To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?

Answer:

7a-5=2a -15

7a-2a=-15+5

5a=-10

5a/5=-10/5

a=-2

Let us find the length of rope Jules will need using the pythagoras theorem .

Width of the moat ( let the moat be the base of this triangle ) = 14 foot

Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet

Then the length of rope needed ( hypotenuse ) =

= Let us name the triangle that is formed as △ ABC . Then ;

In △ ABC :

AB = the width of moat ( leg of triangle ) = 14 foot

BC = The distance from the window to the moat ( base ) = 20 feet

AC = Length of rope needed ( hypotenuse ) =

= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )

= 14² + 20² = AC²

= 196 + 400 = AC²

= 596 = AC²

= 24 × 24 = AC × AC

= 24 foot = AC = length of rope needed by jules .

Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

Answer:

A. 31 cm

Step-by-step explanation:

Hopefully its right :)

√-72 = √(i^2) 9*8 = 3i√8 = 3i√2^3 = 3i*2√2 =6i√2

Answer is D. 6i√2

Answer:

2x-3 =  29

8x = 128

x+7 =  23

Step-by-step explanation:

The sum of the angles of a triangle is 180

2x-3 + 8x+ x+7 = 180

Combine like terms

11x+4 = 180

Subtract 4 from each side

11x+4-4= 180-4

11x = 176

Divide by 11

11x/11 =176/11

x =16

2x-3 = 2*16-3 =32-3 = 29

8x = 8*16 =128

x+7 = 16+7 = 23

Answer:

10.4 meters per second

Answer:

0.7 and 0.07

Step-by-step explanation:

Answer:

0 because if all the mice ran away then they would be gone

Answer:

7 3/4

Step-by-step explanation:

4 1/8 + 3 5/8

Add the whole numbers, 4 + 3 = 7.

Add the fractions, 1/8 + 5/8 = 6/8.

You get 7 6/8. Simplify 6/8 to get 3/4.

Your answer is 7 3/4.

Answer: 2 minutes

Step-by-step explanation:

According to the book, ''Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin'', on average, everyone picks their noses for 2 minutes each day.

This figure is simply a reasonable compromise between the least and highest amount of time that people can spend picking their nose in a day as well as the assumption that everyone does it.

Answer:

35 failed and 140 passed

Step-by-step explanation:

Let  p = number who passed

f = number who failed

p+f = 175

4 times the number of students passed as failed, so we need to balance this to set it equal

4f = p

Substitute this into the first equation

4r+f = 175

5f = 175

5f/5 =175/5

f = 35

Now find the number who passed

p = 4f

p = 4*35

p =140

Answer:

108

Step-by-step explanation:

4−22+135−9

=−18+135−9

=117−9

=108

It's easier to eliminate x because when you add both equations -4x +4x would be zero

Answer:

Step-by-step explanation:

Function f, with

Slope-intercept formula

So the function is

Answer:

Your answer would be 15

Step-by-step explanation:

The first step you are going to want to do is multiply 2 and 30

30×2=60

Then you are going to divide 60 by 12

60÷12=5

Last you wanna add the 5 and the 10

5+10=15

Answer:

253 .....is that it??

Step-by-step explanation:

Answer:

253!

Step-by-step explanation:

Answer:

(1,-4)

Step-by-step explanation:

If you reflect it over the x it would equal (-1,-4), then if you reflect it over the y it would equal (1,-4)

Answer:

y=−2x+4

Step-by-step explanation:

Let's solve for y.

2y+4x=8

Step 1: Add -4x to both sides.

4x+2y+−4x=8+−4x

2y=−4x+8

Step 2: Divide both sides by 2.

2y/2=

(−4x+8)/2

y=−2x+4

Answer:

y=−2x+4

Answer:

8.2/10

Step-by-step explanation:

Answer:

42/50

Step-by-step explanation:

Answer:

48 students

Step-by-step explanation:

Represent algebra with A and physics with P

Given

Total = 50

n(A) = 39

n(P) = 16

n(Both) = 7

Required

Determine students taking Algebra or Physics

This is calculated using

n(A or P) = n(A) + n(P) - n(Both)

n(A or P) = 39 + 16 - 7

n(A or P) = 48

A total of 48 students are enrolled in either physics or algebra.

Number of students taking algebra n(A)= 39

Number of students taking physics n(B)= 16

Number of students taking both subjects n(A∩B)= 7

So, the number of students taking either physics or algebra will be the union of sets i.e. n(A∪B)

The union of two sets is a set containing all elements that are in A or in B (possibly both).

As we know,

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 39+16-7

n(A∪B) = 48

Therefore, A total of 48 students are enrolled in either physics or algebra.

To get more about set theory visit:

https://brainly.com/question/13458417

Answer:

2.79 kilometers

Step-by-step explanation:

4.5/1.61

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

the one of the given point falls to same area ;

Answer:

2239.92

Step-by-step explanation:

22.95 x 97.6           is how i solved this.

Answer:

the awnser is c then pust reset and it will give you the awnser

Answer:

3890000000

Step-by-step explanation:

Answer: $5

Step-by-step explanation: $75 divided by 15 burgers is $5 per burger

Answer:

5

Step-by-step explanation:

we paid $75 for 15 hamburgers.

so 15 hamburges = $75

so 1 hamburges = 75/15 =$5

therefore ,The rate per hamburger is $5

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks