Airplane X left the airport, flying at a rate of 400 miles per hour. Airplane Y left 2 hours later, flying at a rate of 450 miles per hour. How long will it take airplane Y to catch up to airplane X?

Answers

Answer 1

Answer:   i think it will take 48 hours

Step-by-step explanation:

here's how to get 48 so basically 450-400-2= 48

now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48

i hope this helps!


Related Questions

5
5
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
3
2
+
(3, 1)
-5 -4 -3
2
=
3
4
5
х
-11 2
| (0, 1)
-2.
O y=x+3
O y=x+2
O y=-*x+3
O y=-x+2
-3
-5

Answers

Answer:

b                                                  

Step-by-step explanation:

                                                                                                                                                       

The solution is, the slope-intercept form equation is, y = -4x -6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The given segment has a rise if 1 for a run of 4, so a slope of ...

 m = rise/run = 1/4

The desired perpendicular has a slope that is the negative reciprocal of this:

 m = -1/(1/4) = -4

A point that has a rise of -4 for a run of 1 from the given midpoint is ...

 (-1, -2) +(1, -4) = (0, -6) . .  . . . . . the y-intercept of the bisector

So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...

 y = mx +b

 y = -4x -6

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Which of the following describes the solution to a system of linear inequalities?
A. The soultion is the region where both shaded parts overlap.
B. The solution is everything on the shaded graph.

Answers

Answer:

A. The solution is the region where both shaded parts overlap.

Step-by-step explanation:

The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.

The shaded area represents the solution and where the two inequalities overlap.

Please help with this

Answers

Answer:

1) the quadratic formula2) factoring (zero product property)

Step-by-step explanation:

1) using quadratic formula

(b)² - 4ac  ----(always write the formula)

3 ( 4x + 1 )² - 5 =25

(12x + 1)² - 5 = 25 (using (a+b)^2)

144x² + 24x +1 - 5 = 25

144x²+ 24x - 4 = 25

144x² + 24x =29

144x² + 24x - 29= 0 (thus, formed and equation)

A=144, b= 24, c= -29

(24)² - 4(144 X -29)

576 - 4 X -4176

576 + 16704=0

17280>0, therefore it has 2 distinct real roots

2) x²-8x+12=0

sum= -8, product= 12

-2,-6

so,

x²-2x -6x + 12

x ( x - 2 ) -6 ( x - 2 )

(x-2) (x-6)

X= 2, 6

Hope it is correct and helpful

Stay safesorry for the late answer

$6500 for 5 years at 5.5% compounded monthly

Answers

Answer:

$8,552.07

Step-by-step explanation:

The final balance is $8,552.07


The total compound interest is $2,052.07

A car travels 80 miles on 3 gallons of gas. At the same rate (in miles per gallon) l, how many miles will the car be expected to travel on 5 gallons of gas?

A. 48

B. 130

C. 133 1/5

D. 160

Answers

Answer:

C

Step-by-step explanation:

Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?​

Answers

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

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Answer:

4 • 3^11

Step-by-step explanation:

QUICK PLEASE Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.

Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4

Josiah’s work:

StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.

Answers

Answer:

Sample 1

Step-by-step explanation:

7)
20 cm
12 cm
14 cm
Find the area of the gray shaded region in the figure.
A)
84 cm?
B)
112 cm?
196 cm

Ε
D)
280 cm?

Answers

Answer:

where is the figure

pls send it

given that three points 15 raise to power 6 is equal to 3 raise to power 6 x b correct to four decimal places​

Answers

Answer:

A. Directions: Encircle the letter of the correct answers

Step-by-step explanation:

1.the I in resign sounds like the I in.

A. hit B. High

A map has a scale of 3 cm:20 km. If two cities are 30 cm apart on a map, how far are the cities actually apart?

Answers

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

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Need help with this geometric question ASAP, Thank you

Answers

It would be an isosceles triangle. Consider both sides are equal the angles would have to be equal, creating an isosceles triangle.

SOMEONE PLSSS HELP ME FAST
WILL MARK BRAINLIEST

Answers

Answer:

D. 45

Step-by-step explanation:

To find out how many games will be played with 10 people, we need to first find the pattern of the given table. To start out, we can see that for the numbers of players added, it adds one each time it goes up one number. And, we can also see that starting at 1 games played, it adds 2 for the next and gets 3 games. Then it adds 3 to get 6 games. So, we can see that for every added person added, it starts at 1 and adds 2, then adds, 3, 4, 5, 6, etc... Knowing this, we can figure out how many games will be played with 10 people.

2 people gets 1 games

+1                    +2

3 people get 3 games

+1                    +3

4 people get 6 games

So, now we can simply skip to 6 and seven players becuase we know that the pattern holds true to itself.

6 people get 15 games

+1                   +6

7 people get 21 games

+1                   +7

8 people get 28 games

+1                    +8

9 people get 36 games

+1                   +9

10 people get 45 games

Out of 100 people sampled, 36 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to four places

Answers

Answer:   (0.2659, 0.4541)

This is the same as saying 0.2659 < p < 0.4541

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

Work Shown:

At 95% confidence, the z critical value is about z = 1.96 which is determined through a table or calculator.

x = number of people who had kids = 36

n = sample size = 100

phat = sample proportion of those who had kids

phat = x/n

phat = 36/100

phat = 0.36

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.36*(1-0.36)/100)

E = 0.09408

This value of E is approximate because z = 1.96 is approximate.

-------------

L = lower bound

L = phat - E

L = 0.36 - 0.09408

L = 0.26592

L = 0.2659

U = upper bound

U = phat + E

U = 0.36 + 0.09408

U = 0.45408

U = 0.4541

The values of L and U are approximate since E is approximate.

