A square has a diagonal length of 24 inches. What is the area of the square?

Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet

goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

3 0

2 years ago

How can you check the solution to x+5=3x-1

Dominik [7]

First solve it, then do the reverse operation to it

7 0

2 years ago

Read 2 more answers

Felix's parents opened a savings

Crazy boy [7]

The money in the Felix's account will be $6798 when he is 21.

Step-by-step explanation:

It is given that,

The amount deposited is $2000.
The account earns 6% compound interest.
It is compounded annually for 21 years.

To find the money in Felix's account after 21 years :

The formula used here is,

⇒ $A = P(1+r/n)^{nt}$

where A is the amount after 21 years.

P is the initial amount deposited ⇒ P = 2000
r is the rate ⇒ r = 0.06
n is the number of times interest is compounded per year⇒ n = 1
t is the time period ⇒ t = 21

⇒ $2000(1+0.06/1)^{21\times 1}$

⇒ $2000(1.06)^{21}$

⇒ $2000\times3.399$

⇒ $6798$

Therefore, The money in the Felix's account will be $6798 when he is 21.

4 0

3 years ago

You are purchasing 2 shirts at $15.00 each and 1 pair of jeans at $30.00 each. You have a coupon for 10% off. How much is the to

andrey2020 [161]

Answer: $54

The shirts in total cost $30 and with the additional $30 cost of the jeans the total price without a discount is $60. You then take the discount and turn it into a decimal (0.10) and multiply it by the $60 total. This gives you 6, which is the amount of money you take off, which means the total is $54

4 0

2 years ago

Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik

sergejj [24]

Answer:

Yellow troop will complete the hike faster than blue troop

Blue troop hikes 1.33 miles in 1 hour

Yellow troop hikes 2.25 miles in 1 hour

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels $\frac{2}{3}$ miles ever $\frac{1}{2}$ hour: