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Masja [62]
2 years ago
11

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs

5000 pounds on Planet​ A, find the​ elephant's weight on Planet B.
Mathematics
2 answers:
svp [43]2 years ago
5 0

Answer:

one way to solve this question is to realize that every 100 pounds on planet A equals only 3 pounds on planet B.

 

So, 5000 pounds divided by 100 = 50. Then that number times 3 will give the weigh on planet B which is 150 pounds.

 

Algebraically, 100/3 = 5000/x; when we cross multiply, we get 15000/3 = x; x = 150

stiks02 [169]2 years ago
4 0
150. Divide 5000 by 100 and you get 50. Multiply 3 by 50 and you get 150.
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Solving Rational equations. LCD method. Show work. Image attached.
Ugo [173]

Answer:

k=\frac{1}{2}

Step-by-step explanation:

The given rational equation is

\frac{5k}{k+2}+\frac{2}{k}=5

The Least Common Denominator is

k(k+2)

Multiply each term by the LCD.

k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)

Simplify;

k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)

\Rightarrow k(5k)+2(k+2)=5k(k+2)

Expand;

\Rightarrow 5k^2+2k+4=5k^2+10k

Group similar terms;

\Rightarrow 5k^2-5k^2+2k-10k=-4

\Rightarrow -8k=-4

Divide by -8.

k=\frac{1}{2}

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2 years ago
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Iteru [2.4K]
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7 0
3 years ago
Which of these phrases contain a variable? Check all that apply.
kaheart [24]

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The length of the hall way

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4 0
3 years ago
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The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb
Zigmanuir [339]

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

4 0
2 years ago
Nolan and his children went into a grocery store and he bought $8 worth of apples
goldfiish [28.3K]

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

brainly.com/question/14951851

8 0
3 years ago
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