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evablogger [386]
3 years ago
5

The speed of a sparrow is x km/h in still air. When the

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km  (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

or

x = 5 (answer)

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Karo-lina-s [1.5K]

you basically have to times it by 3 so

2:7

4:14

6:21

the answer would be 6 tablespoons of sugar to 21 tablespoons of flour

3 0
3 years ago
Read 2 more answers
1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to
givi [52]

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = \frac{216}{12} = 18 ft

360 inches = \frac{360}{12} = 30 ft

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: \frac{540}{2.5} = 216 people

6 0
3 years ago
Constant of proportionality y = 1/4 x
Dovator [93]

Answer:

The constant of proportionality is 1/4.

Step-by-step explanation:

4 0
2 years ago
Simplify:<br> 2 11/12 + 5 1/2 + 3 3/8<br> Write you answer as a mixed number.
zysi [14]

Answer:

2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8} (write them out and convert them all into mixed fractions)

\frac{35}{12} + \frac{11}{2} + \frac{27}{8} (find the LCD aka least common denominator)

\frac{70}{24} + \frac{132}{24}  + \frac{81}{24} (add all numerators together)

\frac{283}{24}  (this is improper, so you need to convert back to mixed by dividing)

11\frac{19}{24} (this is your answer)

3 0
3 years ago
Are the point (-1, 1) and (3, 1/5) solutions to the equation 3x-5y=8
Sati [7]
The (3, 1/5) would be a solution while the (-1,1) wouldn’t because when you write this equation in the slope intercept form which is y = 3/5x - 8/5

1/5 = 3/5 (3) - 8/5

would end up with 1/5 = 1/5 which is write

While,

1 = 3/5 (-1) - 8/5

Would end up with
1 = 11/5 which is wrong



5 0
3 years ago
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