-------------

The confidence interval in the format (L, U) is (0.2659, 0.4541)

This is equivalent to writing 0.2659 < p < 0.4541

which is the format L < p < U

We're 95% confident that the true population proportion (p) is somewhere between 0.2659 and 0.4541; i.e. we're 95% confident the true percentage of people who had kids is somewhere between 26.59% and 45.41%

A production process produces 2.5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

Answers

Using the binomial distribution, it is found that there is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, we want P(X = 2) with p = 0.025, n = 5, hence:

[tex]P(X = 2) = C_{5,2}.(0.025)^{2}.(0.975)^{3} = 0.0058[/tex]

There is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

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A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains at its current rate, what will the price be 5 years from now?

Answers

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

What is the price of the bond five years from now?

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

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Please helppppppp thank you so much

Answers

Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Karen drew a triangle with side lengths 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?​

Answers

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

Find the quadratic polynomial that completes the factorization.
u^3 - 27 = (u - 3)

Answers

Answer:

[tex]u^2+3u+9[/tex]

Step-by-step explanation:

The way to remember it, is like the square of a binomial, but all coefficients are 1.

So it's the square of the first term. The cross product. The square of the second. And you take only one of them.

In our situation is [tex]u^2+3u+9[/tex]

If you want a way to find it, the way you think is it. It's a second degree polynomial, so [tex]au^2+bu+c[/tex]. Then you multiply the terms together, and you have to get terms removing in a way that you're left with just [tex]u^3-27[/tex]. With some number crunching you'll end up with [tex]a=1; b=3, c=9[/tex]

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

Help help help math math

Answers

Answer:

>

Step-by-step explanation:

Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.

Answer:

Answer: 0 (> )-3

Step-by-step explanation:

Hope it helps

the table of value shows a linear relationship

Answers

Answer:

I believe your answer is A

Step-by-step explanation:

Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5

Hope this helps! :)

the legnth of a rectangle is three times its width. if the perimeter of the rectangle is 64 in, find the length and width

Answers

Step-by-step explanation:

According to the question,

Let the width of rectangle be x and length of rectangle be 3x

Perimeter of Rectangle :- 2(L+B) = 64 in

Putting the values we get ,

2(3x+x) = 64 in

8x = 64 in

x = 8 in

Putting the value of x ,

Width :- 8 Inch

Length :- 24 inch

Given:-

[tex]\rightarrow[/tex] Length(l) of the rectangle is three times it's width(w) = 3w.

[tex]\rightarrow[/tex] Width(w) of the rectangle = w.

[tex]\rightarrow[/tex] Perimeter of the rectangle = 64in.

To Find:-

[tex]\rightarrow[/tex]Length and width of the rectangle.

Solution:-

[tex]\rightarrow[/tex] Perimeter of rectangle = [tex]\sf{2(l+w)}[/tex] putting the value of perimeter, l and w from the above given)

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(3w+w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(4w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{8w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{64}{8}}[/tex]= [tex]\sf{w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{8}[/tex]= [tex]\sf{w}[/tex]

Therefore, width of the rectangle = 8in.

And Length = 3(8)in. = 24in.

To check whether the answer is correct or not, we can put the value of length and width in the formula = [tex]\sf{2(l+w)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(24+8)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(32)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 64in.}[/tex]

Since, the perimeter of the rectangle is same as given in the question, therefore the value of length and width are correct.

_______________________________

Hope it helps you:)

Help me pls answer 1&2&3 pls brainless

Answers

Answer:

3,1,5

Step-by-step explanation:

6.
Part I: Suppose a prism has a square base with each side of length 3.75 cm and a height
of 5.65 cm. Use the formula below to find the volume. Show your work and round your
answer to the nearest hundredth. (5 points)

Answers

Answer:

79.45401²

Step-by-step explanation:

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

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Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging​ (in millions) from the years 2000 to 2009 is given by the equation y=x+22, where x is the number of years after 2000.

a. Use this equation or a graph of it to complete the ordered pair ​(​4, ​ ).
b. Write a sentence explaining the meaning of the answer to part​ (a).
c. If this trend​ continues, how many joggers will there be in 2021 ​?

a. Complete ordered Pair
(4, )

Answers

Answer:

  a. (4, 26)

  b. The number of people jogging in 2004 was 26 million.

  c. 43 million

Step-by-step explanation:

To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:

a.

  y = x +22

  y = 4 +22 = 26

The ordered pair is (4, 26).

__

b.

The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.

__

c.

21 years after 2000, the value of x is 21, so the value of y is ...

  y = 21 +22 = 43

There will be 43 million joggers in 2021.

3. Monthly sales figures for January are 5600. This is expected to fall for the following 9 months at a rate of 2% each month. Thereafter sales are predicted to rise at a constant rate of 4% each month. Estimate total sales for the next two years (including the first January).​

Answers

For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the  total sales for the next two years  is mathematically given as

A=11968.04

What are total sales for the next two years (including the first January).​?

Generally,  the  total sales  is mathematically given as

A=5600(1-2/100)^9(1+4/100)^24

A=5600(.98)^9(1.04)^24

A=11968.04

In conclusion, total sales for the next two years

A=11968.04

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Help help help help help

Answers

Answer:

49.12

Step-by-step explanation:

Area of triangle =1/2 x b x h

=24

semi circle =(pie rxr)divuded by 2

=25.12

so, 25.12 +24=49.12

Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?

Answers

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

A thief steals an atm card and must randomly guess the correct five-digit pin code from a 8​-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first​ try?

Answers

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?

Answers

Answer:

B i had this text and made a 100

Step-by-step explanation:

b

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