Find the value of x
6.1 - angles of polygons

Answer:x=-1, y=2

Step-by-step explanation:

Summing these equations, we will obtain,

-7x =7

Therefore, x=-1

If we put x in the first equation,

(-3*-1)-5y=-7

3-5y=-7

-5y=-10

y=2

Answer:

x=-1, y=1

Step-by-step explanation:

-3x-5y=-7

-4x+5y=14

-7x=7

x=-1

-3x-5y=-7

-3(-1)-5y=-7

3-5y=-7

-5y=-10

y=2

Answer:

Step-by-step explanation:

y = kx ;

k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]

~~~~~~~~~~~~~

k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]

[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4

[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2

[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1

[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]x_{7}[/tex] = 0

( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )

Answer:

$142.92

Step-by-step explanation:

120 * 1.06^3 = 142.92192

Answer:

37.5

Step-by-step explanation:

multiply 50 by .75

same as

50/4=12.5+25=37.5

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

The length of the ladder needed to reach the top of the house is 31.2 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let d represent the length of the ladder. Using trigonometric ratio:

[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]

The length of the ladder needed to reach the top of the house is 31.2 feet.

Find out more at: https://brainly.com/question/4326804

Answer:

A- 480

Step-by-step explanation:

First, I'm going to work out 25% of 1200 for the before 1980 pennies.

10% = 120

20% = 240

5% = 60

240 + 60 = 300 pennies before 1980.

Next, work out 35% of 1200 instead.

20% = 240

+ 10%

30% = 360

+ 5% = 60

35% = 420 pennies from 1980-2000

Finally, work out how many pennies are leftover.

300 + 420 = 720

1200 - 720 = 480

A is the answer.

Hope this helps and have a good day!

Using the permutation and the combination formula, we have that:

a) The first three finishers can be awarded medals in 504 ways.

b) They can be arranged in 252 ways.

c) In how many ways can 4 students form a team from a set of 8.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Item a:

Order is important, as the finishers are ranked, hence:

[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]

The first three finishers can be awarded medals in 504 ways.

Item b:

The order is not important, hence:

[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]

They can be arranged in 252 ways.

Item c:

Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.

For more on permutation/combination, you can take a look at https://brainly.com/question/25247153

Answer:1/16 squared

Step-by-step explanation:

1/4*1/4

4*4=16

1/16

Answer:

2,3,4

Step-by-step explanation:

Answer:

y=2/3-5x/6

Step-by-step explanation:

Answer:

2/63

Step-by-step explanation:

I'm going to assume that the x is a multiplication symbol.

7 x 9 = 63

Therefore, the simplest form would be 2/63

Answer:

12.0

Step-by-step explanation:

Answer:

452.4

Step-by-step explanation:

Answer:

x>-4

Step-by-step explanation:

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

Answer:

  2 bottles

Step-by-step explanation:

The 15 trees will need ...

  (15 trees)×(10.5 fl oz/tree) = 157.5 fl oz

This is about ...

  (157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L

This is just slightly more than the quantity available in 1 bottle. It amounts to ...

  4.66 L/(4.1 L/bottle) ≈ 1.14 bottles

We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.

2 bottles are needed to fertilize 15 trees

Answer:

3i square root 2

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct answer is option D.

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

Learn more about the system of inequalities here: brainly.com/question/4870108

#SPJ2

Answer:

  9 plates

Step-by-step explanation:

The number of plates Kyle can make is the GCF of 9 and 18. Since 9 is a factor of 18, that GCF is 9.

Kyle can make 9 plates, each containing 1 avocado roll and 2 cucumber rolls.

Answer:

The second one:

x 2-2 3-3

y 5 5 7 7

Step-by-step explanation:

Each domain value or x can only have one range, y, so, with that said, the second one is the answer.

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5

Answer:

2/5 × 3/2

Step-by-step explanation:

Answer:

yooo i got the new rank im now expert :0

Step-by-step explanation:

XD

Answer:

= 5l. 66 in^3

Step-by-step explanation:

Area of cross section (A) = 1/2×b×h

=1/2 ×3.5×4.1

=7.175

Volume =AXH

= 7.175× 7.2

= 5l. 66 in^3

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

Answer:

17.08

Step-by-step explanation:

When it reaches its maximum, suppose that y = 0

Therefore you will need to factorise and solve

-16x^2 + 267 x + 107 = 0

Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]

Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question

Because -0.39 is negative, this answer can be deleted

Leacing x = 17.08 seconds