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Anuta_ua [19.1K]
3 years ago
7

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500,

find the numbers
Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500

x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.

We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
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Four glasses of milk and 2 snack bars have a total of 72 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a t
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One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72   Eqn 1

2x+3y=64   Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3

Subtracting Eqn 1 from Eqn 3

(4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56

Dividing both sides by 4

\frac{4y}{4}=\frac{56}{4}\\y=14

Putting y=14 in Eqn 1

4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44

Dividing both sides by 4

\frac{4x}{4}=\frac{44}{4}\\x=11

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

#LearnwithBrainly

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3 years ago
Solve by completing the square:
laiz [17]
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The cartesian coordinates of a point are given. (a) (2, −2) (i) find polar coordinates (r, θ) of the point, where r &gt; 0 and 0
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3 years ago
train traveling with 100 cars all cars are exact size. the cars are 20 ft long 10ft wide and 10ft tall. how much available volum
jeyben [28]

Find the volume of 1 car by multiplying the length by the width by the height:

Volume of 1 car = 20 x 10 x 10 = 2000 cubic feet.


Now multiply the volume of 1 car by the total number of cars:

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4 years ago
~ P L E A S E ~ H E L P ~ M E ~ O U T ~
DerKrebs [107]
Formula for area of a circle: Pi * R^2.
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Radius = 16m/2
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Formula and equation:
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= Pi * 64m2
= 201.0 m2.
So, in conclusion, the answer to this question is C)64 * Pi * m^2.
7 0
3 years ago
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