A jar contains 50 marbles, 21 are blue, 15 are yellow, and the rest are red. What is the probability that you pick out a blue marble?

Answer:

5m +5

Step-by-step explanation:

5(-8m - 4) + (-5)(-9m - 5)

Distribute

-40m -20 +45m +25

Combine like terms

-40m+45m -20+25

5m +5

Answer:

25x

Step-by-step explanation:

Perimeter is all sides added up

Answer:

a) 2

b) [tex]\frac{4x}{y}[/tex]

Step-by-step explanation:

a) [tex]\frac{\sqrt{500} }{\sqrt{5} }[/tex]

We can rewrite 500 as 100*5 and 100 is [tex]10^2[/tex] causing the 10 to come out of the root.

[tex]\frac{10\sqrt{5} }{\sqrt{5} }[/tex]

Rationalize.

[tex]\frac{10\sqrt{5} }{\sqrt{5} }*\frac{\sqrt{5} }{\sqrt{5} } =\frac{10}{5}=2[/tex]

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b) [tex]\frac{\sqrt{48x^3} }{\sqrt{3xy^2} }[/tex]

48 can be rewritten as 6*8 and 8 can be rewritten as [tex]2^2*2[/tex]

[tex]\frac{\sqrt{6*2^2*2x^3} }{\sqrt{3xy^2} }[/tex]

[tex]\frac{2\sqrt{6*2x^3} }{\sqrt{3xy^2} }[/tex]

[tex]\frac{2\sqrt{12x^3} }{\sqrt{3xy^2} }[/tex]

12 can be rewritten as 4*3 and 4 can be rewritten as [tex]2^2[/tex]

[tex]\frac{2\sqrt{2^2*3x^3} }{\sqrt{3xy^2} }[/tex]

[tex]\frac{2*2\sqrt{3x^3} }{\sqrt{3xy^2} }[/tex]

[tex]\frac{4\sqrt{3x^3} }{\sqrt{3xy^2} }[/tex]

[tex]x^3[/tex] is the same as [tex]x^2*x[/tex] causing x to come out of the root, as well as y.

[tex]\frac{4x\sqrt{3x} }{y\sqrt{3x} }[/tex]

Rationalize

[tex]\frac{4x\sqrt{3x} }{y\sqrt{3x} }*\frac{\sqrt{3x} }{\sqrt{3x} } =\frac{4x*3x}{y*3x} =\frac{12x^2}{3xy}=\frac{4x}{y}[/tex]

Answer:

C 4 /x^2

Step-by-step explanation:

20x / 5x^3

First divide the numbers

20/5 = 4

Then divide the variable

x/x^3  = x/ xxx  = 1/ xx  = 1/x^2

We are left with

4/x^2

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

The number of money that should be raised should be £1481.

Here first we find the cumulative frequency of the child tickets. So it is 58

Now the money should be

= 58(12.50)

= 725

Now the work out the no of adults should be

= 100 - 58

= 42

Now

= 42(18)

= 756

Now the total price should be

= 725+756

=£1481

Hence, The number of money that should be raised should be £1481.

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Answer:

x+5/x+3

Step-by-step explanation:

135 gallons of water in the aquarium after 45 minutes of draining.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that water is draining from an aquarium at a rate of 3 gallons per minute.

The total change in the amount of water in the aquarium after 45 minutes of draining is as:

⇒ 45×3

Apply the multiplication operation in the integers,

⇒ 135 gallons

Hence, 135 gallons of water in the aquarium after 45 minutes of draining.

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Answer:

y = 3x

Step-by-step explanation:

sorry cant do the graph

Answer:

Diagonal one is multiplied by 4

Step-by-step explanation:

area = dia 1 * dia2 / 2

area/8 = dia1/x * dia2/2   / 2

->x = 4

Answer:

A - school certificates

B - college degrees

So 30 - (10 + 8 + 2) = 10 have no qualification

Answer:

20 km less than the first car

Step-by-step explanation:

Answer:

18a) The height of tree is 6.34ft.

Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.

b) 11.54 degree

Step-by-step explanation:

18a) sin(25) = 0.4226182617 is what you multiply to check the height.

15 x 0.4226182617 = 6.339273926   = 6.34ft.

