Which expressions are equivalent to: 3(−2a - 4)+3a? A: -6a - 12 +3a B: 3a+12 C: none of the above smh

Answer:

62

Step-by-step explanation:

180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180

You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62

Answer:

62°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side

2x + 4 + 3x - 13 = 116° add like terms

5x - 9 = 116°

5x = 125° divide both sides by 5

x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

Answer:

Option (C)

Step-by-step explanation:

Measure of the arc BC of a circle A = 60°

Since, measure of an arc is equal to the measure of the central angle that intercepts the arc.

Therefore, m∠A = 60°

Since, measure of the inscribed angle is half of the central angle subtended by the same arc.

Therefore, m∠A = [tex]2\times m(\angle {BDC})[/tex]

60° = 2 × m(∠BDC)

m∠BDC = 30°

Therefore, Option (C) will be the answer.

Answer:

It’s C

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component.

-3/4 ---- It is a fraction itself, so it is a fractional component

0 ---- Has no fractional component

2.3 Pi ---- Pi is irrational and is a decimal, so is 2.3. Most of this is a fractional component already.

The only one we can't eliminate using just the definition is 0.

Hope that helps, tell me if you need a further explanation

From the given numbers the number that is an integer is 0. The correct option is B.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given the following numbers -(3/4), 0, 2.3, and π. Therefore, from the given numbers the number that is an integer is 0.

Hence, From the given numbers the number that is an integer is 0.

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Answer:

-20

Step-by-step explanation:

Follow the PEDMAS order (from top to bottom):

Parentheses

Exponents

Division and Multiplication

Addition and Subtraction

(-5 × 9 - 1) ÷ 2 + (5)2 - 7

(-45 - 1) ÷ 2 + 10 - 7

-46 ÷ 2 + 10 - 7

-23 + 10 - 7

-13 - 7

-20

Answer:

-20

Step-by-step explanation:

=> [tex](-5 * 9-1)/2+(5)2-7[/tex]

Expanding parenthesis

=> [tex](-45-1)/2+10-7[/tex]

=> [tex]-46/2 + 3[/tex]

=> -23 + 3

=> -20

Answer:

60

Step-by-step explanation:

x + 0.30x = 78

1.30x = 78

x = 60

Answer:

The answer is 60.

Step-by-step explanation:

here, let another number be x.

according to the question the number when increased by 30% will be 78. so,

x+ 30% of x =78

now, x+ 30/100×x =78

or, x+0.3x=78

or, 1.3x=78

Therefore the another number is 60.

Hope it helps...

Answer:

A) 1  2/3 yards

Step-by-step explanation:

Hope this helped

Answer:

The answer is A

Let me finish the quiz then upload a picture to this answer showing you the correct answer is A

Step-by-step explanation:

Answer:

La escala utilizada en el mapa es 1 : 900000.

Step-by-step explanation:

El enunciado describe claramente una escala de reducción. El factor de escala se define como sigue:

[tex]n = \frac{s_{plano}}{s_{real}}[/tex]

Donde:

[tex]n[/tex] - Factor de escala, adimensional.

[tex]s_{plano}[/tex] - Distancia en el plano, medida en centímetros.

[tex]s_{real}[/tex] - Distancia real, medida en centímetros.

Si [tex]s_{plano} = 5\,cm[/tex] y [tex]s_{real} = 4500000\,cm[/tex], entonces el factor de escala es:

[tex]n = \frac{5\,cm}{4500000\,cm}[/tex]

[tex]n = \frac{1}{900000}[/tex]

La escala utilizada en el mapa es 1 : 900000.

Answer:

B. Y = -3X

C. Y = 4 - 3X

Step-by-step explanation:

Y = -3X + 2

This is in the form y= mx +b where m is the slope

The slope is -3

Parallel lines have the same slope

A. Y = 1/3 X - 2   the slope is 1/3

B. Y = -3X   The slope is -3  

C. Y = 4 - 3X Y = -3x+4  the slope is -3

Answer:

  C.  10

Step-by-step explanation:

The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.

