You enter a lottery where you select 5 numbers from 1 - 30 without duplicating numbers.

How many possible combinations of numbers are there?

Answer:

D(16)

Step-by-step explanation:

2/3x-5=1/6x+3

Multiply on both sides by 6

4x-30=x+18

Change its sign and move the variable to the left hand side

4x-x-30=18

4x-30=x+18

4x-x=18+30

3x=18+30

Add the numbers

3x=48

Divide both sides

x=16

Answer:

The answer is 6.8

Step-by-step explanation:

Check on your calculator 6.8^2 equals 46

Answer:

h=9/8 or 1.125 but since yo said round it's 1.13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2bh

since b = 10in and height = 6in

then

1/2 x 10 x 6

= 30

Answer:

Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30

Answer:

20 stacks of 5 pennies weight 0.33 pounds

Step-by-step explanation:

First, we need to calculate the weight in kilograms of 20 stacks of 5 pennies:

20 stacks= 0.0075*20

20 stacks= 0.15 kg

Now, we can determine the weight in pounds:

1kg = 2.2 pounds

0.15kg = ?

Weight in pounds= (0.15*2.2)/1

Weight in pounds= 0.33 pounds

20 stacks of 5 pennies weight 0.33 pounds

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Square root both sides to get radius

r=16 feet

7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square​ feet

What information do we have?

Area of watering pattern = 907.46 square​ feet

Area of watering pattern = Area of circle

Area of watering pattern = πr²

907.46 = (3.14)r²

r² = 289

r = 17

Length = 17 feet

Find out more information about 'Area'.

https://brainly.com/question/11952845?referrer=searchResults

Step-by-step explanation:

40, 58, 58, 72, 74, 74, 76, 81,  83, 84, 92

1      2    3   4        5     6      5     4   3    2   1

1) A. 74

2) B. 40

3) A. 92

4) A. 58

Brainlist pls!

Answer: p = - 6y - 2x + 8

Step-by-step explanation:

p = 2l + 2w

p = 2(4+5y-3x) + 2(2x - 8y​)

p = 8 + 10y - 6x + 4x- 16y

p = - 6y - 2x + 8

Answer:

P=-2x-6y+8 i believe

Step-by-step explanation:

P= 2(4+5y-3x) + 2(2x-8y)

P= 8+10y-6x +4x-16y

=8+10y+−6x+4x+−16y

=(−6x+4x)+(10y+−16y)+(8)

=−2x−6y+8

Answer:

Each algebra book costs $60.

Step-by-step explanation:

A=bill for algebra books; S=bill for science books=A+$360

S+A=$3960 Substitute for S

A+$360+A=$3960 Subtract $360 from each side.

2A=$3600 Divide each side by 2.

A=$1800 The order for 30 algebra books cost $1800.

Individual book=A/30

individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

Answer:

1)

Step-by-step explanation:

In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.

Answer: 1)

The graph option 1) is the correct answer.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x = 2

We see x intercept is 2 and there is no y intercept,

We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.

In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.

Hence, The graph option 1) is the correct answer.

For more references on equations, click;

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Answer:

A. 6x^{2}+6y^{2}=144

Step-by-step explanation:

Answer:

C≈18.85

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

9) 21

10) 24

11) 14.6

Step-by-step explanation:

Literally just add up all the sides.

Answer:   5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.

5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

s it will be just know the right

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Answer:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Step-by-step explanation:

I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.

I'm going to start with the left hand side and see if I can turn it into the right hand side.

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

I'm going to use a cofunction identity for the 2nd term.

This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.

[tex]\cot(x)+\tan(x)[/tex]

I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.

I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]

So we have:

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:

[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.

That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].

So since I want one term I'm going to write as a single fraction first:

[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]

Find a common denominator which is [tex]\cos(x)[/tex]:

[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]

[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]

By  the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:

[tex]\frac{1}{\cos(x)}[/tex]

By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:

[tex]\sec(x)[/tex]

By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:

[tex]\csc(\frac{\pi}{2}-x)[/tex]

Let's just do it all together without all the words now:

[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]

[tex]\cot(x)+\tan(x)[/tex]

[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]

[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]

[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]

[tex]\csc(x)[\sec(x)][/tex]

[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]

[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]

Answer:

$61.59

Step-by-step explanation:

1 shirt = $20.53

3 shirts x $20.53 = $61.59

to check:

$61.59 ÷ 3 shirts = $20.53 each

Answer:

600

Step-by-step explanation:

6 percent of 5000 is 300. 300x2=600.

Sorry if im wrong

Answer:

Step-by-step explanation:

660

Answer:

660 pounds

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

Answer:

Step-by-step explanation:

[tex] \frac{8}{32} = \frac{4}{16} = \frac{2}{8} = \frac{1}{4} [/tex]

[tex] \frac{27}{54} = \frac{9 }{18} = \frac{3}{6} = \frac{1}{2} [/tex]

[tex] \frac{36}{24} = \frac{18}{12} = \frac{9}{6} = \frac{3}{2} [/tex]

[tex] \frac{30}{60} = \frac{15}{30} = \frac{5}{10} = \frac{1}{2} [/tex]

Answer:

volume of hexagonal prism = area of base * perpendicular height

Step-by-step explanation: