Is 9 a solution to 3y<27

Answers

Answer 1

Answer:

No, because if y is in fact 9 then the expression $3y<27$ evaluates to $27<27$ which is a false hence y cannot be 9 but rather $y\in(-\infty,9)$ .

Hope this helps.

Answer 2

Answer: Answer: No

Step 1: Rewrite the equation

3y<27

Step 2: Get y alone

To do this we need to divide both 3y and 27 by 3

3y<27

3y/3<27/3

y=9

Step 3: Substitution

We now know that y equals 9. Now let’s substitute this into the equation

3y<27

3(9)<27

27<27

Step 4: Determining the answer

Since 27 is not less than (27), 9 is not the solution for y. However, any number less than 9 would work for this equation

Hope this helps comment below for more questions :)

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Heidi must correctly answer at least 80% of the questions on an exam to advance to the nextlevel in her online course. Heidi has already correctly answered 26 questions and incorrectly
answered 4 questions. How many of the 15 questions remaining must Heidi correctly answer
to advance to the next level?
A. at least 10
B. at least 11
C. at least 12
D. at least 13

Answers

Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15

Total questions = 26 + 4 + 15 = 45

45 * 80% = 36 required correctly answered questions.

36 - 26 = 10

Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.

(0,1),(1,3),(2,5),(3,7) function rule

Answers

$\bf \begin{array}{ccll}x&y\n\cline{1-2}0&1\n[0.8em]1&\stackrel{2(1)+1}{3}\n[0.8em]2&\stackrel{2(2)+1}{5}\n[0.8em]3&\stackrel{2(3)+1}{7}\n[0.8em]x&2x+1\end{array}~\hspace{8em}y=2x+1$

two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.

Answers

Solution:

You need minimum of two lines which are parallel or coincident to represent proportional relationship.

Suppose two lines in one dimensional plane is Coincident.These lines are represented by a and b. Then to represent proportional relationship between them ,we can write it as follows

a = K b

or, b= Ta, where K and T are proportionality constant.

→→Line in two dimensional coordinate plane, which passes through origin or are Coincident, represents proportional relationship.

1. 2 x + 3 y= 5

2. 4 x + 6 y =10

Line 2 = 2 × Line 1

2. y= k x is equation of any line passing through origin, where k is constant of proportionality between x coordinate and y coordinate.

It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.

The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)

The surface area for a rectangular prism with a square base is given by the expression. 2s2+4sh, where side s is side length of the