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8_murik_8 [283]

3 years ago

13

The sum of 3y and 5 is 47

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]

Answer:

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

$ABC:AXY = 4 : 3$

$BC = 24$

Required

Find XY

Represent BC and XY as a ratio;

$BC : XY = 24 : xy$

Recall that:

$ABC:AXY = 4 : 3$

Equate both ratios;

$24 : xy = 4 : 3$

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:

$XY = 18$

3 0

2 years ago

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

Ilya [14]

Answer:

x=3

Step-by-step explanation:

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

1-2x+2x=13

4x=13-1

x=12/4

x=3

3 0

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:

6 0

2 years ago

Read 2 more answers