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4 years ago

Simplify 3(x - 6) - 4(x 3). a. -x - 30 b. -x - 9 c. -x - 6 d. -x2 - 30

Mathematics

2 answers:

Lelechka [254]4 years ago

8 0

3(x - 6) - 4(x + 3) = 3x - 18 - 4x - 12 = -x - 30

Tom [10]4 years ago

6 0

Answer:

-x-30

Step-by-step explanation:

first you need to distribute:

3(x)+3(-6) -4(x)+ (-4)(3)

Then you multiply:

3x+(-18)-4x+(-7)

then you combine like terms:

3x-4x= -1x

-18+(-7)= -25

simplified:

-1x-30

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It says what to do in the problem :)

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

1). (10x - 27)° = (2x + 29)°

10x - 27 = 2x + 29

8x = 56

x = 7

m∠W = (2(7) + 29)° = 43°

2). (14x + 4)° + 51° + 55° = 180°

14x + 110 = 180

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7 0

3 years ago

Write the coordinates of one point that lies in the

Harman [31]

Answer:

Example Quadrant 3 coordinate value (-2, -2)

Step-by-step explanation:

Coordinates are written (x, y)

Quadrant 1: both x and y are positive values. Example (2, 2)

Quadrant 2: x is negative and y is positive. Example (-2, 2)

Quadrant 3: both x and y are negative values. Example (-2, -2)

Quadrant 4: x is positive and y is negative. Example (2, -2)

6 0

3 years ago

Please help me with this one question, and I'll upvote the brainliest answer

ra1l [238]

Answer: " x = 12 " .

________________________________________________

Step-by-step explanation:

________________________________________________

Note: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".

________________________________________________

Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;

→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :

→ Set up proportions as a "ratio" ; or fraction:

→ 7:28::25:(6x + 28) ; Solve for "x" ;

Let us write this in the form of a "fraction" :

→ $\frac{7}{28} = \frac{25}{(6x+28)}$ ;

________________________________________________

Note:

→ Rewrite: " $\frac{7}{28}$ " ; by simplifying to:

" $\frac{1}{4}$ " ;

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→ Since: " $\frac{7}{28}$ " ;

= " (7÷7) / (28÷7) " ;

= " (1 /4) " ;

= " $\frac{1}{4}$ " .

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Now, rewrite the "proportion" ; as follows:

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$\frac{1}{4} = \frac{25}{(6x+28)}$ ;

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Now: "Cross multiply" ; that is:

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→ Given: " $\frac{a}{b} = \frac{c}{d}$ " ;

and: " b $\neq$ 0 " ; " d $\neq$ 0 " ;

→ Then: " a * d " = " b * c " .

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Likewise: " 1(6x + 28) = (4) * (25) " ;

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SImplify: " 6x + 28 = 100 " ; Solve for "x" ;

→ Subtract "28" from each side of the equation:

→ " 6x + 28 - 28 = 100 - 28 " ;

to get: → " 6x = 72 " ;

Now, divide each side of the equation by: " 6 " ;

to isolate "x" on one side of the equation; & to solve for "x" ; as follows:

→ " 6x = 72 " ;

→ 6x / 6 = 72 / 6 ;

to get:

→ " x = 12 " ;

→ which is the answer.

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Hope this helps!

Best wishes in your academic pursuits

— and within the "Brainly" community!

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5 0

3 years ago

The forestry service personnel at a national forest are estimating the average height of the trees in the forest. They measure t

meriva

Answer:

The correct answer is A. 45.2

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Number of trees of the sample = 31

Number of trees of the sample with a height between 60 and 65 feet tall height = 3

Number of trees of the sample with a height between 65 and 70 feet tall height = 3

Number of trees of the sample with a height between 70 and 75 feet tall height = 8

Number of trees of the sample with a height between 75 and 80 feet tall height = 10

Number of trees of the sample with a height between 80 and 85 feet tall height = 5

Number of trees of the sample with a height between 85 and 90 feet tall height = 2

2. Let's calculate the percentage of the trees that are less than 75 feet tall:

Percentage of the trees less than 75 feet tall = [(Number of trees of the sample with a height between 60 and 65 feet tall + Number of trees of the sample with a height between 65 and 70 feet tall + Number of trees of the sample with a height between 70 and 75 feet tall)/Number of the trees of the sample] * 100

Replacing with the real values, we have:

Percentage of the trees less than 75 feet tall = [(3 + 3 + 8)/31] * 100

Percentage of the trees less than 75 feet tall = [(14)/31] * 100

Percentage of the trees less than 75 feet tall = 0.451613 * 100

Percentage of the trees less than 75 feet tall = 45.1613% = 45.2% (Rounding to one decimal place)

The correct answer is A. 45.2

6 0

4 years ago

I need help with this question please :(

horrorfan [7]

Answer:

Step-by-step explanation:

$(2^7 \cdot 3^{-5}\cdot 9)^4$

Use the Power of a Product Property, where:

$(ab)^n=a^nb^n$

Therefore:

$(2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4$

3 0

4 years ago