How to do this question?

Two less than the sum of a number and six is equal to the product of

stiks02 [169]

Let's use the variable, x, to represent the unknown number.

We can represent the words, "the sum of a number and six, as : x + 6

The words, " 2 less than the sum", can be represented as: x + 6 - 2

The words, "the product of the number and three", can be written as: 3x

Now create an equation using "is equal to" to join the expressions:

x + 6 -2 = 3x

Now combine like terms and use inverse operations to solve for x:

x + 6 -2 = 3x

x + 4 = 3x

x + 4 - x = 3x - x

4 = 2x

4/2 = 2x/2

2 = x

The unknown number is 2

8 0

3 years ago

Hi can anybody tell me the answer

Marta_Voda [28]

Answer:

$(3x + 4) ^{2}$

hope this helps

7 0

3 years ago

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Which is the best estimate for the lenght Of a real baseball bat?

antoniya [11.8K]

3 ft < because a wilsons bat is 3 ft

5 0

4 years ago

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A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. I

Irina18 [472]

Answer:

31.35%

Step-by-step explanation:

<h3>Initial reading:</h3>

In the box, there are:

6 Black pens
4 blue pens
7 red pens

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

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<h3>New reading:</h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

Number of black pens = 6 - 1 = 5 
Total number of pens = 17 - 1 = 16

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<h3>Probability:</h3>

$\boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}$

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

the number of favorable outcomes = number of black pens

= 5

and total outcomes = Total number of pens

= 16

$\implies\mathsf{probability = \frac{5}{16} }$

For showing it as some percent we'll just multiply the fraction by 100

$\implies \mathsf{ \frac{5}{16} \times 100 }$

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<h3>As a percent:</h3>

$\implies \mathsf{ \underline{ 31.25 \: \% } }$

4 0

3 years ago

Joel had to pay 5% tax on a bill that was $51.70. how much did he pay total

uranmaximum [27]

$54.29

This is because 5% of $51.70 is $2.59. The sum of the tax and bill would become $54.29.

3 0

4 years ago

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