Regroup through thousands<br><br>9 tens 10 ones= hundreds

Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo

Alika [10]

Answer: rate of the plane is 197.5 mph

rate of wind is 4.5 mph

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

386 = 2(x - y)

Dividing both sides of the equation by 2, it becomes

193 = x - y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

395 = 2x

x = 395/2

x = 197.5

Substituting x = 197.5 into equation 1, it becomes

202 = 197.5 + y

y = 202 - 197.5

y = 4.5

3 0

3 years ago

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9

Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

8 0

2 years ago

In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to

Verizon [17]

Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).

Step-by-step explanation:

Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.

Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).

i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).

Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).

7 0

2 years ago

the radius of the base of a cylinder is 7cm and height is 8cm find the volume and surface area of the solid cylinder

Musya8 [376]

Answer:

Volume=1232cm Surface area=660cm

Step-by-step explanation:

Volume=π x r² x t

=22/7 x 7 x 7 x 8

=1232cm

Surface area=2 x π x r x (r+t)

=2 x 22/7 x 7 x (7+8)

=44 x 15

=660cm

SORRY IF I AM WRONG, I'M TRYING MY BEST

8 0

2 years ago

This is Simple Interest 7 grade Ratio and Percent Problems

erastovalidia [21]

Formula: total = principal x (1 + (interest rate x loan time))

total = 1000 x (1 + (0.055 x 2))

total = 1000 x (1 + 0.11)

total = 1000 x 1.11

total = $1110

8 0

3 years ago

Regroup through thousands9 tens 10 ones= hundreds