Answer:

1

Step-by-step explanation:

1 ÷ 1 = 1

2 ÷ 1 = 2

3 ÷ 1 = 3

4 ÷ 1 = 4

5 ÷ 1 = 5

6 ÷ 1 = 6

7 ÷ 1 = 7

8 ÷ 1 = 8

9 ÷ 1 = 9

10 ÷ 1 = 10

Answer:

The world smallest number that is divisible by all the numbers 1,2,3,4,5,6,7,8,9,10 means that all the above numbers can divide that number without a remainder.

From the question the world smallest number that is divisible by the above numbers is

Hope this helps you

Answer:

f(x) = -(x + 1)² - 2

Step-by-step explanation:

f(x) = a(x - h)² + k

-6 = a(1 - -1)² + -2

-6 = a(4) -2

-4 = 4a

a = -1

f(x) = -(x + 1)² - 2

Answer:

6y +2x +7

Step-by-step explanation:

10 + 6y + 2x - 3​

The only like terms are the constant

6y+2x +10-3

6y +2x +7

Answer:

2x + 6y + 7.

Step-by-step explanation:

10 + 6y + 2x - 3

= 2x + 6y - 3 + 10

= 2x + 6y + 7.

Hope this helps!

Answer:

3 × 7

Step-by-step explanation:

The order of a matrix is the number of rows and columns that it has. Rows are listed first and columns are listed second. The matrix has 3 rows going across horizontally and 7 columns going down vertically.

Therefore, the order of the matrix is 3 × 7.

Hope that helps.

Step-by-step explanation:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))

The expression 5 log₅ x - 1/4 log₅ (8 - x) can be condensed to [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , using the laws of logarithms and exponents.

A logarithmic expression x = logₐb, implies that aˣ = b.

Some properties used to solve logarithmic expressions are:

In the question, we are asked to condense the expression:

5 log₅ x - 1/4 log₅ (8 - x)

= [tex]log_{5}x^{5} - log_{5}(8 - x)^{1/4}[/tex], (using the power law: logₐ xⁿ = n.logₐ x)

= [tex]log_{5}x - log_{5}\sqrt[4]{8 - x}[/tex], (since, [tex]x^{1/a} = \sqrt[a]{x}[/tex])

= [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , (using the quotient law: logₓ a - logₓ b = logₓ a/b).

∴ The expression 5 log₅ x - 1/4 log₅ (8 - x) can be condensed to [tex]log_{5} \frac{x^5}{\sqrt[4]{8-x} }[/tex] , using the laws of logarithms and exponents.

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Answer:

-7 > x

Step-by-step explanation:

3(x-4)>5x+2

Distribute

3x-12>5x+2

Subtract 3x from each side

3x-12-3x>5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12-2>2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

Answer:

[tex]\boxed{x<-7}[/tex]

Step-by-step explanation:

3(x-4)>5x+2

Expand brackets.

3x - 12 > 5x+2

Subtract 3x and 2 on both sides.

-12 - 2 > 5x - 3x

-14 > 2x

Divide both sides by 2.

-7 > x

Switch sides.

x < -7

Answer:

answer is B

Step-by-step explanation:

Answer:

(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).

(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.

About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.

Step-by-step explanation:

(A) 99% of 421 = 416.79

421 - 416.79 = 4.21

4.21 ÷ 2 = 2.105

(421-2.105), (421+2.105)

The lower and upper limits are:

[418.895 , 423.105]

(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.

Answer:

Solution,

∆ ACB = ∆ EFD

finding the value of X,

[tex] \frac{x}{3.8} = \frac{15}{5} [/tex]

Apply cross product property

[tex]x \times 5 = 15 \times 3.8[/tex]

Calculate the product

[tex]5x = 57[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{57}{5} [/tex]

Calculate

[tex]x = 11.4[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

slope is undefined

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

Answer:

Undefined

Step-by-step explanation:

If the line is strait up like x = 4 that means it is undefined.

