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Deffense [45]
3 years ago
15

Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. He is trying to get to the point (5,7)

. However, at (2,3) there is a spider that will eat him if he goes through that point. In how many ways can Mack reach (5,7) ?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
<span>This is a very nice counting question. Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7). Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7). Hope this helps! :)</span>
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Can some one please help me
saw5 [17]

Basically, all you have to do is substitue the terms given at the top.

x = -3

y = 6

z = -4

<em>The first one will be set up like this:</em>

(-3) + 6 + (-1) = 2

<em>The second one will be set up like this: </em>

-15 + (- -3) + 6 = -6

<em>The third one will be set up like this:</em>

3(-3) - 2(6) + (-4) = -25

<em>The fourth one will be set up like this:</em>

2(-4) - 3 (6) + 4(-3) = -38

<em>The fifth one will be set up like this: </em>

3 ( -3) + 2 (6) + (-4) = -1

<em>The sixth will be set up like this: </em>

(-3)(-4)

---------- = -1

-2 (6)

<em>The seventh will be set up like this:</em>

2 (6) (-4) - 3 (-3) = -39

Hope this helps! Have a good day/night! c:

6 0
3 years ago
A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The su
maria [59]
Probability (rock) :

78 / 150 = 13/25 = 52%

Rock is preferred by 52% of the 150 visitors that were surveyed

To find how many people will likely sell from the rock genre, you need to find 52% of the estimated sales (6,000 copies).

      52% • 6000 = 3,120

Answer: C. 3,120
4 0
3 years ago
Read 2 more answers
TODAYTHIS WEEKCREDITS$Patricia was setting up a room with tables for an event. The room had9 maple tables, 10 poplar tables, 5 c
prohojiy [21]

As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.

Probability that the first person to enter the room will be randomly seated at a maple table:

P(maple)=\frac{#maple\text{ }tables}{#total\text{ }tables}

#maple tables: 9

# total tables: 9 +10 +5 +7=31

P(maple)=\frac{9}{31}Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31
3 0
9 months ago
4x - 3y = 12<br> 4x - 5y = -4<br> Solve using Elimination
mr_godi [17]

Answer:

{ \rm{4x - 3y = 12 -  -  -  \{eqn(a) \}}} \\ { \rm{4x - 5y =  - 4 -  -  -  \{eqn(b) \}}}

• subtract eqn(b) from eqn(a);

{ \underline{ \rm{  - \binom{4x - 3y = 12}{4x - 5y =  - 4} }}} \\ { \rm{0x + 2y = 16}} \\  \\ { \rm{2y = 16}} \\  \\ { \boxed{ \tt{ \:  \: y = 8 \:  \:   }}} \\

• find x :

{ \rm{4x - 3y = 12}} \\ { \rm{4x - 3(8) = 12}} \\ { \rm{4x = 36}} \\  \\ { \boxed{ \tt{ \:  \: x = 9 \:  \: }}}

8 0
2 years ago
Read 2 more answers
Find the slope of the line that passes through the points (0, -3) and (-4,1).
kozerog [31]

The formula for slope is \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

In this case:

y_{2} = 1\\ y_{1} }= -3\\x_{2} = -4\\x_{1} = 0

so...

\frac{1 - (-3)}{-4 - 0}

\frac{4}{-4}

-1 <<<The slope

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
3 years ago
Read 2 more answers
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