A jet departs from an airport flying east. At the same time, a second jet departs from the same airport flying west at a speed of 20 miles per hour slower than the first jet. After 1.5 hours, the planes are 1,500 miles apart. What is the speed in miles per hour of the jet traveling east?

A. 300

B. 750

C. 510

D. 490

Answers

Answer 1

Answer:

490mph and 510mph

Step-by-step explanation:

Let x mph and x+20 mph be the speeds of the planes. The rate at which their distance from each other increases will be the sum of their speeds which is 2x+20 mph.

Their distance from each other after three hours is ( 1.5 hours)*(2x+20 mph) = 3x+30 miles. We are given that this is 1500 miles so we can solve for x.

3x+30 = 1500

3x = 1500 - 30

3x = 1470

x = 1470/3

x = 490mph

For the second jet :

x +20 = 490+20

x = 510

Thus the speeds of the two planes are 490 mph and 510mph.

Answer 2

Answer:

510 miles

Step-by-step explanation:

Please kindly check the attached file for explanation.

A Jet Departs From An Airport Flying East. At The Same Time, A Second Jet Departs From The Same Airport

Related Questions

simplify 3^5 x 3^4
A: 3^9
B: 6^9
C: 3 x 20
D: 3^20

Answers

Answer:

3^9

Step-by-step explanation:

when multiplying and the bases are the same number simply add the exponents ex: a^b x a^c = a^b+c

cos72cos130+sin72sin130

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Answer:

.5299192646

Step-by-step explanation:

Just plug it in a calculator

Find the area of this parallelogram

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182. U have to multiply 14 and 13 and u get 182.

what is 3.61 in radical form ​

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It is not possible to convert a decimal value to an exact value

What is the input value for which
f(x)=−3

Answers

Answer:

Every value of x.

Step-by-step explanation:

The function is a zero-order polynomial, whose value remains constant for all value of x.

Garrett's family is going to relax at the beach all day! In preparation, Garrett made s
sandwiches for them to eat when they get hungry. Garrett put 3 slices of turkey and 3 slices
of ham on each sandwich.
Pick all the expressions that represent how many slices of meat Garrett used on the
sandwiches.
6s
3 + 3 + S
9s
3s + 3s​

Answers

Answer:

6s

3s + 3s

Step-by-step explanation:

2 What is the minimum amount of information you need in order to calculate the slope of a line?

Answers

Answer:

y=mx+b

Step-by-step explanation:

The formula to find the slope is y=mx+b

hope this helps

Answer:

you need to know what the pairs of numbers match to get a possible answer

Step-by-step explanation:

once u know that you can do the rest of the math and it depends how to multiply

A triangle has one angle that measures 31 degrees, one angle that measures 46 degrees, and one angle that measures 103 degrees. A.
equilateral triangle
B.
scalene triangle
C.
right triangle
D.
isosceles triangle

Answers

it’s likely scalene since none of the angles are the same
B. Scalene triangle

what is the unit rate of 49 points in 7 games

Answers

Answer:

7

Step-by-step explanation:

49÷7

Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the interest rate is compounded annually, quarterly, monthly, or daily? Which compounded interest rate should Darren choose?

Answers

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.    

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]5\%=\frac{5}{100}=0.05[/tex]

When compounded annually, [tex]n=1[/tex]:

[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]

[tex]A=4500(1.05)^{10}[/tex]

[tex]A=4500(1.6288946267774414)[/tex]

[tex]A=7330.025820498\approx 7330.03[/tex]

When compounded quarterly, [tex]n=4[/tex]:

[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]

[tex]A=4500(1.0125)^{40}[/tex]

[tex]A=4500(1.6436194634870132)[/tex]

[tex]A=7396.28758569\approx 7396.29[/tex]

When compounded monthly, [tex]n=12[/tex]:

[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]

[tex]A=4500(1.00416666)^{120}[/tex]

[tex]A=4500(1.64700949769)[/tex]

[tex]A=7411.542739605\approx 7411.54[/tex]

When compounded daily, [tex]n=365[/tex]:

[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]

[tex]A=4500(1.0001369863013699)^{3650}[/tex]  

[tex]A=4500(1.6486648137656943695)[/tex]

[tex]A=7418.9916619456\approx 7419.00[/tex]

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

If each necklace chain is 18 inches long, how many necklaces can be made from 137.16 centimeters of silver chain?

