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mamaluj [8]
2 years ago
15

A government buys `x`fighter planes at `z` dollars each, and `y` tons of wheat at w dollars each. It spends a total of `B`dollar

s, where `B=xz+yw`. Write an equation whose solution is the given quantity:
2. The price of a ton of wheat, given that a fighter plane costs 100,000 times as much as a ton of wheat, and that the government bought 20 fighter planes and 15,000 tons of wheat for a total cost of $90 million.
Mathematics
1 answer:
Veronika [31]2 years ago
6 0

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

<h3>Equation</h3>

B = xz + yw

Where,

  • B = Total cost = 90
  • x = number of fighter plane = 20
  • y = tons of wheat = 15,000
  • w = cost of each tons of wheat
  • z = cost of fighter plane
  • z = 100,000w

B = xz + yw

90,000,000 = (20 × 100,000w) + (15,000 × w)

90,000,000 = 2,000,000w + 15,000w

90,000,000 = 2,015,000w

w = 90,000,000 / 2,015,000

= 44.6650124069478

Approximately,

w = $44.67

Learn more about equation:

brainly.com/question/2972832

#SPJ1

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Gala2k [10]
13 - 5 5/6
= 12 6/6 - 5 5/6
= 7 1/6

hope it helps
7 0
3 years ago
two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o
satela [25.4K]
We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
<span>Marco runs at a rate of 6 miles per hour. 
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)

Alternative Method
Let 
x---------> Fernando's distance when Marco is 0.3 miles apart

</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1

</span>Marco runs at a rate of 6 miles per hour. 
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
 7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour
6 0
3 years ago
A cylinder has radius 2.5 cm and lateral area 20 pi cm^2. What is the surface area of the cylinder in terms of pi?
Novosadov [1.4K]
This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2

4 0
3 years ago
I am the number of red tiles in a design with red and blue tiles. The red tiles each have 3 sides. The blue tiles each have 5 si
nekit [7.7K]
If each blue tile has 5 sides and you know you have 3 blue tiles you can multiply 5 by 3
5 x 3 = 15 sides


Next you know the total number of sides is 30 and you just figured out that your 3 blue tiles have a total of 15 sides so you can subtract 15 from 30 to find how many sides are left
30 - 15 = 15sides

Since you know that these are not blue tiles because in the question it stated that you have 3 blue tiles. These have to be sides for red tiles.

Each red tile have 3 sides so you can divide 15 by 3
15/3 = 5

There are 5 red tiles
You are the number 5


8 0
2 years ago
Good morning!
Assoli18 [71]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 2) The integral of a constant follows this rule:

adx = ax

In this case, it is 1dx = 1x

This can be simplified to just x

Add a constant to this, to get the final answer of:

x + C

3) The integrals power rule is:

x^adx = \frac{x^a^+^1}{a +1}

Substitute the values in:

\frac{x^5^+^1}{5 +1}

This can be simplified to:

\frac{x^{6} }{6}

Add a constant to this to get the final answer of:

\frac{x^{6} }{6} +C

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
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