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dolphi86 [110]
3 years ago
10

Mary, Rafael, and Goran sent a total of 119 text messages over their cell phones during the weekend. Goran sent 3 times as many

messages as Mary. Mary sent 6 more messages than Rafael. How many messages did they each send?
Mathematics
1 answer:
ryzh [129]3 years ago
5 0
M + R + G = 119
G = 3M
M = R + 6 —> R = M - 6

1st equation: M + (M-6) + (3M) = 119
5M -6 = 119
5M = 125

M = 25
G = 3(25) = 75
R = (25) -6 = 19
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Shannon is 3 years older than Jenny. The sum of their ages is 33. How old are Shannon and Jenny?
Olin [163]

Answer: Shannon is 18 and Jenny is 15. Because 18+15=33

Step-by-step explanation:

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13. A quadratic function passes through the points (0,5), (2,3), and (3,5). Which
muminat

Answer:

B

Step-by-step explanation:

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Larry is building a frame around a rectangular picture. He will need 42 inches of wood to do the entire frame. If the frame is 1
Anton [14]

The width would be 9 inches. Here's how I got the answer:

Double 12

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8 0
2 years ago
a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times
diamong [38]

<em>Answer:</em>

<em>The perimeter of the larger square is 150cm.</em>

<em>Step-by-step explanation:</em>

<em>First of all, let one part of it be "x"</em>

<em>and the other part of it "200-x"</em>

<em>Now to solve this :</em>

<em>The area of the square = L^2</em>

<em>The area of one part of the square = x^2</em>

<em>The area of the other part of the square = (200-x)^2</em>

<em>9x^2= (200-x)^2\\9x^2=40000-400x+x^2</em>

<em></em>

<em>Now, add, -4x^2 to both the sides :</em>

<em>9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0</em>

<em />

<em>Now, take out the "8" which is common :</em>

<em>-8(x^2+50x-5000)=0</em>

<em></em>

<em>Now, divide it by -8 :</em>

<em>x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\</em>

<em>x=-100 or 50</em>

<em />

<em>So, now we know that :</em>

<em>One of the part is = 50cm</em>

<em>And the other part is = 150cm</em>

<em />

<em>Thus the perimeter of the larger square is = 150cm</em>

3 0
3 years ago
4(3x^2y^4)^3 / (2x^3y^5)^4
tatyana61 [14]

Solving the expressions  \frac{4(3x^2y^4)^3}{(2x^3y^5)^4} we get \frac{27}{4x^{6}y^{8}}

Step-by-step explanation:

We need to Solve the expression: \frac{4(3x^2y^4)^3}{(2x^3y^5)^4}

Solving:

\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}

=\frac{4(3^3x^6y^{12})}{(2^4x^{12}y^{20})}\\=\frac{4(27x^6y^{12})}{(16x^{12}y^{20})}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}

Applying exponent rule: \frac{x^a}{x^b}=x^{a-b}

=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{27x^{-6}y^{-8}}{4}

Another exponent rule says: x^{-a}=\frac{1}{x^a}=

=\frac{27}{4x^{6}y^{8}}

So, solving the expressions  \frac{4(3x^2y^4)^3}{(2x^3y^5)^4} we get \frac{27}{4x^{6}y^{8}}

Keywords: Solving Exponents  

Learn more about Solving Exponents at:

  • brainly.com/question/13174260
  • brainly.com/question/13174254
  • brainly.com/question/13174259

#learnwithBrainly

8 0
3 years ago
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