a bag contains 3 red marbles and 4 blue marbles.
a marble is taken at random from the bag and replaced.
another marble is taken from the bag.
work out the probability that the two marbles taken from the bag are the same colour.
give answer as a fraction.

Answer:

n = 12, p = 4

Step-by-step explanation:

Hi there!

n = notebook

p = pen

If we know that one notebook costs 8 dollars more than a pen,

we can set the equation for the cost of the pen as n - 8 = p. Now, we have to create an equation for the total cost. This could be represented as 4n + 2p = 56.

Let’s plug in that equation for the pen into our total cost equation.

This would become [tex]4n + 2(n-8) = 56[/tex]

Using distributive property, the equation becomes [tex]4n + 2n - 16 = 56[/tex]

After we combine like terms and add 16 to both sides, we find out that [tex]6n = 72[/tex] or n = 12

Now that we know the cost of the notebook, we can solve for the pen. Plug in 12 for the n values in the original equation [tex]4n + 2p = 56[/tex]

This leaves us with 48 + 2p = 56. Subtract 48 from both sides and then divide that by two to find p.

p = 4

I hope this helped!

Answer:

Cost of one notebook = $12

Cost of one pen = $4

Step-by-step explanation:

Let,

Cost of one notebook = x

Cost of one pen = y

According to given statement;

x = y+8    Eqn 1

4x+2y=56    Eqn 2

Putting value of x from Eqn 1 in Eqn 2

4(y+8)+2y=56

4y+32+2y=56

6y=56-32

6y=24

Dividing both sides by 6

[tex]\frac{6y}{6}=\frac{24}{6}[/tex]

y=4

Putting y=4 in Eqn 1

x = 4+8

x=12

Hence,

Cost of one notebook = $12

Cost of one pen = $4

Answer:  TVU is 51 degrees

Step-by-step explanation:  The pre-image and new image are formed via a translation which is basically sliding. A translation is a rigid transformation, which means it preserve angles measures and sides length. So when we translate these two figures they are congruent. Using that logic, Segment AB translate to TU which means TU is 25 cm. Angle B translate  to Angle U and Angle T was originally conguent to Angle A.

To find Angle V, we are going to use triangle interior angle theorem. 72+57+x=180

129+x=180

x=51

Answer:

After 4 months, the charges will be same.

Step-by-step explanation:

Membership charges of club one = $40

Per month charges = $40

Let,

x be the number of months

y be the total amount

y = 40x + 40

Membership charges of club two = $100

Per month charges = $25

y = 25x + 100

For equal charges, both equations will be same

40x + 40 = 25x + 100

40x - 25x = 100 - 40

15x = 60

[tex]\frac{15x}{15}=\frac{60}{15}\\x=4[/tex]

Therefore,

After 4 months, the charges will be same.

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

Step-by-step explanation:

plug y value :

10=1/2x+8

1/2x=2

x=4

Answer:

-6

Step-by-step explanation:

bc m and m are real numbers.

Answer:

25,16,121,49

5 is the sqaure root of 25 4 is the sqaure root of 16 11 is the square root of 121 and 7 is the square root of 49

50,145,20, and 8 do not have square roots.

Answer: 3

Step-by-step explanation: 2+1=3

Answer:

divide kinda

Step-by-step explanation:

so if its 60 on one side then it needs to have numbers on the other side that equal 60. do 60 divided by 5. every u is your answer (12). you add all the u's up to make them equal. u+u+u+u+u=60 or 12+12+12+12+12=60. Make both sides balanced.

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{BC}{DE}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Answer:

Dilation.

Step-by-step explanation:

From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .

Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.

But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.

Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".

Answer: D) dilation

Step-by-step explanation:

on edge

Answer:

I got 14 x -2

Step-by-step explanation:

to add all of the like terms you get:

2x + 7x + 5x = 14x

then add the other terms you get:

-6 + 4 = -2

when adding the two parts together you get:

14x -2

Am pretty sure this is right, sorry if its wrong

Answer: X=-3

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

Answer:

2)

(2x -5) + (x) + (2x - 3) = 32.

5x-8 = 32.

ii) 5x-8=32

5x= 32+8

5x = 40

x= 40/5

x = 8

iii) 2x -5

2 × 8 -5 = 11.

2x-3

2×8-3

16-3 = 13

x =8

sides of the triangle= 8, 11, 13.

Answer:

the answer is B

Step-by-step explanation:

hoped I helped:)

Answer: b)24+21

Step-by-step explanation: You have 3(8+7).So u do distributive property.

First do 3 times 8 =24 then d0 3 times 7 =21.Lastly add them together which is 24+21.

Hope it helps :)

Answer:

-1/2

Step-by-step explanation:

Use the formula m=y2-y1/x2-x1

m= -4 -1/3- -7

m= -4+-1/ 3++7

m=-5/10

m=-1/2

Answer:

2(a+2b+15)

Step-by-step explanation:

hope this helps!

Answer:

bvghb vbub b

Step-by-step explanation:

Step-by-step explanation:

question????

it ain't posted ;)

Answer:

all numbers greater than 7

all numbers less than 7

all numbers greater than and including 7

all numbers less than and includ

Step-by-step explanation:

Answer:

A I think

Step-by-step explanation:

Answer:

1 + 2i, 1 - 2i   are both correct answers in this scenario. Make sure to write both separated by a comma or it will be marked wrong! :) Good luck!

Answer:

the last one

Step-by-step explanation:

as you can see, all of the answers are different. b and c are the same, a and d are the same. but just switched around, but d is the answer since the numbers are switched, the letters didn't switch around. so it's the last one, the expressions are the same

Answer:

10 red pens

Step-by-step explanation:

Answer:

b=-8

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Function 1 has a slope of 1.

Function 2 has a slope of 1.1.

1.1 > 1, so Function 2 has a greater slope.

Function 2 :) im just that cool man

Answer:

perimeter=2(l+w)

2(2x+6 + 2x-5)

perimeter=2(2×12+6) +2×12-5)

2(30+19)

2(49)

p=98m