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liraira [26]
3 years ago
5

The sum of three consecutive odd integers is 17 less than four times the smallest integer

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

x = smallest \: int \\ x + (x + 2) + (x + 4) = 4x - 17 \\ 3x + 6 = 4x - 17 \\ 23 = x \\ numbers = 23 \: 25 \: 27
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Add 49 to the quotient of 125 and 5
lakkis [162]

Answer is:

125/5+49

=74

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3 years ago
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Eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
sesenic [268]
The answer is 45 I believe.
3 0
3 years ago
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Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than
guajiro [1.7K]

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

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112 = s

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s + 13 = 125 km/hr

3 0
2 years ago
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
Elodia [21]

Step-by-step explanation:

❁ \underline{ \underline{ \text{Given} }}:

  • Mass of a large rock ( m ) = 4.0 kg
  • Velocity ( v ) = 2.0 m/s

❁ \underline{ \underline{ \text{ \: To \: find}}}:

  • Momentum ( p )

✑ \underline{ \underline{ \text{Solution}}} :

\boxed{ \underline{ \sf{Momentum \:  =  \: mass \:  \times  \: velocity}}}

plug the known values :

⟹ \sf{Momentum = 4.0 \: kg \:  \times  \: 2.0 \:m/s }

⟹ \sf{Momentum = 8 \: kg \: m/s}

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer :   \bold{ \underline{8} }\: kg*m/s}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ \underline{ \underline{ \text{Learn \: more about \: momentum}}}:

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0
3 years ago
I NEED HELP QUICK ASAP!
kramer
Triangle 1 area : 6×4 /2 -> 24/2 -> 12
triangle 2 area : 9×8 /2 -> 72/2 -> 36
rectangle 1 area : 6×4 -> 24
rectangle 2 area : 15×4 -> 60
12+36+24+60
48+24+60
72+60
132
8 0
3 years ago
Read 2 more answers
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