Which of the following properties is represented by (x + y)(2 + z) = 2(x +y) + z(x + y)?

Associative Property of Multiplication

Commutative Property of Multiplication

Distributive Property

Associative Property of Addition

Answer:

1. c

i think its right i hope it is im so sorry if it is not

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

Answer:

Step-by-step explanation:

1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).

2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground

you may have to change the english a bit and english is not my first language

hope this will help

Answer:

it is D c= 180 + 50h + 20p

Step-by-step explanation:

c is the total cost and the boat is 180 but for additional hour it would be +$50

now the first four passenger is free but if another person comes on then it would be +$20 hope this help

The linear equation which describes the total cost of the rental is           c = 180 + 50h + 20p

The correct option is an option (D)

"It is an equation in which the highest power of the variable is always 1."

For given example,

The boat rental has a flat fee of $180 for up to three hours.

Fixed rental cost = 180                       ...............(1)

The boat rental has $50 per hour for each additional hour.

Let, h is each additional hour (over 3)

So, the rental cost for each additional hour = 50h               .............(2)

The first four passengers are included in this cost, but $20 is charged for each additional passenger.

Here, p is each additional passenger (over 4)

So, the rental cost for each additional passenger = 20p         ..................(3)

From (1), (2) and (3),

the required linear equation would be,

c = 180 + 50h + 20p

Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p

The correct option is an option (D).

Learn more about a linear equation here:

https://brainly.com/question/12974594

#SPJ2

Answer:

A) $13.79 per ticket

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential increase function:  

A = P (1 + r) t  

Where:  

p = original price

r = increase rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Feel free to ask for more if needed or if you did not understand something.  

Answer:

10 by 5 =50

10 by 5=50

10 by 2=20

10 by 2=20

2 by 5=10

2 by 5=10

100+40+20=160

Answer:525 boys

Step-by-step explanation:

Multiply 1250 times .58 and then subtract that answer from 1250....

1250x.58=725

1250-725=525

Answer:

There are 525 boys in that school.

Step-by-step explanation:

Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is

⇒100% - 58% = 42%

To find how many boys are in that school, you multiply 1250 by 42%.

i.e. [tex]\frac{42}{100} * 1250[/tex]

= [tex]\frac{42}{10} * 125[/tex]

= 4.2 × 125

= 525

∴ There are 525 boys in that school.

OR

You can find the number of boys there by subtract the product of 58% and 1250 by 1250.

i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]

                                     = [tex]\frac{58}{10} * 125[/tex]

                                     = 5.8 × 125

                                     = 725

∴ The boys in that school are:

= 1250 - 725

= 525

∴ There are 525 boys in that school.

Hope this helps!!!

Answer:

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

Answer:

4/81

Step-by-step explanation:

1/4, 1/6, 1/9, 2/27 series

So the common ratio is 2/3

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

Is the C

Because 3+(-1) = 2

2:2= 1

Answer:

C

Step-by-step explanation:

Answer:

1 5/6 = 11/6

2 1/8 = 17/8

11/6 ÷ 17/8

11/6 × 8/17

= 44/51

Hope this helps.

Answer:2.67 or 4/2

Step-by-step explanation: it just is

This is the answer

0.02

0.1

0.12

0.21

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:

Ishmail will  jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.

Ishmail will  jog 9 miles if he completes 6 laps around the track, if the track is hexagon .

Step-by-step explanation:

length of one side of pentagon = 1/4 miles

we know that number of sides of pentagon = 5

thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4

If anyone takes 1 lap of pentagon he will travel 5/4 miles

then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles

thus, in 6 laps 15/2 miles will be traveled.

Ishmail will  jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.

_______________________________________

we know that number of sides of hexagon = 6

thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles

If anyone takes 1 lap of hexagon he will travel 3/2 miles

then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles

thus, in 6 laps, 9 miles will be traveled.

Ishmail will  jog 9 miles if he completes 6 laps around the track.

Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Alina owes $4 to Mya and Mylana owes $1 to Mya and $1 to Genesis.

Step-by-step explanation:

As they want to share the party expenses equally, first you have to add all the expenses and divide them by 4 people to know the amount that each person has to pay:

$21+$25+$16+$18= $80/4= $20

As everyone has to pay $20 for the party expenses, we can see that Genesis spent $1 more and Mya $5 more, so they have to get the money back from the other 2 people.

Alina owes: $20-$16= $4. She owes $4 to Mya as she will pay the entire amount she owes to one person and Mya has to get $5 back.

Mylana owes: $20-$18= $2. She would have to pay $1 to Mya to complete the $5 she had to get back and $1 to Genesis.

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴

Answer:

Select:

11 x 3

4 x 11

5 x 11

Step-by-step explanation:

Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)

Therefore, the formulas we will need to use are:

1) for one of the rectangular faces = 11 x 3

2) for another rectangular face =  5 x 11

3) for the third  rectangular face = 4 x 11

4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]

Therefore only three formula expressions need to be selected from the given list.

Answer:

sure, what questions?

Step-by-step explanation:

Answer:

Sure what are the question

Step-by-step explanation:

Answer:

angle 1 and 3, and angle 2 and 4

Step-by-step explanation:

Answer:

1 and 3 AND 2 and 4

Step-by-step explanation:

Supplementary angles are angles that add up to 180, therefore we can assume that any angles that make a straight line together are supplementary. 1 and 4 do not make a straight line. 2 and 3 do not either. So we have to assume that the answer is either 1 and 3 or 2 and 4. Not sure whether you want one or two answers

Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Answer:

$4.5

Step-by-step explanation:

If the total price Yasmine earns was $54 and she walked her neighbors dog 12 times then we need to divde them.

54/12

= $4.5  So she earns $4.5 every time she walks her neighbors dog

Answer:

C. 4

Step-by-step explanation:

arc length = radius*θ ,

where θ is an angle in radians.

12 = 3*θ

θ = 12/3 = 4

Answer:

z = 75°

Step-by-step explanation:

You can see that CGE and FGD are vertical angles.

FGD = 15°

Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°

105° + z° = 180°

z = 75°

Answer:

75 degrees...

Step-by-step explanation:

if you look at the diagram, the angle with 15 degrees is the same as the one opposite!

So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!

Now we do 90 degrees - 15 degrees

This gives us 75 degrees!

So x = 75 degrees!

HOPE THIS HELPS!!

Answer:

2y + 18x = 2x(x + 9) ⇒ Graph II

3(y - 4) = 9x - 12-6 ⇒ Graph I

Step-by-step explanation:

Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.

Answer:

Graph 2 is a curved graph and matches x^2 measured data.

Step-by-step explanation:

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]

Answer:

So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees

Answer:

J = 45

Step-by-step explanation:

Since the two sides are the same, the base angles must be equal.  Since it is a right triangle, the two angles share 90 degrees

90/2 = 45

Each angle is 45 degrees

J = 45