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Dmitry_Shevchenko [17]
3 years ago
8

stefan is three years younger than his sister katie. The sum of Stefans age three years ago and 2/3 of katies age at that time i

s 12.How old is Katie now. Show your work
Mathematics
2 answers:
sammy [17]3 years ago
3 0

If x is the age of S

And y is the age of K

So we have x=y+3

And the second equation is x-3 + 2/3)y = 12

We have to solve the system

x-y=3

x+2/3y=15

we find x=10.2 and y=7.2

<span>so Katie is 7 </span>

sergejj [24]3 years ago
3 0
Katie's age be k, then staefan's age = k - 3
(k - 3) - 3 + 2/3(k - 3) = 12
k - 6 + 2/3k - 2 = 12
5/3k - 8 = 12
5/3k = 12 + 8 = 20
k = (20 x 3) / 5 = 60/5 = 12 years.

Therefore, katie's age is 12 years old.
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Jobisdone [24]

Answer:

387 km

Step-by-step explanation:

The length of AC, b can be obtained using the cosine rule ; using the cosine relation:

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b² = 250² + 185² - 2(250*185) Cos125

b² = 62500 + 34225 - 92500 * −0.573576

b² = 96725 + 53055.820

b² = 149780.82

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b = 387.01527

b = 387 km (nearest whole number)

5 0
3 years ago
I don’t really get this question so if anyone knows it please help
Mars2501 [29]

Answer:

116.82\:\text{square inches}

Step-by-step explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is 10^2=100\:\mathrm{in^2}.

The area of a triangle is given by \frac{1}{2}\cdot b\cdot h. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be 2.9 and intersect at a 90^{\circ} angle.

Thus, the sum of all four triangles is \frac{1}{2}\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}.

Therefore, the area of the window is:

100+16.82=\boxed{116.82\:\mathrm{in^2}}

3 0
3 years ago
Please answer 60....I don't understand
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So you basically just add up all of the numbers for the number sentence, so:
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7 0
3 years ago
Find the roots of the quadratic equation w+w²/3=0​
Daniel [21]

I assume that the equation you mean is below:

\large \boxed{w +  \frac{ {w}^{2} }{3}  = 0}

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

\large{w(3) +  \frac{ {w}^{2} }{3} (3) = 0(3)} \\  \large{3w +  {w}^{2}  = 0}

Factor w-term out (common factor)

\large{w(3 + w) = 0} \\  \large{w = 0 \:  \:  \:  or \:  \:  \: 3 + w = 0} \\  \large{w = 0, - 3}

Answer

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