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dangina [55]
1 year ago
14

Katherine is younger than Alexandra. Their ages are consecutive integers.

Mathematics
1 answer:
Serjik [45]1 year ago
7 0

Using equations to solve the word problem, Katherine's age is 8 years

<h3>Word Problem</h3>

Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.

To solve this problem, we have to represent the problem using mathematical equations;

Let;

Katherine's age = x²

Alexandra = 5(x + 1)

Sum of their age = 109

5(x + 1) + x² = 109

5x + 5 + x² = 109

x² + 5x - 104 = 0

Solving for the equation; x = 8

Katherine's age is 8

Learn more on word problem here;

brainly.com/question/13818690

#SPJ1

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nekit [7.7K]

The second option is the correct answer

16x^{4}+40x^{3} -24x^{2}

The expression given to us is:

8x^{2} (5x+2x^{2}-3 )

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}

40x^{3} +16x^{4}-24x^{2}

Rearranging the above expression in descending order of power we get:

16x^{4}+40x^{3} -24x^{2}

From the given options we can see this is the second option. Hence the second option is the correct answer.

Learn more about equation here brainly.com/question/14180340

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2 years ago
(GIVING BRAINLIEST)Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore the town.
erma4kov [3.2K]

Answer:

36+4h=60

36+4h-36=60-36

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4h÷4=24÷4

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Step-by-step explanation:

4 0
3 years ago
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vovangra [49]

Answer:

Tom weighs 70 pounds

Step-by-step explanation:

first, you have to set up your equation which would be, x + 3x = 280.

The x stands for Tom's weight and the 3x stands for three times Tom's weight for the dad. You would then add your like terms, then divide by 4 to get 70.

x + 3x = 280

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Hope this helps!

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Answer:

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Step-by-step explanation:

7(x)=175

x=25

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Step-by-step explanation:

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