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IgorC [24]
2 years ago
13

For Camila's lemonade recipe, 3 lemons are required to make 5 cups of lemonade. Fill out a table of equivalent ratios.

Mathematics
1 answer:
Talja [164]2 years ago
7 0

Answer:

27  |1|

|2| 50

this is your correct answer

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32 is 40% of what number? Enter your answer in the box.
Whitepunk [10]
32 is 40% of 80...…....
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3 years ago
Read 2 more answers
Match each series with the equivalent series written in sigma notation
PIT_PIT [208]

Answer:

3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n

4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n

2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n

3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

3 + 12 + 48 + 192 + 768

The expression can be written as:

3 \to 3*4^{0 --- 0

12 \to 3 * 4^{1 ---- 1

48 \to 3 * 4^{2 --- 2

192 \to 3 * 4^{3 ---- 3

768 \to 3 * 4^{4 ---- 4

For the nth term, the expression is:

Term = 3 * 4^{n ---- n

So, the summation is:

3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n

Solving (b):

4 + 32 + 256 + 2048 + 16384

The expression can be written as:

4 \to 4 * 8^0 --- 0

32 \to 4 * 8^1 ---- 1

256 \to 4 * 8^2 --- 2

2048 \to 4 * 8^3 ---- 3

16384 \to 4 * 8^4 ---- 4

For the nth term, the expression is:

Term \to 4 * 8^n ---- n

So, the summation is:

4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n

Solving (c):

2 + 6 + 18 + 54 + 162

The expression can be written as:

2 \to 2 * 3^0 --- 0

6 \to 2 * 3^1 ---- 1

18 \to 2 * 3^2 --- 2

54 \to 2 * 3^3 ---- 3

162 \to 2 * 3^4 ---- 4

For the nth term, the expression is:

Term \to 2 * 3^n ---- n

So, the summation is:

2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n

Solving (d):

3 + 15 + 75 + 375 + 1875

The expression can be written as:

3 \to 3 * 5^0 --- 0

15 \to 3 * 5^1 ---- 1

75 \to 3 * 5^2 --- 2

375 \to 3 * 5^3 ---- 3

1875 \to 3 * 5^4 ---- 4

For the nth term, the expression is:

Term \to 3 * 5^n ---- n

So, the summation is:

3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n

5 0
2 years ago
Last math question. 6th grade math
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Hope that helps you sorry if it doesn't.

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How do you find the x?
AnnyKZ [126]
There are 180 degrees total in a triangle and the tell you one angle is 90. So you solve the equation 4x+6x=90. So x=9
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What is the midpoint of the line segment with endpoints (–5.5, –6.1) and (–0.5, 9.1)?
astraxan [27]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-5.5}~,~\stackrel{y_1}{-6.1})\qquad 
(\stackrel{x_2}{-0.5}~,~\stackrel{y_2}{9.1})
\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{-0.5-5.5}{2}~~,~~\cfrac{9.1-6.1}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{3}{2} \right)\implies \left(-3~,~1\frac{1}{2}  \right)
5 0
3 years ago
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