Answers

Answer:

3

Step-by-step explanation:

to convert the centimeters to inches, divide 137. 16 by 2.54

you should get 54

then divide by 18

you get three

Final answer:

You can make 3 necklaces from 137.16 centimeters of silver chain, given that each necklace is 18 inches long. We first converted the necklace length to centimeters, and then divided the total length of silver chain by the length of each necklace.

Explanation:

To find out how many necklaces can be made from 137.16 centimeters of silver chain, we first need to convert the units because the length of the necklace chain is given in inches, while the total amount of silver chain is given in centimeters.

We know that 1 inch is equal to 2.54 centimeters. Therefore, if each necklace is 18 inches long, the length of each necklace in centimeters is 18 inches * 2.54 cm/inch = 45.72 cm.

Now, to find the number of necklaces that can be made, we divide the total length of silver chain by the length of each necklace. That is 137.16 cm / 45.72 cm/necklace = 3 necklaces (rounded down to the nearest whole necklace, because we cannot make a fraction of a necklace).

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For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles? (1 mile = 5,280 feet) Round your answer to the nearest whole number.

Answers

Answer: The wheels turn about 3771 times in 5 miles.

Step-by-step explanation:

Given, Kelly rides on her bicycle such that the number of times wheels turn for every 140 feet = 20

Turns for every feet = [tex]\dfrac{20}{140}=\dfrac{1}{7}[/tex] ...(i)

To find : Number of times wheels turn in 5 miles.

Since , 1 mile = 5,280 feet

Then, 5 miles = 5 x (5,280 feet) = 26,400 feet

Now , Number of times the wheels turn in 26,400 feet = 26400 x (Turns for every feet)

[tex]26400\times\dfrac{1}{7}=3771.42857143\approx3771[/tex]   [From (i)

Hence, the wheels turn about 3771 times in 5 miles.

there are 80 student in a class if 6 of them are absent then find the percentage of the present student​

Answers

Answer:92.5%

Step-by-step explanation:

Divide 100 by 80 to find the percentage each student counts for

Then multiply the product(1.25) by 74 (the present students) to get the answer

Answer: 74/80 = 92.5% of the students are present.

A line passes through the point (-8, 8) and has a slope of 5/2.

Write an equation in point-slope form for this line.

Answers

Answer:

y=5/2x + 8

Step-by-step explanation: Y=mx+b is the equation for slope intercept form. Basically you just have to plug in the numbers.

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{10}{17}cos(θ 1 ​ )= 17 10 ​ cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 10, divided by, 17, end fraction . What is the value of \sin(\theta_1)sin(θ 1 ​ )sin

Answers

Answer:

sin ( θ ) = 3√21 / 17

Step-by-step explanation:

Given:-

- The angle (θ) lies in the first quadrant. Where theta is defined as:

                               cos ( θ ) = 10 / 17

Find:-

- Find sin ( θ ) :

Solution:-

- We will draw a right angle triangle in the first quadrant. With base, B = 10 and hypotenuse H = 17. Since,

                               cos ( θ ) = B / H = 10 / 17

- Using pythagorean theorem determine the perpendicular side length:

                               H^2 - B^2 = P^2

                               17^2 - 10^2 = P^2

                               √189 = P

                              P = 3√21

- Now evaluate sin ( θ ):

                               sin ( θ ) = P / H

                               sin ( θ ) = 3√21 / 17

Answer:

√111 / 20

Step-by-step explanation:

What is the slope of the graphed line ?

Answers

Answer:

you cannot see the graph

Step-by-step explanation:

1/3

The slope is determined by change in y / change in x.

Here we can see that it takes 3 blocks from (1,1) until the line is on an integer, (4,2) and that y increases by one while x increases by 3.

The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65, while the difference in their areas is 33. Find the sum of their perimeters.

Answers

We can call the areas of the squares x and y. x+y=65 and x-y=33.

x would have an area of 49 and y has an area of 16.

