Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Short answer yes its true

Answer:

y+5 = 2x

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -5 = 2(x-0)

y+5 = 2x

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

Answer:

411

Step-by-step explanation:

Take the total amount earned and divide by the price per piece to determine the number of pieces made

291.81/ .71 =411

He made 411 pieces

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Answer:

B

Step-by-step explanation:

Square root of 3 is between 1 and 2

1^2 =1

(sqrt(3)) ^2 =3

2^2 = 4

So it must be point B

Answer:

B

Step-by-step explanation:

d: -5_<x<1

r: -4_<y<7

D: negative five is less than or equal to x is less than one

R: negative four is less than or equal to y is less than seven

Answer:

The bus will travel 20km within 15 minutes

Step-by-step explanation:

Answer: 20 km

Step-by-step explanation:

Distance = speed / time

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Answer:

0.064 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is the width multiplied by the height multiplied by the length. In this case, all of those dimensions are 2/5, meaning that the volume is:

[tex]\dfrac{2}{5}\times\dfrac{2}{5}\times\dfrac{2}{5}=\dfrac{8}{125}=0.064[/tex]

Hope this helps!

Answer: -2y -8x = 4

Step-by-step explanation:

y - 6x - 11 - 2x - 3y = -7

y -3y -6x -2x = -7 +11

-2y -8x = 4

Answer: YOUR ANSWER IS -3

Step-by-step explanation:

4y + 4 = -8

     -4     -4

___________

4y = -12

Divide -12 by 4

Y = -3

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Answer:

[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]

C is your answer

Step-by-step explanation:

[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]

Answer:

-22 1/2

Step-by-step explanation:

-2 1/2 *s

Let s = 9

-2 1/2 (9)

Change to an improper fraction

-5/2 *9

-45/2

Change back to a mixed number

-22 1/2

Answer:

C. Divide both sides by 26

Step-by-step explanation:

A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.

Answer: 6.452cm.

As 1 decimal place it would be 6.5cm.

Answer:

6.9 cm

Step-by-step explanation:

a^2 + b^2 =C^2

a^2 + b^2 = 8^2

6.9^2 +4^2 =64

47.61 + 16 = 64

47.61  about 48

Answer:

the answer is A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

→ Use trigonometry to find x, we have no hypotenuse so we utilise the TOA formula

TOA = Tan = Opposite ÷ Adjacent

→ The opposite of the triangle is 8√3 and we want to find the adjacent of this triangle so we rearrange

Opposite ÷ Tan

→ Substitute in the values

8√3 ÷ tan(60) = 8

Answer:

Step-by-step explanation:

Acceleration is defined as the change in velocity of a body with respect to time.

Acceleration = velocity/time

Given velocity of the space shuttle = 525m/s and time = 18.0seconds

Its average acceleration = 525/18

Its average acceleration (in m/s²) = 29.17m/s²

Answer:

33 hours

Step-by-step explanation:

Take the distance and divide by the rate to get the time

1650/50 = the number of hours

33 hours

Answer:

33 hours

Step-by-step explanation:

mph stands for miles per hour

So, 1650/50=33, which finds how long in hours

So, if your speeds stays constant it should take 33 hours

Answer:

The second one

Step-by-step explanation:

Step-by-step explanation:

The starting amount is the coefficient of the exponent which is 595.

The growth factor is 1.075 and the growth rate would be 7.5%.

There are 2 factors in the equation.