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3 years ago

Eugene had $24 to spend on three pencils.

Mathematics

2 answers:

TiliK225 [7]3 years ago

5 0

Each pencil costs $2

kifflom [539]3 years ago

5 0

Answer:

Step-by-step explanation:

Step 1: Subtract the amount he had left from the amount he had to spend. 24 - 18 is 6. That's the amount spent on pencils.

Step 2: Divide the amount spent on pencils by 3. 6/3 is 2. That's the total cost of each pencil.

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What is the product? [4 3 -1 -1] x [-3 1 -2 -2]

IrinaVladis [17]

Answer:

Option A

|-6 -2|

|1 1|

Step-by-step explanation:

This is a product of a matrix.

So for the first number on the first row, we have;

(4 × -3) - (3 × -2) = -12 + 6 = -6

For the second number on the first row, we have;

(4 × 1) - (3 × 2) = 4 - 6 = -2

For the first number on the second row, we have;

(-1 × -3) - (-1 ×-2) = 3 - 2 = 1

For the second number on the second row, we have;

(-1 × 1) - (-1 × 2) = -1 + 2 = 1

Thus, we now have;

|-6 -2|

|1 1|

7 0

2 years ago

Read 2 more answers

Which of the two is correct? Explain why, including pointing out any mistakes that were made.

Norma-Jean [14]

The correct way to solve this equation would be:
7=5+3(x-4)
Distribute the Brackets.
3*x=3x
3*4=12
7=5+3x-12
Add like terms.
7=-7+3x
Add 7 to both sides.
(7)+7=(-7+3x)+7
14=3x
Divide both sides by 3.
(14)/3=(3x)/3
4.6667 or 14/3 =x

Both answers are incorrect.
Some the significant mistakes:
-Didn't follow BEDMAS
-How did 7=8(x-4) turn into 78=x-4?

Hope this helps.
-Benjamin

4 0

3 years ago

What is the answer for -7=6x-1

notsponge [240]

-7+1=6x. -6=6x. So the answer will be -1 bc they have opposite signs

8 0

3 years ago

Read 2 more answers

-3|9x-7|=2 Find the answer for x

labwork [276]

<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

No Solutions

<h3>Step-by-step explanation:</h3>

Given:

$-3|9x -7| = 2$

Rewriting the given equation:

$-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}$

We have to realize that the right side of the equation, $|9x -7|$ , will always be positive no matter what real values of $x$ (because we're taking the absolute value of the expression) and we are equating it to a negative constant number, $-\frac{2}{3}\\$ . Something that is always positive will never be negative so there's no value for $x$ that satisfies the solution.

$\rule{6.5cm}{0.5pt}$

You may not read the following passage that I have written.

$\rule{6.5cm}{0.5pt}$

Solving by positive of the expression:

$9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}$

Solving by the negative of the expression:

$-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\ 9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}$

Checking: $x = \frac{19}{27}\\$

$-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{19}{27}\\$ is an extraneous solution.

Checking: $x = \frac{23}{27}\\$

$-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2$

$x = \frac{23}{27}\\$ is an extraneous solution.

8 0

2 years ago

I have no idea how to solve this. I have to teach myself this and I’m stuck. How do I find x?

Valentin [98]

Since the topic is similar right triangles you need to think of the Pythagorean triples, for this problem use the 3-4-5 triplet ratio

8 0

3 years ago