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erik [133]
3 years ago
15

Simplify (3x − 5) − (4x + 6).

Mathematics
1 answer:
irinina [24]3 years ago
3 0

(3x − 5) − (4x + 6)

Pretend that there is a 1 in front of the first bracket.

Pretend that there is a -1 in front of the second bracket.

Multiply the first bracket by 1

(1)(3x)=3x, (1)(-5)=-5

Multiply the second bracket by -1

(-1)(4)=-4, (-1)(6)=-6

3x-5-4x-6

3x-4x-5-6 ( combine like terms)

-x-11

Answer: -x-11 or -11-x

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What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
Alchen [17]
<h3>Answer:  -3/4  (choice C)</h3>

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

6 0
3 years ago
An hour before show​ time, only 266 people are seated for a movie. . According to ticket​ sales, 93​% of the people have yet to
Mandarinka [93]

Answer:

3800 tickets

Step-by-step explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

\displaystyle \begin{array}{ccc} \displaystyle \rm7\%   \quad \text{People} \implies266 \:  \text{tickets} \\  \displaystyle100 \%\:   \quad \imath \imath \implies   \frac{266}{7\%}   \:  \:  \:  \: \imath  \imath \\ \\   \qquad  \displaystyle    \qquad\rm as  \: \% =    \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} }     \\   \\  \displaystyle   \rm  \: by \: simplifying \: complex \: fraction\longleftarrow 266  \times  \frac{100}{7}   \\  \rm reduce \: fraction \longleftarrow 38 \times 100  \\  \rm simplify \:multiplication  \longleftarrow3800\end{array}

hence,

<u>3</u><u>8</u><u>0</u><u>0</u> tickets were sold for the movie

4 0
3 years ago
Read 2 more answers
Which of the following list all x - intercepts of the graph of the equation y = x^3 - 4x ?
san4es73 [151]

Step-by-step explanation:

x³ - 4x = 0

x (x² - 4) = 0

x (x + 2) (x - 2) = 0

Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)

6 0
3 years ago
Help please if you could answer this question then tysm
Kaylis [27]

2x - 9 is the algebraic notation.

Hope it helps!

Please mark brainliest!

7 0
2 years ago
Read 2 more answers
the kerns pen company makes ballpoint pens. the fixed cost of operation for one month averages $53500. the cost of producing one
Tanya [424]

Answer:

  178,334 pens

Step-by-step explanation:

The company makes $0.30 above the variable cost on each pen, so must sell $53,500/$0.30 ≈ 178,334 pens to cover the cost of operation.

_____

Sale of 178,333 pens will result in a total cost of $0.10, so doesn't quite make the company break even. Sale of 178,334 pens will result in profit of $0.20.

5 0
3 years ago
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