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3 years ago

Consider the line y=5x-4.

Mathematics

1 answer:

Bezzdna [24]3 years ago

3 0

Answer:

Parallel= y-5x-3

perpendicular=y=5x

Step-by-step explanation:

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Please see attachment and SHOW WORK. Thank You. Will mark brainliest!!

Fofino [41]

a. Let c and b represent the numbers of capped and broken bottles, respectively. Here is the system of equations.

... c + b = 15 . . . . 15 bottles have come Erica's way

... 4c -2b = 6 . . . .Erica's net pay for the day is 6 cents

b. By substitution, we can write an expression for b in terms of c:

... b = 15 - c

Then put it into the second equation:

... 4c - 2(15-c) = 6

... 6c - 30 = 6 . . . . eliminate parentheses

... 6c = 36 . . . . . . .add 30

... c = 6 . . . . . . . . . divide by 6

... b = 15 - 6 = 9 . . find the value of b

Erica has capped 6 bottles and broken 9.

_____

Here's one way to do it by elimination. We can divide the second equation by 2 to put it into standard form:

... 2c - b = 3

Now, adding it to the first equation gives

... (2c -b) + (c +b) = (3) + (15)

... 3c = 18 . . . . . simplify. Notice the b variable has been eliminated

... c = 6 . . . . . . . divide by 3

... 6 + b = 15

... b = 9 . . . . . . substitute into the first equation and solve for b by subtracting 6

Erica has capped 6 bottles and broken 9. (same solution as above)

4 0

3 years ago

PLEASE HELP MEEE! DON'JOKING PLEASEEE!

patriot [66]

Answer:

24 Cats.

Step-by-step explanation:

You can set up an inequality of 21/18 and 28/x.

Multiply 18 and 28, you get 504. Divide 504 by 21 and you get your answer of 24.

3 0

3 years ago

Read 2 more answers

(PLESE HELP) Factor the following expression. Simplify your answer.

mars1129 [50]

The factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

To answer the question, we need to know what factorization is

<h3>What is factorization?</h3>

Factorization is the process of breaking down an expressing into a simpler form containing its factors.

Since

$5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$

Since $(p + 2)^{\frac{1}{3} }$ is common, we factor it out. So, we have

$(p + 2)^{\frac{2}{3} } (5p(p + 2)^{2} + 4)$

Expanding the bracket, we have

$(p + 2)^{\frac{2}{3} } (5p(p^{2} + 2p + 4) + 4) = (p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

So, the factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

Learn more about factorization here:

brainly.com/question/11579257

#SPJ1

8 0

2 years ago

Drag numbers to the table so it shows a proportional relationship between x and y.

Yakvenalex [24]

Answer:

the second box for y is 9

the third box for x is 2.5

im not sure about the third box for y

8 0

2 years ago

Stan's, marks, and wayne's ages are consecutive whole numbers. stan is the youngest, and wayne is the oldest. the sum of their a

White raven [17]

Stan's, Mark's and Wayne's ages are 35 , 36 and 37 years respectively.

<em><u>Explanation</u></em>

Stan's, Mark's and Wayne's ages are <u>consecutive whole numbers</u> and Stan is the youngest and Wayne is the oldest.

So, lets assume that Stan's, Mark's and Wayne's ages are $n, n+1$ and $n+2$

Given that, the sum of their ages is 108. So, the equation will be.....

$n+(n+1)+(n+2)=108\\ \\ 3n+3=108\\ \\ 3n=108-3=105\\ \\ n=\frac{105}{3}=35$

So, Stan's age is 35 years , Mark's age is (35+1)= 36 years and Wayne's age is (35+2)= 37 years.

4 0

3 years ago