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8_murik_8 [283]
3 years ago
13

The sum of 3y and 5 is 47

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

if 3y + 5 = 47

then

y=14

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Pigeon Hole Principle :
yaroslaw [1]

Answer:

A proof can be as follows:

Step-by-step explanation:

Let S=\{a_{1},a_{2},...,a_{n},a_{n+1}\} be a set of n+1 integers. By the division algorithm the possible remainders when we divide by n are 0,1,2,....,n-1. Then, each integer a_{i}\in S can be written as:

a_{i}=np_{i}+r_{i},\,\,0\leq r_{i}

Observe that the set of remainders \{r_{1},r_{2},...,r_{n+1}\} has n+1 elements and each element has n possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are a_{i}, a_{j}. Then,

\begin{array}{c}a_{i}=np_{i}+r\\a_{j}=np_{j}+r\end{array}

Where r_{i}=r_{j}=r. Then,  a_{i}-a_{j}=np_{i}-np_{i}=n(p_{i}-p_{j}). Then we have that n divides a_{i}-a_{j}.

5 0
3 years ago
Please help im lost..
Hatshy [7]

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c

Step-by-step explanation:

3 0
2 years ago
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where
nekit [7.7K]

Answer:

XY = 18

Step-by-step explanation:

Given

ABC:AXY = 4 : 3

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Required

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BC : XY = 24 : xy

Recall that:

ABC:AXY = 4 : 3

Equate both ratios;

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Convert to fractions

\frac{24}{xy} = \frac{4}{3}

Cross Multiply

xy * 4 = 24 * 3

xy * 4 = 72

Divide through by 3

xy * 4/4 = 72/4

xy = 18

Hence:

XY = 18

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1/2(2-4x)+2x=13<br><br> What is x I need a step by step
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x=3

Step-by-step explanation:

1/2(2-4x)+2x=13

1-2x+2x=13

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x=12/4

x=3

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3 years ago
8. Mary and Todd went on a bike trip. The first day they biked 17 miles, and the second
Georgia [21]

Answer:

They traveled 72 miles in all.

Step-by-step explanation:

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2 years ago
Read 2 more answers
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