Determine whether the value of the variable is a solution of the equation -2(2m-8)=-2(-6m-8);m=0

Answer:

[tex] \sf \large \: x= \frac{−5}{2} \: and \: y = \frac{3}{2} [/tex]

Step-by-step explanation:

Let's solve your system by substitution.

y−x=4;6y+2x=4

Rewrite equations:

−x+y=4;2x+6y=4

Step: Solve−x+y=4for y:

−x+y=4

−x+y+x=4+x(Add x to both sides)

y=x+4

Step: Substitute x+4 for y in 2x+6y=4:

2x+6y=4

2x+6(x+4)=4

8x+24=4(Simplify both sides of the equation)

8x+24+−24=4+−24(Add -24 to both sides)

8x=−20

8x/8 = −20/8

(Divide both sides by 8)

x= −5/2

Step: Substitute −5/2 for x in y=x+4:

y=x+4

y=−5/2+4

y=3/2

(Simplify both sides of the equation)

Since the given expression can be factored in the form (2t+1) and (t+2) so 2t² + 5t + 2 cannot be a prime number.

A whole number greater than 1 that has no factor other than 1 and the number itself is called a prime number.

Some examples of prime numbers are 3,11,19 ... all these numbers can only be divided by 1 or the number itself so they are called prime.

In the given expression 2t² + 5t + 2 , it is said that t is positive whole number. So if t is a positive whole number then the expression can be written as another positive whole number.

Now the expression 2t² + 5t + 2  can be factored into two smaller factors.

2t² + 5t + 2

= 2t² + 4t + t + 2

= 2t (t + 2 )+1 (t+2)

= (t+2) (2t+1)

If t is a positive whole number then t+2 is a whole number and 2t+1 is another positive whole number.

Hence these two numbers are factors of 2t² + 5t + 2 . But a prime number does not have any factors.

So 2t² + 5t + 2  is not a prime number.

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Answer:

∠ B = 166°

Step-by-step explanation:

since ∠ A and ∠ B are vertical angles then they are congruent, that is

∠ A = ∠ B

6x - 26 = 5x + 6 ( subtract 5x from both sides )

x - 26 = 6 ( add 26 to both sides )

x = 32

Then

∠ B = 5x + 6 = 5(32) + 6 = 160 + 6 = 166°

Answer:

C. $117.88

Step-by-step explanation:

$10.25 per hour

11.5 hours worked

$10.25 * 11.5 = $117.875

round $117.875 to $117.88

C. $117.88

Answer:

1/4+s=18/20

Step-by-step explanation:

The answer is between 0 and 1

18/20 = 0.9

1/4+s=0.9

0.9-0.25=0.65

s=0.65

Answer:

0.456

Step-by-step explanation:

456÷1000

=0.456ml

The distance between the points is 8.6 units

The points are given as:

(8, 2) and (3,9).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(8 -3)^2 + (2 - 9)^2

Evaluate

d = 8.6

Hence, the distance between the points is 8.6 units

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Answer: The answer is 15

Answer:

15 is the solution.

Step-by-step explanation:

Finding the value of expression,

→ 12 + |7 - 10|

→ 12 + |-3|

→ 12 + 3 = 15

Hence, the value is 15.

Answer:

time = 6.25 years

Step-by-step explanation:

To calculate the simple interest earned, we can use the following formula:

[tex]\boxed{I = \frac{Prt}{100}}[/tex],

where:

I = simple interest ($500)

P = principal amount ($2000)

r = interest rate (5%)

t = time (? years)

To calculate the amount of time the money must be left, we have to substitute the given values into the equation, and solve for t:

[tex]500 = \frac{2000 \times 4 \times t}{100}[/tex]

⇒ [tex]500 \times 100 = 8000t[/tex]      [Multiplying both sides by 100]

⇒ [tex]50000 = 8000t[/tex]

⇒ [tex]t = \frac{50000}{8000}[/tex]

⇒ [tex]t = \bf 6.25 \ \mathrm{\bf {years}}[/tex]

Therefore, the money must be left in the account for 6.25 years to earn $500 interest.

Answer:

x=33

Step-by-step explanation:

Simplifying 2x + 25 + 3x + -10 = 180 Reorder the terms: 25 + -10 + 2x + 3x = 180 Combine like terms: 25 + -10 = 15 15 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 15 + 5x = 180 Solving 15 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 180 + -15 5x = 180 + -15 Combine like terms: 180 + -15 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33

Answer:

x=33

Step-by-step explanation:

(2x+25)+(3x-10)=180

2x+25+3x-10=180

2x+3x+25-10=180

5x+15=180

5x=180-15

5x=165

5x/5=165/5

therefore x=33

Answer: 1. D.0.5, 2.5

2. B 10,-1

3. B.-6,-6

4. C 7,5

5. D. Infinite number of solutions

6. A. -1,3

7. C. -1,-0.5

8. B. Seven $1....eight $5...

9. D. 200 muffins

10. A. 2y=1.5x-2 D.-4y+3x=-2

Step-by-step explanation:

i did the quiz, Gl, and thx!

Answer:

Khan academy could really help it has videos and lessons so start there.

Step-by-step explanation:

AnAt what rate is the amount of flour decreasing? 270- 180 90- grams per minute 2. As time increases, the amount of flour in the machine increases. Time (minutes)

Answer:

[tex]4a+3=7-5+8a\\4a-8a=7-5-3\\-4a=-1\\\frac{-4a}{-4} =\frac{-1}{-4} \\a=\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

6(x+4)=30

So wee need to find out what multiplied by 6 =30

30/6=5

Now wee need to figure out what plus 4 equals 5

5-4=1

1+4=5

6(1+4)=30

So x=1

Hope this helps!^^

y-7=-4(x-3)

find the slope first

-1-7/ 5-3= -8/2

m= -4

put the slope into the point slope formula,

y-y1=m(x-x1)

to get

y-7=-4(x-3)

Answer: m= -4 y=-4x + 19

Answer:

4

Step-by-step explanation:

Since 4 is the nearest whole number in 4.197, we need to look at the number next to it.

