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2 years ago

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Explain why 3(5x) does not equal to (3 times 5)(3times x)

1 answer:

Anit [1.1K]2 years ago

7 0

Answer:

Because 3(5x) is the same as 3 *5 * x

Step-by-step explanation:

When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key

Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.

So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).

Hopefully that makes sense!

You might be interested in

Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p, where yequalsstartf

leva [86]

To solve this problem you must apply the proccedure shown below:

1. You have that $y$ varies jointly as $x$ and $z$ and inversely as the product of $w$ and $p$ . Therefore, you can write the following equation, where $k$ is the constant of proportionality:

$y=k(\frac{xz}{wp} )$

2. Now, you must solve for the constant of proportionality, as following:

$k=\frac{ywp}{xz}$

3. Susbtiute values:

$y=\frac{7}{28} \\ x=7\\ z=4\\ w=7\\ p=8$

$k=\frac{(\frac{7}{28})(7)(8))}{(7)(4)} =0.5$

4. Substitute the value of the constant of proportionality into the equation:

$y=0.5(\frac{xz}{wp})$

The answer is: $y=0.5(\frac{xz}{wp})$

7 0

2 years ago

Where would 3.8 go on the number line?

nata0808 [166]

Answer:

Between 3 and 4

Step-by-step explanation:

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=3x%20%5E%7B2%7D%20%2B%2010x%20%2B%208" id="TexFormula1" title="3x ^{2} + 10x + 8" alt="3x ^{2}

r-ruslan [8.4K]

if we're factoring you can use the AC method. A multiplied by C is 24. and 4x6 is 24.

(x+4)(x+6) is your answer

8 0

2 years ago

P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?

Allushta [10]

Answer:

12 cm and 24 cm

Step-by-step explanation:

The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )

The sum is therefore

2x + 4x = 36

6x = 36 ( divide both sides by 6 )

x = 6

Thus

GP = 2x = 2 × 6 = 12 cm

PR = 4x = 4 × 6 = 24 cm

6 0

2 years ago

69.6% of all full-time law enforcement officers are sworn officers, and of those, 88.2% were males. Females, however, make up 60

Evgen [1.6K]

Answer:

The probability that he or she is a male or a civilian employee is 1.037068

Step-by-step explanation:

Probability of sworn officers = 0.696

Probability of civilians = 1 - 0.696 = 0.304

Probability of male sworn officers = 0.882*0.696 = 0.6139

Probability of male civilian = (0.304*(1-0.608)) = 0.1192

Hence probability that he or she is a male or civilian employee is

0.6139 + 0.1192 + 0.304 = 1.037068

7 0

2 years ago

Read 2 more answers