Each side of x would be 7 and each side of y would be 4.



A regular octagon has an apothem of 11.6 inches and a perimeter of 87.2 inches. What is the area of the octagon

Answers

Answer:

The area of the octagon is 505.76 [tex]inches^{2}[/tex]

Step-by-step explanation:

In this question, we are tasked with calculating the area of an octagon given the values of the apothem and the perimeter

Mathematically, the area can be calculated using the formula below;

Area = 1/2 × apothem × perimeter

where according to the question, the apothem = 11.6 inches and the perimeter = 87.2 inches

Plugging these value into the equation given above, we have

Area = 1/2 × 11.6 × 87.2 = 505.76 [tex]inches^{2}[/tex]

Ed genuity
Triangle A B C is shown. Angle A C B is a right angle, angle C A B is 60 degrees, and angle A B C is 30 degrees. The length of the hypotenuse is 10. What are the lengths of the other two sides of the triangle? AC = 5 and BC = 5 AC = 5 and BC = 5 StartRoot 5 EndRoot AC = 5 StartRoot 3 EndRoot and BC = 5 AC = 5 and BC = 5 StartRoot 3 EndRoot

Answers

Hope This Helps! :)

Explanation:

The measure of the two sides of the triangle are 5√3 & 5 units respectively.

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: A triangle ABC with angle as C as a right angle and the hypotenuse is equal to 10

Let the perpendicular and the base of the triangle is p and b respectively.

Thus

Sin 60=p/10

p=10×√3/2

p=5√3

Also, Cos 60=b/10

             b=10×1/2

             b=5

Hence, The measure of the two sides of the triangle are 5√3 & 5 units respectively.

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Jayden school is selling tickets to play on the first day of ticket sales to school sold six adult tickets and 12 child tickets for a total of $252 the school took 243 on the second day by selling 14 adult tickets and five child tickets what is the price of one adult ticket and one child ticket

Answers

Answer:

iihiuhihiuiu

Step-by-step explanation:

ioiiuouioiiouuioooooooooooooooooooooiuuguygy

what is the input value other than 7 for which g(x)=4

Answers

Given:

It is given that the value of the graph when the input 7 is [tex]g(x)=4[/tex]

We need to determine the value of x when [tex]g(x)=4[/tex]

Value of x when [tex]g(x)=4[/tex]:

The value of x can be determined by using the graph.

From the graph, we need to determine the value of x when [tex]g(x)=4[/tex] other than the value x = 7.

This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.

Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.

Therefore, the input value is x = -8 which makes [tex]g(x)=4[/tex]

Hence, the input value other than 7 for which [tex]g(x)=4[/tex] is x = -8.

The input value other than 7 for which g(x) = 4 is x = -8.

It is given that the value of the graph when the input 7 is g(x)=4

We need to determine the value of x when g(x)=4

Value of x when g(x)=4:

The value of x can be determined by using the graph.

This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.

From the graph, we get that the graph of g(x) passes through the point (x = -8, y = 4),

Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.

Then indeed, the input value (x) other than 7 for which g(x) = 4 is x = -8.

As, the function g(x) takes the value of 4 at x = -8, according to the graph.

Therefore, the input value is x = -8 which makes g(x) = 4.

Hence, the input value other than 7 for which g(x) = 4 is x = -8.

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Please help! Will give brainliest!

Answers

Answer:

The answer to your question is 365040000 lb or 3.65 x 10⁸ lb

Step-by-step explanation:

Data

Rectangular pyramid

base = 100 yd x 78 yd

height = 100 yd

weight of a stone = 468 lb/yd³

Process

1.- Calculate the volume of the pyramid

Volume = area of the base x height

-Substitution

Volume = 100 x 78 x 100

-Simplification

Volume = 780000 yd³

2.- Calculate the weight of the pyramid

                     468 lb ------------------------ 1 yd³

                         x      ------------------------780000 yd³

                         x = (780000 x 468) / 1

                         x = 365040000 lb or 3.65 x 10⁸ lb

Un supermercado lanza una promoción para agradecer la fidelidad de sus clientes así: cada que 33 personas pasen por la caja registradora se le regala al cliente de turno un descuento del 50% en sus compras y, cada que pasen 44 personas, al cliente de turno se le obsequiará un televisor LCD de 32 pulgadas. ¿Cada cuántos clientes se ganan los dos premios es una misma compra? A. 77 clientes. B. 88 clientes. C. 99 clientes. D. 132 clientes.

