Which shows the best use of the associative and commutative properties t make simplifying 2/5-15+ 8-1/5+3 easier? A [2/5 + (-15)] +[8+(-1/5)+3 B.[3+2/5+(-15)] +[(-1/5) + 8) C.[2/5+(-1/5)]+[8+3+(-15)] D.[2/5+8+(-15)]+[3+(-1/5)]

there could be a calculator online to solve it

internal angles are 144° and external 36°

Answer:

18°

Step-by-step explanation:

The m∠A ≅ x+32

The angle opposite 36° is 36° & the angle opposite x+126 is x + 126: Vertical angles theorem

The three angles in the triangle with m∠A are 36°, x+126°, and x+32°(m∠A)

36+x+126+x+32 = 180 : Angles in a triangle theorem

194+2x = 180

2x = -14

x= -7

m∠A ≅ -14+32

m∠A≅ 18°

I hope this helps!!!

The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

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Answer:

OK, I love these questions. The way to get the answer is always remember this formula- (PRICE DIVIDED BY QUANTITY). In this case, the price for a 5 pound bag of onions costs 3.99. So, to find the unit price per pound, all you need to do is divide 3.99 by 5. If you do the math (3.99/5), you'll get the answer of 79 cents per pound. If your asked to round, the answer would be 80 cents per pound.

The value of angle M<1 is 59.

The value of angle M<2 is 61.

The value of angle M<3 is 119.

The value of M3 can be determined by subtracting 61 from 180. This is because angles along a straight line is equal to 180.

180 - 61 = 119.

The value of M2 is equal to 61. This is because alternate angles are equal.

The value of M3 can be determined by subtracting 61, 60 from 180. This is because sum of angles in a triangle is equal to 180.

180 - 60 - 61 = 59

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Answer: -2 and 4

Step-by-step explanation:

\(f(x) = \frac{-2x+2}{2x+4}\)            g(x) = -2x+8

Question asks what the domain is if we had f(x) ÷ g(x)

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4}\)  ÷                  >When dividing fractions, keep the first

                                                      Change the sign, flip the second fraction

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4} * \frac{1}{-2x+8}\)        

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{(2x+4)(-2x+8)}\)          

> you can never get a 0 on the bottom of division so that is where the exception of what x cannot be.

2x+4 = 0

2x= -4

x =  -2

and

-2x+8 = =

-2x = -8

x = 4

So x cannot be -2 and 4

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer: 13) 6

I dont know 16 or 17

19) 33

Step-by-step explanation:

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:DC=7

Step-by-step explanation:

As it is written △ABC = △DBC.   So the corresonding legs (the legs which are equal ) are as follows:

AC=DC       AB=DB      BC= BC

So DC=7  the same like AC

Answer:

honestly i think it might be (C)

Step-by-step explanation:

Answer:

x= 1/5y +1/5 have a good day whoever you are :D

Step-by-step explanation:

Step 1: Flip the equation.

5x−5=y−4

Step 2: Add 5 to both sides.

5x−5+5=y−4+5

5x=y+1

Step 3: Divide both sides by 5.

5x /5 = (y+1) /5

x= 1/5y +1/5

Answer:

5x-y=-1

Step-by-step explanation:

y-4=5x-5

take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side

-5x+y=-5+4

-5x+y=-1

divide both sides by -1

5x-y=1

Answer:

it means it is less than one

Answer:

it is D

Step-by-step explanation:

the ratio is 1.5 so multiply 15 by 1.5

1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Answer:

ok so first we have to find out what the sample size is so

28+36+48+63=175

then lets find what percentage 28 is of 172

16.28

so ten lets find out how many that is out of the 1800

1800*0.1628=293.04

293 people will like potato chips

Hope This Helps!!!