1 is less than 5, so 4 stays the same.

For given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

In this question, we have been given a polynomial 1/2a^4 + 3a³ + a

We need to determine the coefficient of the third term and the constant term.

we can rewrite given polynomial as 1/2a^4 + 3a³ + 0a² + a + 0

The general form of the fourth degree polynomial is:

a_0 + a_1x + a_2x^2 + a_3x^3 + a_4x^4

where a_0 is the constant term

Comparing given polynomial with above general form.

a_0 = 0

a_1 = 1

a_2 = 0

a_3 = 3

a_4 = 1/2

So, the constant term is a_ 0 = 0

And there is no coefficient for the third term.

Therefore, for given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

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The required scale factor for the small rectangle is 8.

Given that,
Rectangle a is a 2 by 4 would a be 4 by 8,
To determine the scale factor,

The scale factor is defined as the ratio of modified change in dimensions to original dimensions

Area of the rectangle = product of dimensions = length * width
Area of the former rectangle = 2 * 4

                                                = 8
Area of the later rectangle = 4 * 8 = 32
                                           
Scale factor = area of the later rectangle/area of the former rectangle
                    = 32 / 8
                    = 8

Thus, the required scale factor for the small rectangle is 8.

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Based on the price to buy a baker's dozen, the money that the baker will save from buying a Baker's dozen instead of 13 individual rolls is $0.60.

The price per roll is:

= 3.60 / 6

= $0.60

The price of 13 individual rolls is:

= 0.60 x 13

= $7.80

The amount saved is:

= Price of 13 rolls - Price of baker's dozen

= 7.80  - 7.20

= $0.60

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Answer: [tex]\angle APC[/tex] and [tex]\angle CPB[/tex]

Step-by-step explanation:

See attached image.

The value of m is 9 .

What is a Quadrilateral:

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

What is Circumscribed:

Circumscribed meaning is, a shape is restricted within any other shape. There is no circumvent for the inside figure to pass the outer figure. When we draw a figure around another figure, in such a way, that the outer figure which is surrounding the inside figure touches all its vertices, but doesn’t cross it. The outer figure touches the maximum points of the inside figure without crossing it. These geometrical shapes could be a circle, a square, a triangle, a rectangle or a quadrilateral.

Now,

we know length of tangent from a point to a circle are equal

therefore,

AS=AP,,BP=BQ,CQ=CR,DR=DS

x=BC=BQ+QC=BP+RC=BP+CD−DR=BP+CD−DS

⇒x=5+7−3=9

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The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

We know that the height, in inches, of s sheets of paper can be described by the equation:

h = 0.004*s

So, if we have a single sheet, the height is:

h = 0.004*1 = 0.004

The height of a single sheet if 0.004 inches.

If instead we have two, then s = 2, we will have:

h = 0.004*2 = 0.008

The height is 0.008 inches.

So, the given equation:

h = 0.004*s

Is a proportional relation.

The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

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We have proved that the triangle formed is scalene triangle.

It is given that latitude and longitude of three cities is given.

We have to prove that the triangle formed by the three cities is a scalene triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The Δ formed is a scalene triangle.

Raleigh has latitude and longitude (35.82°N , 78.64°W)

Durham has latitude and longitude (35.99°N , 78.91°W)

Chapel has latitude and longitude (35.92°N , 79.04°W)

Let's represent Raleigh as R , Durham as D and Chapel as C.

Let's check it.

Using the distance formula ;

RD = [tex]\sqrt{(35.99-35.82)^2 + (78.91 - 78.64)^2}[/tex]

RD = [tex]\sqrt{( 0.17^2+ 0.27^2)}[/tex]

RD = [tex]\sqrt{0.102}[/tex]

RD = 0.32

Similarly ;

DC = [tex]\sqrt{0.07^2 + 0.13^2}[/tex]

DC = [tex]\sqrt{0.0218}[/tex]

DC = 0.15

And

RC = [tex]\sqrt{0.10^2 + 0.40^2}[/tex]

RC = 0.41

The sides are all of different lengths, so , we can conclude that this is a scalene triangle.

Thus , the triangle formed by given latitude and longitude of three cities is scalene.

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Answer:

Step-by-step explanation:

can 4 x 2/3 be 2/1 ?

2/1 = 2

solve with an equation

4 * 2/3 = 2

8/3 = 2

or

2.66666666667 = 2

the equation is false, so your answer is no

The coordinates of P' is (-3,2).

Given that P(-3, 6) is translated 4 units up and 8 units down.

The translation of a point involves moving it a certain distance horizontally and/or vertically. You can find the address of a translated point like this:

The point P(-3,6) is shown in blue above.

Travel 4 unit to the up and 8 units down from point P, and you arrive at point P'(-3,2), shown in red.

Hence, the coordinates of P' when P(-3, 6) is translated 4 units up and 8 units down is P'(-3,2).

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Answer: me man

Step-by-step explanation:

holy god

As the sample size increases, the standard error of the mean decreases.

How does the standard error change as the sample size grows?

Standard error diminishes as sample size grows because sample means tend to cluster more closely around the genuine population mean as sample size approaches the true population size.

What grows as the sample size grows?

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Since each input is mapped to only one output, the best description of the ordered pairs is given by:

A. both a relation and a function.

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x,y), we have that:

For this problem, the points are given as follows:

(-3, 2), (3, -10), (5, -14), (10, -24)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

A. both a relation and a function.

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