To find the missing side of the triangle, we will set up a function. The function is:

Tan (θ) = opposite/adjacent

After plugging in the numbers and variables it will be:

Tan(52) = x/12

Then, we would multiply the 12 to both sides.

12 Tan(52) = x

Then we can plug it into a calculator. We should get 15.3592. We would then round it to the nearest hundredth, which is 15.36.

Answer:

First one worked for 20 hours, second one worked for 5 hours.

Step-by-step explanation:

50 times 5 : 250

45 times 20 :900

250+900 = 1150

Answer:

They will collide at (2,28),(8,16)

Step-by-step explanation:

give me branliest

Answer:

4

Step-by-step explanation:

This is a right triangle, so you can use the Pythagorean Theorem.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  C has to be the longest side. In this case, that is 5

[tex]a^{2}[/tex] + [tex]3^{2}[/tex] = [tex]5^{2}[/tex]

[tex]a^{2}[/tex] + 9 = 25  Subtract 9 from both sides

[tex]a^{2}[/tex] + 9 - 9 = 25 - 9

[tex]a^{2}[/tex] = 16   Take the square root of both sides.

[tex]\sqrt{a^{2} }[/tex] = [tex]\sqrt{16}[/tex]

a = 4

Helping in the name of Jesus.

The values of the segments A'B' and B'B for the similar triangle ∆ABC area 4 and 4 respectively.

The triangles ABC and A'B'C are similar, this implies that the length A'C of the smaller triangle is similar to the length AC of the larger triangle

so for the segment A'B;

3/9 = A'B'/12

A'B' = (3 × 12)/9 {cross multiplication}

A'B' = 4.

Also for the segment B'B;

3/9 = 2/(2 + B'B)

3(2 + B'B) = 2 × 9 {cross multiplication}

6 + 3B'B = 18

3B'B = 18 - 6

B'B = 12/3

B'B = 4

Therefore, the values of the segments A'B' and B'B for the similar triangle ∆ABC area 4 and 4 respectively.

Know more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

Answer: When Lily is 10, Jacob will be 18. When she is 16, he will be 24.

Step-by-step explanation: This is because Jacob is 8 years older than Lily, as seen by subtracting her age from his age (13 - 5 = 8). From there, we just add 8 to Lily's ages from then on. 10 + 8 = 18, and 16 + 8 = 24.

Answer:

59

Step-by-step explanation:

By answering the presented question, we may conclude that Therefore the pattern is that these three fractions are all equal and reflect the same proportion of a whole, which is half.

In mathematics, a fraction is a number that represents a component of a whole or a ratio between two things. It is shown as a top number (numerator) split by a horizontal line, also known as a vinculum, over a bottom number (denominator). For example, the fraction 3/4 indicates three-quarters of a whole split into four equal pieces. A fraction can be expressed using proper fractions, improper fractions, or mixed integers. A appropriate fraction is one with a numerator smaller than the denominator, such as 2/5.

The provided fractions 1/2, 2/4, and 4/8 have the pattern of being comparable fractions.

This indicates that even though they are worded differently, they reflect the same percentage or quantity of a total. Each fraction, in particular, represents half of the whole.

To see that these fractions are comparable, divide the numerator and denominator by the same number. For example, 2/4 may be simplified by dividing both the numerator and denominator by 2, yielding 1/2. Similarly, we may simplify 4/8 by dividing the numerator and denominator by 4, yielding 1/2.

Therefore the pattern is that these three fractions are all equal and reflect the same proportion of a whole, which is half.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Answer: 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 divided by 1 is 0 similarly to other numbers.

For example 5/1 = 5

Although, 1/0 is undefined as it isn't legal.

The equation of the line is y=-4x+9. In order to find the equation of the line, we must first calculate the slope (m) of the line.

Slope is a measure of the steepness of a line on a graph. It is calculated by finding the ratio of the vertical change between two points, divided by the horizontal change between the same two points.

The slope is calculated by dividing the change in y-coordinates (rise) by the change in x-coordinates (run).

In this case, the rise is -5 – (-9) = 4, and the run is 1 – 0 = 1. Therefore, the slope of the line is m = 4/1 = 4.

Next, we plug the slope and a point on the line into the point-slope form of a line equation: y - y1 = m(x - x1).

We can choose any point on the line, so let's use (0, -9).

Plugging in the values, we get:

y - (-9) = 4(x - 0)

Simplifying, we get:

y = 4x - 9

Therefore, the equation of the line is y = 4x - 9.