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

\(ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457\)

Answer:

you can make 12 cans of them

Answer:

\(3^2=x+5\)

Step-by-step explanation:

Given equation:

\(\log_3(x+5)=2\)

Method 1

\(\textsf{Using the Log law:} \quad \log_ab=c \:\: \Longleftrightarrow \:\: a^c=b\)

\(\implies \log_3(x+5)=2\)

\(\implies 3^2=x+5\)

Method 2

Make both sides of the equation the index to base 3:

\(\implies \log_3(x+5)=2\)

\(\implies 3^{\log_3(x+5)}=3^2\)

Apply the log law \(a^{\log_ax}=x\) :

\(\implies x+5=3^2\)

Swap sides:

\(\implies 3^2=x+5\)

Solve for x

Although the question hasn't asked to solve for x, here is the solution:

\(\implies 3^2=x+5\)

\(\implies 9=x+5\)

\(\implies x=9-5\)

\(\implies x=4\)

Check

Substitute the found value of x into the original equation:

\(x=4 \implies \log_3(4+5)=\log_39=2 \quad \leftarrow\textsf{correct}\)

\(\\ \rm\Rrightarrow log_3(x+5)=2\)

\(\\ \rm\Rrightarrow x+5=3^2\)

\(\\ \rm\Rrightarrow x+5=9\)

\(\\ \rm\Rrightarrow x=9-5\)

\(\\ \rm\Rrightarrow x=4\)

When the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes, the time when they will stop at same time is 18 minutes.

From the information, the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.

Therefore, the time when will they stop at same time will be the lowest common multiple for 9 and 6. This is 18. Therefore, 18 minutes is the appropriate answer.

Therefore, the the time when they will stop at same time is 18 minutes.

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Trains on two different routes at the same train station. Train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes. When will they stop at same time?

Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

Additional Perspectives. A pair of supplementary angles are two angles whose sum measures 180°. A 110° angle and a 70° angle are two examples of supplementary angles

1) 4x+ 6 = 130

       x= 31

2) 9x +36+45 =180

  x=11

We have,

Additional Perspectives. A pair of supplementary angles are two angles whose sum measures 180°. A 110° angle and a 70° angle are two examples of supplementary angles. Consider the following example: Here is a 180° straight line, let's call it Z.

If a transversal cuts two parallel lines, the interior angles on the same side of the transversal are supplementary. If a transversal cuts two parallel lines, the exterior angles on the same side of the transversal are supplementary.

1) 4x+ 6 = 130

       x= 31

2) 9x +36+45 =180

  x=11

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complete question:

Describing Supplementary Angle Relationships

► Circle all the problems that show two labeled angles that are supplementary.

Then find the value of x for only the circled problems.

Answer:

b=0.733333

Step-by-step explanation:

Answer:

\(|F'H'| = 2 * |FH|\)

Step-by-step explanation:

Given

\(E = (0,1)\)             \(E' = (-1,2)\)

\(F = (1,1)\)             \(F' = (1,2)\)

\(G = (2,0)\)             \(G' =(3,0)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

\((x,y) = (1,0)\) -- center

\(k = 2\) --- scale factor

See comment for proper format of question

Required

Compare FH to F'H'

From the question, we understand that the scale of dilation from EFGH to E'F'G'H is 2;

Irrespective of the center of dilation, the distance between corresponding segment will maintain the scale of dilation.

i.e.

\(|F'H'| = k * |FH|\)

\(|F'H'| = 2 * |FH|\)

To prove this;

Calculate distance of segments FH and F'H' using:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Given that:

\(F = (1,1)\)             \(F' = (1,2)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

We have:

\(FH = \sqrt{(1- 0)^2 + (1- 0)^2}\)

\(FH = \sqrt{(1)^2 + (1)^2}\)

\(FH = \sqrt{1 + 1}\)

\(FH = \sqrt{2}\)

Similarly;

\(F'H' = \sqrt{(1 --1)^2 + (2 -0)^2}\)

\(F'H' = \sqrt{(2)^2 + (2)^2}\)

Distribute

\(F'H' = \sqrt{(2)^2(1 +1)}\)

\(F'H' = \sqrt{(2)^2*2}\)

Split

\(F'H' = \sqrt{(2)^2} *\sqrt{2}\)

\(F'H' = 2 *\sqrt{2}\)

\(F'H' = 2\sqrt{2}\)

Recall that:

\(|F'H'| = 2 * |FH|\)

So, we have:

\(2\sqrt 2 = 2 * \sqrt 2\)

\(2\sqrt 2 = 2\sqrt 2\) --- true

Hence, the dilation relationship between FH and F'H' is::

\(|F'H'| = 2 * |FH|\)

Answer:NOTT !!  A segment in the image has the same length as its corresponding segment in the pre-image.

Step-by-step explanation: