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Andrei [34K]
3 years ago
7

kins age is twice that of her sister when you add kims age to her sisters you get 24 how old is each sister (a)write a equation

that represents the sitituation.explain any varible (b)slove the equation from part (a) show your work.state your solution as a complete sentance
Mathematics
2 answers:
zimovet [89]3 years ago
8 0

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it. 

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

Please give Brainliest!

sasho [114]3 years ago
7 0

Answer:

Kim's age is 16 and her sister's age is 8.

Step-by-step explanation:

(a) If Kim's age is 2x then  her sisters age is x years.

Also x + 2x = 24.

The equation is 3x = 24.

b) Solving 3x = 24 gives x = 8  and 2x = 16.

So Kim's age is 16 and her sister's age is 8.

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Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.<br>​
sp2606 [1]

Answer:

\large\boxed{f(x)+(x-3)^2-7}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7

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3 years ago
Subtract this problem
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6 0
2 years ago
0.2x + (-0.9) + 1.7 = 9.6<br> 0.2x + 0.8 = 9.6
user100 [1]

Answer:44

Step-by-step explanation:

0.2x+(-0.9)+1.7==9.6

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3 years ago
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