A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. You draw the first marble, return it to the box and draw a second marble. What is P(both marbles are orange)?

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{1}{5}-\frac{3}{4}[/tex]

Determining the difference of the fractions

[tex]\frac{1}{5}-\frac{3}{4}[/tex]

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]

Apply the fraction rule:  [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

          [tex]=\frac{4-15}{20}[/tex]

Add the number: 4-15 = -11

           [tex]=\frac{-11}{20}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]

            [tex]=-\frac{11}{20}[/tex]

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]

x − 3 = 6 − 2 x = − 8 √ x = 3

Answer:

A

Step-by-step explanation:

Though i am unable to attach an image of the question here. However, i will do my best to explain quite well.

The densities of the liquids are;

A - 13.6 g/ml

B- 0.8 g/ml

C- 1.0 g/ml

The most dense liquids will be found at the bottom while the least dense liquid is topmost liquid. This implies that A will be found at the bottom followed by C and finally B.

Answer:

-3.3

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

x-10=-4      (Distribute)

x=6             (Inverse operations {Add 10 on both sides} )

X=6

Answer:

4b=x3(76)+10

Step-by-step explanation:

Answer

144

Step-by-step explanation:

12*12=144?

x=12

x=12

then what?

Answer:

x = 5

Step-by-step explanation:

3x + 6 = 21

3x = 21 - 6

3x/3 = 15/3

x = 5

Answer:for m find the difference between y and x and for b add all of them up

Step-by-step explanation:

Answer:

subtraction

Step-by-step explanation:

b= 40 - 5

40- 5 =35

b=40

Answer:

addition

Step-by-step explanation:

a. The equation that both services would cost the same is

0.25x + 5 = 0.35x + 2.

b. The weight of Mr. Molinary's package is 30 ounces.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.

United Packages charges $2 plus $0.35 per ounce.

Assuming the no. of ounces to be x.

∴ 0.25x + 5 = 0.35x + 2.

0.25x - 0.35x = 2 - 5.

- 0.1x = - 3.

x = 3/0.1

x = 30 ounces.

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Answer:

I think it's A

Step-by-step explanation:

Answer:

It might just be me but the pic is super blurry could you possibly get a better one?

Step-by-step explanation:

Answer:

3 is the answer ####%%##

Answer:

35 cm

Step-by-step explanation:

Diameter of small pizza = 16

Let Diameter of large pizza = x

Diameter of small pizza = 2/5(x) + 2

2/5(x) + 2 = 16

(2x / 5) + 2 = 16

2x / 5 = 16 - 2

2x / 5 = 14

multiply both sides by 5

2x = 14 * 5

2x = 70

Divide both sides by 2

x = 70/2

x = 35

Diameter of large pizza = 35 mm

Answer:

b) The average speed at which he travelled for the whole journey

Step-by-step explanation:

If he had travel 200- km/h and had broke down by which was at 10:30 a.m  you would have to subtract 200 km/h to 10:30  your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The table and the given points on the coordinate plane provide information about the relationship between the number of hours of

pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.

The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:

y - y_1 = m (x - x_1),

where m is the slope and (x_1, y_1) is a point on the line.

Using the two given points, we have:

m = (y_2 - y_1)/(x_2 - x_1)

= (5 - 1.25)/(4 - 1)

= 1.25

y - 1.25 = 1.25 (x - 1)

y = 1.25x - 0.75

This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.

Therefore,

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

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Answer:

The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit.    or 1,3,5

Answer:

36.48$

48x24/100=11.52

48-11.52=36.48

Answer:

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

Answer:

a. Geometric

b. 20, 10 and 5

c. Tn = 20(0.5)^n-1

d. 0.00004 ft

Step-by-step explanation:

a. The sequence is geometric

The reason for this is that we will be multiplying each term by a particular value

If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number

b. 1st term is

20

second term

1/2 * 20 = 10

Third term

1/2 * 10 = 5

c. Explicit formula

Mathematically, that will be;

Tn = ar^n-1

Where r is 1/2 or 0.5

Tn = a(0.5)^n-1

where Tn is the present term and n is the present number of the term

d. 20th term

T20 = 20 * 0.5^19

T20 = 0.00004 ft

Answer:

m=3

Step-by-step explanation:

rise/run or y/x

using the y coords/x coords

15-0/-3-(-8)

=15/-3+8

=15/5

=3

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

Answer:

A person's age and height

Step-by-step explanation:

Required

Select which do not represent proportionality

Proportionality exists when a unit rate can be calculated.

For instance:

- If 2 litres of gas is $2, then the unit rate is $1 per litre

- If an employee is paid $100 for 5 days, then the unit rate is $20 daily

- If 5 movie tickets cost $50, then the unit rate is $10 per movie

The above scenario are used to describe options (2 - 4) because they can be expressed in unit rates.

However, this is not the same for age and height because age is not a function of height and height is not a function of age. In other words, they can not be expressed in proportions.

So, option (a) is not a situation of proportionality.

Answer:

The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Step-by-step explanation:

We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.

In other words, the rule is:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.

Considering the point

Let us reflect the point A(2, 3) across the y-axis.

We know the rule:

P(x, y) → P'(-x, y)

so

A(2, 3) → A'(-2, 3)

Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Answer:

in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair

Step-by-step explanation:

that is in my opinion

Answer:

Answer of this equation is (x-2)^2/ (X+3)^2

Step-by-step explanation:

x^2-4/X+3 × x-2/ x^2+5x+6

(X+2)(x-2) / X+3 × x-2/ x^2+(2+3)X+6

(X+2)(x-2)/X+3 × x-2/(X+2)(X+3)

(x-2)(x-2)/(X+3)(X+3)

(x-2)^2/(X+3)^2