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3 years ago

Start time: 9:38 A.M. Elapsed time: 5 hr 18 min What is the ending time

1 answer:

kondor19780726 [428]3 years ago

6 0

All we have to do is first, add 5 Hours to 9:38. This takes us so 2:38 PM. Then we add the 18 minutes, giving us 2:56 PM. The ending time is 2:38 PM.

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at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same

iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

d = 1720
x = plane's speed
y = wind speed
t1 = 5 hours
t2 = 4 hours.

Substitution

d = (x + y) * t
1720 = (x + y) * 4
1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

(x + y) * 4 = (x - y)*5 Remove the brackets.
4x + 4y = 5x - 5y Add 5y to both sides
4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
4x + 9y = 5x Subtract 4x from both sides
9y + 4x - 4x = 5x - 4x Combine
9y = x

Now use one of the given equations with the distance

1720 = (x + y)*4 Substitute 9y for x
1720 = (9y + y) * 4 Combine
1720 = 10y * 4 Multiply the right
1720 = 40y Divide by 40
1720/40 = 40y/40 Do the division
43 = y y = wind speek
9y = x x = 9*y
9*43 = x
x = 387 miles per hour.

4 0

4 years ago

our current account balance is $215. You have $322 of expenses each month. Your income is $444 per month. How long will it take

denis-greek [22]

It would be around 6 months to accumulate $1000 in your account

8 0

3 years ago

Read 2 more answers

Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±

chubhunter [2.5K]

Answer:

±2

Step-by-step explanation:

For simplicity let's take a look at a general third order polynomial:

ax^3 + bx^2 + cx + d. In this particular case,

rational roots have the form ±d/±a. Note that these are fractions/ratios. Beyond that, we factor d and choose numerators ±(all possible whole number factors of d, dividing these results by all possible factors of a.

Looking at 4x^3 + 9x^2 - x + 10 = 0, we see that d = 10 and that factors of d include ±1, ±2, ±5 and ±10. a = 4 and factors of a include ±1, ±2, ±4.

So, any rational roots of the given polynomial will stem from the possible rational roots

±1 ±2 ±5 ±10 ±1 ±2 ±5 ±10

--- , ----- , -----, ------- , ---- , ----- , --- , ------ , and so on,

±1 ±1 ±1 ±1 ±2 ±2 ±2 ±2

until you have used up all of the possible factors of 10 and all of the possible factors of 4.

Of the four possible rational roots you have shared, only ±2 (which would actually be ±2 / ±1) is acceptable.

4 0

3 years ago

Read 2 more answers

In the triangle below,<br> b =____.<br> If necessary, round your answer to two decimal places.

Anton [14]

90 degrees in a triangle pointB

5 0

3 years ago

PLEASE HELP!!! The formula F =9/5 C + 32 expresses Fahrenheit temperature in terms of Celsius temperature. Find the Celsius temp

mrs_skeptik [129]

Answer:

The Celsius temperature is 5° when the Fahrenheit temperature is 41°.

Step-by-step explanation:

Given that:

F = $\frac{9}{5}$ C + 32

Where,

F represents the temperature in Fahrenheit

C represents the temperature in Celsius

For calculating Celsius temperature from 41° Fahrenheit, we will put F=41 in given equation

$41=\frac{9}{5}C+32$

Subtracting 32 from both sides

$41-32=\frac{9}{5}C+32-32\\9=\frac{9}{5}C$

Multiplying both sides by 5/9

$\frac{5}{9}*9=\frac{5}{9}*\frac{9}{5}C\\5=C\\$

C = 5°

Hence,

The Celsius temperature is 5° when the Fahrenheit temperature is 41°.

6 0

3 years ago