Answers

Answer: La respuesta es cada 132 clientes

Lo que hice fue poner la parte de 33 y 44 sumándose entre si:

33+33=66+33=99+33=132 etc

44+44=88+44=132 etc

Y si te diste cuenta concuerdan los dos en 132

Espero que te sirva

Aplicando el mínimo común múltiplo, se encuentra que a cada 132 clientes se ganan los dos premios es una misma compra, opción D.

Los clientes que ganan el descuento de 50% son los múltiplos de 33.Los clientes que ganan el televisor LCD de 32 pulgadas son los múltiplos de 44.

Para ver los que ganam ambos, hay que ver lo mínimum común múltiplo de 33 y 44, o sea:

33 - 44|2

33 - 22|2

33 - 11|3

11 - 11|11

1

mcm(33,44) = 2x2x3x11 = 132

O sea, cada 132 clientes se ganan los dos premios es una misma compra, opción D.

Un problema similar es dado en https://brainly.com/question/10894149

Find: 0.15 cents of $2 dollars

Answers

Answer:

12

Step-by-step explanation:

Brian is buying T-shirts for the marching band. He knows that at parades the band forms 24 rows. Each row has 13 students. If T-shirts come in boxes of 100, how many boxes of T-shirts should Brian buy?

Answers

Answer:

4 boxes (Brainliest Please)

Step-by-step explanation:

You have to find the amount of students

24 X 13 = 312

You have to get enough for everybody so you need 400 shirts so that everyone can get one.

400 / 100

4 boxes

An online shoe store is having a sale. The original price of each pair of shoes is p dollars. The store sells 15 pairs of shoes and earns a total of (15p−30) dollars.

Answers

The factored expression is 15(p - 2) . The discount per pair of shoe is $2

Using the expression given:

15p - 30

Factorize :

The greatest common factor of 15 and 30 is 15

15(p - 2)

Hence, the factored expression Using GCF is 15(p - 2)

b.)

The discount on the purchase is the constant value:

Total discount = 30

Number of shoes = 15

Discount per pair = Total discount/ Number of shoe pairs

Discount per pair of shoes = 30/15 = $2

Therefore, the discount on each pair of shoes is $2

Complete Question:

An online shoe store is having a sale. The original price of each pair of shoes is p dollars. The store sells 15 pairs of shoes and earns a total of (15p−30) dollars. a. Factor the expression using the GCF.

15p−30=

b. The discount per pair of shoes is $

Where does photosynthesis take place

Answers

In the chloroplast of the leaf

Answer:chloroplast

Step-by-step explanation:It’s takes place inside plant cells in small things called “chloroplast”

In order for you to answer the following question correctly, please use the images down below:

Complete the two-column proof of the Segments of Chords Theorem.

Please correct me for any of the answers I got wrong.


Answers

AEC is congruent to DEB should be the answer for 5.

ALSO...

You're proving that EB * EA = EC * ED, so the 7th blank should be "EB * EA = EC * ED"

Otherwise, everything else is good.

M varies inversely as the square of P. If M is 9 when P is 2, then find M when P is 3.

please h e l p

Answers

Answer:

Step-by-step explanation:

If two quantities are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable and vice versa.

Given that M varies inversely as the square of P, if we introduce a constant of proportionality, k, the expression becomes

M = k/P²

If M = 9 when P = 2, then

9 = k/2² = k/4

k = 9 × 4 = 36

Therefore, the inverse variation equation is

M = 36/P²

When P = 3,

M = 36/3² = 36/9

M = 4

How are part to part ratios different from part to whole ratios?

Answers

Answer:

Part to part ratios are comparing two different things that sum up to its whole, and part to whole ratios are a part of something compared to the whole thing.

Step-by-step explanation:

It's kinda hard to explain..

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