Answer:

  1.2b

Step-by-step explanation:

When we say, "a number that is 20% greater than b," we're talking about a number that is ...

  b + 20%×b

  = b + 0.20b

  = b(1 + 0.20)

  = 1.2b

Answer:

[tex]tan(-1) \approx -0.02[/tex]

Step-by-step explanation:

The given expression is

[tex]tan(-1)[/tex]

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of [tex]\pi[/tex], where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at [tex]x=-1[/tex], the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

[tex]tan(-1) \approx -0.02[/tex]

Answer:

6x

Step-by-step explanation:

7x - x

Factor out x

x( 7-1)

6x

Answer:

6x

Step-by-step explanation:

7x - x

Apply rule : a = 1a

x = 1x

7x - 1x

Factor out x.

(7 - 1)x

(6)x

Answer:

D

Step-by-step explanation:

You can test this out with a number.

try dividing 23 by 8:

you will get 2 remainder 7 which works for the condition.

Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:

The only one that applies to this aforementioned condition is 8.

Answer:

D

Step-by-step explanation:

The remainder can never be greater than the number by which it is divided

For example:

n = any number

n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)

n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)

n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)

n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)

n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)

..... etc

Answer:

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 150000[/tex]

    The standard deviation is  [tex]\sigma = \$ 1200[/tex]

    The prices we are considering is [tex]x_1 = \$150000 \to \ x_2 = \$ 152400[/tex]

Given that the price is normally distributed , the percentage the percentage of buyers who paid between $150,000 and $152,400 is mathematically represented as

      [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } < \frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma })[/tex]

So   [tex]\frac{X - \mu}{\sigma }[/tex]  is equal to z (the standardized value of  X  )

   So

        [tex]P(x_1 < X < x_2) = P(\frac{x_1 - \mu}{\sigma } <Z < \frac{x_2 - \mu}{\sigma })[/tex]

substituting values

       [tex]P(x_1 < X < x_2) = P(\frac{150000 - 150000}{1200 } <Z < \frac{152400 - 150000}{1200 })[/tex]

      [tex]P(x_1 < X < x_2) = P(0<Z < 2)[/tex]

      [tex]P(x_1 < X < x_2) = P( Z < 2) - P( Z < 0 )[/tex]

From the standardized normal distribution table [tex]P(Z < 2 ) = 0.97725[/tex] and  

   [tex]P(Z < 0) = 0.5[/tex]

So  

     [tex]P(x_1 < X < x_2) = 0.97725 - 0.5[/tex]

    [tex]P(x_1 < X < x_2) = 0.47725[/tex]

The percentage is  [tex]P(x_1 < X < x_2) = 47.7 \%[/tex]

Answer:

  51 inches

Step-by-step explanation:

The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...

  CF = 3(GF) = 3(17 in)

  CF = 51 in

Answer:

3/4

Step-by-step explanation:

3/4 is already in it's simplest form as you already know that consecutive numbers don't have anything in common to multiply.So, it is in it's simplest form.

Hope it helps u : )

The equivalent and the percentage form of 3/4 are 12/16 and 75% respectively.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, the ratio of 3/4

Percentage of 3:4 = 34×100%=75%

the equivalent ratio of 3:4 is 12:16.

A ratio is a fraction that may compare part to whole or part to part. For example, suppose in a class, the ratio of boys to girls is 3 to 4. It means that the number of boys divided by the number of girls is a fraction that, in its simplest form, equals 3 over 4.

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Answer:

3x

Step-by-step explanation:

18 x^2 / 6x

Divide the numbers

18/6 =3

Then divide the variables

x^2 /x = x

The result is 3x

Answer:

3x

Step-by-step explanation:

18x^2/6x

x^2 / x is x

18x/6

18/6 is 3

it all simplifies into 3x

Answer:

See below

Step-by-step explanation:

Proof:

Statements                                    |  Reasons

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                       | congruent, the quad. is a parallelogram.

It is prove that given quadrilateral is a parallelogram.

            AD ≅ BC      and AD ║ BC              

            AC ≅ AC            

       So that,   ∠DAC ≅ ∠ACB                              

            ΔADC ≅ ΔBCA    

        So that, BA ≅ DC                                        

Hence, opposite sides of given quadrilateral are equal. Therefore, given quadrilateral are parallelogram.

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