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dmitriy555 [2]
3 years ago
8

A plane flew 145km/h faster when it was flying with the wind than it would have flown with still air, if it's speed with the win

d was 970km/h, find the speed of the plane in still air
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Answer:

Speed of plane in still air is 825 km/h

Step-by-step explanation:

Given:

Speed of plane with the wind is 145 km/h faster than what it would have with still air.

Speed of plane with wind = 970 km/h

To find speed of plane in still air.

Solution:

Let speed of plane in still air be = x\ km/hr

So The speed of plane with wind would be given as = x+145\ km/hr

Now Given:

Speed of plane with wind is given =970 km/h

So, we have:

x+145 =970

Now Solving for "x" we get

Subtracting both sides by 145.

x+145-145=970-145\\\\x=825

Hence, speed of plane in still air is 825 km/h

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A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile . The height of the
SIZIF [17.4K]

Answer:

12.5 in²

Step-by-step explanation:

Given:

Height of tile = 2.5 in

Base of tile = 2*height of tile = 2*2.5 = 5 in

Length of other side of tile = 2.5 in

Required:

Area of the tile

SOLUTION:

Area of the tile = area of parallelogram

All we need to calculate the area of the tile, is the base and the height.

Area of parallelogram = base × height

Area of tile = 5 × 2.5 = 12.5 in²

5 0
3 years ago
Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans
Valentin [98]

Answer:

1.   2r+1.6b=10

2.  r=5-0.8b

3.  b=6.25-1.25r

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

2r

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

1.6b

Knowing that she spends $10, you can write the following equation:

2r+1.6b=10

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r

7 0
3 years ago
Find the value of :​
beks73 [17]

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

  • Attachment - 1: Solution (i)
  • Attachment - 2: Solution (ii)

7 0
2 years ago
A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compou
SIZIF [17.4K]

Answer:

Option D

Step-by-step explanation:

The compounded interes formula states that:

V(t) = P (1 + r/n)^ (nt)

t = years since initial deposit  = 3

n = number of times compounded per year  1

r = annual interest rate (as a decimal)  = 4% / 100 = 0.04

P = initial (principal) investment = $500

Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43

So the correct answer is option D.

4 0
4 years ago
Read 2 more answers
What is the discriminant of 3x2 6x = 2? 12 18 42 60
IceJOKER [234]
3x^2 + 6x - 2 = 0
discriminant = b^2 - 4ac; where a = 3, b = 6 and c = -2
d = 6^2 - 4(3)(-2)
d = 36 + 24
d = 60
4 0
4 years ago
Read 2 more answers
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