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3 years ago

How many solutions for x does the following equation have? 3(x + 8) − 1 = 3x + 4

Mathematics

2 answers:

Alja [10]3 years ago

4 0

Answer:

none

Step-by-step explanation:

distribute the left side

3x+24-1=3x+4

simplify

3x+23=3x+4

23=4

this is never true, therefore there are no solutions

EastWind [94]3 years ago

4 0

Answer:

None

Step-by-step explanation:

3(x + 8) − 1 = 3x + 4

Distribute

3x + 24 - 1 = 3x + 4

3x + 23 = 3x + 4

Subtract 3x from both sides

23 = 4.....False

No Solution

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3 years ago

Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade. Mrs. Benson has how many math assignmen

timofeeve [1]

Mrs. Benson has 184 math assignments left to grade.

<u>Step-by-step explanation:</u>

Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:

Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.

⇒ $x = 46+\frac{80x}{100}$

⇒ $x -\frac{80x}{100}= 46$

⇒ $\frac{100x-80x}{100}= 46$

⇒ $\frac{20x}{100}= 46$

⇒ $\frac{x}{5}= 46$

⇒ $x=230$

Now , Assignments left to grade is :

⇒ $230-46$

⇒ $184$

Therefore , Mrs. Benson has 184 math assignments left to grade.

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3 years ago