For more questions related to coordinates

https://brainly.com/question/20935031

#SPJ1

Answer:

R5.98

Step-by-step explanation:

R3.60×66÷100= R2.38 (66% of R3.60)

R3.60+R2.38= R5.98

how to find 66%

R5.98-R3.60

=R2.38÷R3.60

=R0.66×100

=66%

The current dimensions of the rectangular soccer field are 45 yards by 100 yards.

What is area of the rectangle?

Area = Length × Width

Here let the width be "w" yards.

Then, according to the problem, the length is 55 yards longer than the width, so the length would be "w + 55" yards.

We can use this information to create an equation for the area of the rectangular field:

Area = (w + 55)w

Area = w² + 55w

Next, the problem tells us that if we increase the width by 5 yards and cut the length in half, we get a square. Let's call the side length of this square "s". We can create another equation for the area of this square:

Area = Side length²

Area = s²

We can use algebra to solve for the current dimensions of the rectangular soccer field. First, we need to find an equation for the side length of the square in terms of the current dimensions of the rectangular field:

s = w + 5 (since we increased the width by 5 yards)

s = (w + 55)/2 (since we cut the length in half)

Setting these two equations equal to each other and solving for "w" gives us:

w + 5 = (w + 55)/2

2w + 10 = w + 55

w = 45

So the width of the rectangular soccer field is 45 yards. Using the equation we created earlier for the length, we can find the length:

Length = Width + 55

Length = 45 + 55

Length = 100

Therefore, the current dimensions of the rectangular soccer field are 45 yards by 100 yards.

Learn more about rectangle here:

https://brainly.com/question/25292087

#SPJ1

Joe made about $72 from selling comic books last week.

To determine how much money Joe made from selling comic books, we need to find the percentage of $720 that corresponds to comic book sales.

According to the graph, comic book sales account for 10% of Joe's total sales.

To calculate this, we can multiply the total sales ($720) by the percentage of comic book sales (10% or 0.1):

$720 x 0.1 = $72

Therefore, Joe made about $72 from selling comic books last week.

Read more about graphs here":

https://brainly.com/question/26233943

#SPJ1

Joe’s Convenience Store took in $720 last week. According to Example Graph #1, about how much money did he make from selling comic books?

From the content of the graph

The amount of money Joe made is given below:

Selling comic books 10%

Selling costumes 25%

Selling hardware 40%

Selling miscellaneous 20%

Answer:

Step-by-step explanation:

We Know

A car last month was $250 this month its $330

What is the percent increase?

We Take

(330 ÷ 250) × 100 = 132%

Then We take

132 - 100 = 32%

So, 32% increase.

We can use logical reasoning to conclude that the order is "teenager, little boy, tall man, and woman" as per the explanation below, based on the clues.

Logical reasoning is a process of using rational thinking and deduction to arrive at a conclusion based on available information. In the given problem, logical reasoning is used to analyze the provided clues and determine the order of the four people standing in line.

By carefully examining the clues and using a process of elimination, we can deduce the position of each person in the line. We use logical reasoning to eliminate the possibilities that contradict the given information, and to arrive at the correct sequence that fits all of the provided conditions.

First, we know that the tall man is between the woman and the little boy. So, they can appear in either of the following orders:

However, we are told that the little boy is next to a teenager who is not last. So:

Thus, we can conclude that we have correctly answered this question.

Learn more about logical reasoning here:

https://brainly.com/question/30064323

#SPJ1

Answer:

-7\sqrt[3]{193}x^3\sqrt[3]{x}

Step-by-step explanation:

The HCF is 6x^2yz^3

HCF means Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers. It is also the greatest possible number of all their common factors.

To find the HCF of the following,

24x^3yz^4 , 30x^2y^2z^3, 36x^3y^2z^3

To find the HCF among the first value,

24 , 30 and 36

Factors of 24 are 2, 3, 4, 6, 8, 12, 24

Factors of 30 are 2, 3, 5, 6, 10, 15, 30

Factors of 36 are 2, 3, 4, 6, 9, 12, 18, 36.

The highest common factor that it can be divisible with is 6

Among x^3 , x^2 and x^3

The factors of x^3 are x, x^2, x^3

Factors of x^2 are x, x^2

Factors of x^3 are x, x^2, x^3

The highest common factor is x^2

Among y , y^2 and y^2

Factors of y is y

Factors of y^2 are y, y^2

The highest common factor is y

And among z^4 , z^3 and z^3

Factors of z^4 are z, z^2, z^3, z^4

Factors of z^3 are z, z^2, z^3

The highest common factor here is z^3

Therefore, the highest common factor is 6x^2yz^3

Read more about HCF

https://brainly.com/question/28899356

#SPJ1