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3 years ago

6x - 5y = 15 2 = y +3 X= Y=

Mathematics

2 answers:

saul85 [17]3 years ago

7 0

Answer:

Point Form:

(0,−3)

Equation Form:

x=0,y=−3

Leona [35]3 years ago

4 0

Answer: Y=-1

Step-by-step explanation: Hope this helps The picture is for X=

-Lily ^_^

Plzz mark brainliest

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How many distinct permutations can be formed using the letters of the word prepared

Troyanec [42]

Answer:

5,040

Step-by-step explanation:

Hmmm...this one is a bit tricky. First, prepared contains 8 letters. To find the number of ways this can be rearranged use the fundamental counting principle.

First letter - 8 choices

Second letter - 7 choices

Third letter - 6 choices

So the number of outcomes would be $8! = (8)(7)(6)(5)(4)(3)(2)(1)=40,320$

But wait, there's more. Prepared has some duplicate letters, the P, R, and E. That means if the letters were written ppeerrad it would be indistinguishable if it was the first or second P written first. So that means the letter P generates 2 outcomes that appear the same

$\frac{40,320}{2}=20,160$

Same for the letter R

$\frac{20,160}{2}=10,080$

And same for the letter E

$\frac{10,080}{2}=5,040$

5 0

3 years ago

one mechanic can do a certain job in 4 days, a second mechanic in 6 days, and a third in 8 days. in what time can the three toge

Phantasy [73]

Now the first mechanic takes 4 days to do the job, so after he has worked for 1 day only, he has done 1/4 of the whole thing.

the second mechanic can do it in 6 days, so after 1 day only of work, he has done 1/6 of the whole thing.

the third mechanic can do it in 8 days, so after a day, he has done 1/8 of the total work.

now, if they all three work together, after 1 hour has gone by, the first mechanic has done 1/4 of the whole thing, the second mechanic has done 1/6 of it, and the last one, has done 1/8.

let's say it took all three working together "t" days, that means after 1 hour of work, they all combined have done 1/t of the whole thing, thus

$\bf \stackrel{first~mechanic}{\cfrac{1}{4}}~+~\stackrel{second~mechanic}{\cfrac{1}{6}}~+~\stackrel{third~mechanic}{\cfrac{1}{8}}~=~\stackrel{total~work}{\cfrac{1}{t}}\\\\
-------------------------------\\\\
\textit{let's use our LCD of 24 on the left-hand-side}
\\\\\\
\cfrac{6~+~4~+~3}{24}=\cfrac{1}{t}\implies \cfrac{13}{24}=\cfrac{1}{t}\implies t=\cfrac{24}{13}\implies \stackrel{\textit{1day, 20hrs, 18mins}}{t=1\frac{11}{13}}$

8 0

4 years ago

A rectangle has a height of k^2+3k 2 +3k, squared, plus, 3 and a width of k^2+7k 2 +7k, squared, plus, 7. Express the area of th

vlada-n [284]

Answer: $k^4+10k^3+21k^2$

Step-by-step explanation:

Given

Height of rectangle is $h=k^2+3k$

Width is $w=k^2+7k$

The area of the rectangle is given by the multiplication of the height and width

$\Rightarrow A=\left(k^2+3k\right)\left(k^2+7k\right)\\\\\Rightarrow A=k^2k^2+k^2\cdot \:7k+3kk^2+3k\cdot \:7k\\\\\Rightarrow A=k^4+10k^3+21k^2$

Thus, the area of the rectangle is $k^4+10k^3+21k^2$ .

3 0

3 years ago

Can somebody solve these 2 probelms for me with work?

mel-nik [20]

Answer:

Sorry I am in class latet

Step-by-step explanation:

LIVE AND LET me know if you want me to send you

3 0

3 years ago

the ratio of the number of goat to the number of sheep is 3:1. The sheep are 10 in numbers. how many goats are in the gardens an

ValentinkaMS [17]

Answer:

30 goats, and 40 animals

Step-by-step explanation:

so since the problem says 10 goats are in the garden, and the ratio of sheep to goats is 3:1 you do 3*10. it's basically saying for every 1 goat you have 3 sheep. so if you take away the 0 from 30 and 10 you get 3:1. : )

8 0

3 years ago