Using the measurements of pythagoras you can scale each measurement above.  6.34 = (x0.5) = 3.17cm to draw the trees height.

15ft wire = scale the diagram draw  1cm = 2ft So that 7.5cm =  = 15ft

Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.

This will make a 7.5cm slope and label it 15ft.

We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.

We find the base measurement by finding the square of each 15 and 6.34

c^2 - a^2 = b^2

a= 6.34 x 6.34 = 40.1863939089 = √40.19

c = 15 x 15 =  √225

c-b = √225 - √40.19 =  √184.81

side = b  

b^2 = √184.81= 13.5944841756 = 13.59ft

18 b)  To find an angle x  with given measurements 4ft base and 20ft slope we  

use sin( base/slope) = (run/rise)

So that 4/20 = 0.2  

Then plug in for sin -1  0.2 = 11.54 degree = (calc ..11.53695903)

Notes;

If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise  but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).

Answer:

9π/4 - 4.5 unit^2.

Step-by-step explanation:

The are of the segment = area of the sector - area of the triangle.

Area of the sector = 1/4 * area of the circle

= 1/4 π 3^2

= 9π/4. unit^2

Area of the triangle

=  1/2 * 3 * 3

= 9/2 unit^2.

So the answer is 9π/4 - 4.5 unit^2.

Answer:

7 x10^6

Step-by-step explanation:

Answer: I hope this helps, I also used to have trouble with pythagorean therom

All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.

Step-by-step explanation:

I'm guessing that the therom you need help with is pythagorean therom

a^2+b^2=c^2

  Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.

a = side of right triangle

b = side of right triangle

c = hypotenuse -(longest side of the triangle)

The  length, width, and height of three-dimensional figures can be measured.

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges

The volume of a cuboid is the product of its length , width and height

The volume of the cuboid is given by

Volume of Cuboid = Length x Width x Height

Given data ,

Let the length of the cuboid be = L

Let the width of the cuboid be = W

Let the height of the cuboid be = H

Now , length, width, and height of three-dimensional figures can be measured.

Therefore, the correct options are D. length, E. height, and B. width.

Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.

Hence , the cuboid is a three-dimensional figure

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Answer:

top right

Step-by-step explanation:

linear function means straight line

The only function that is a straight line is  the top right

Answer:

Upper Right

Step-by-step explanation:

A linear function is a line

Answer:

r = 6

Step-by-step explanation:

Divide both sides by 7

Which is written like this:

42/7 = 7r/7

Which 42/7 = 6

and 7/7 = 1

=> 6 = r or r = 6

The solution to the equation 42 = 7r for r is r = 6

From the question, we have the following parameters that can be used in our computation:

42 = 7r

Rewrite the equation as

7r = 42

Multiply 1/7 to both sides of the equation

so, we have the following representation

1/7 * 7r = 42 * 1/7

Evaluate the products on the right hand side

This gives

1/7 * 7r = 6

Evaluate the products on the left hand side

This gives

r = 6

Rewrite as

r = 6

Hence. the solution is r = 6

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Answer:

16.1

Step-by-step explanation:

Answer:

40, 44, 44, 45, 47, 48

Step-by-step explanation:

The function to represent this situation is A = P( NR+1 ) and the amount in 2016 is $704.

"Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same".

For the given situation,

Principle, P = $200

Rate of interest, R = 7% = 0.07

Number of years from 1980 to 2016, N = 36

The total amount in 2016 can be modeled as the equation,

[tex]A=P(NR+1)[/tex]

⇒ [tex]A = 200[(36)(0.07)+1][/tex]

⇒ [tex]A=704[/tex]

Hence we can conclude that the function to represent this situation is     A = P( NR+1 ) and the amount in 2016 is $704.

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Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

Answer:

- 18x + 32

Step-by-step explanation:

Given

- 2x - 4(4x - 8) ← distribute parenthesis

= - 2x - 16x + 32 ← collect like terms

= - 18x + 32

Answer:

I think the answer is 169.65

Answer:54 pi

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Since this is an isosceles triangle, the angles at the bases of the identical legs must be equal

<A = <C

3x+40 =x+50

Subtract x from each side

3x-x+40 = x+50-x

2x +40 = 50

Subtract 40 from each side

2x+40-40=50-40

2x = 10

Divide each side by 2

2x/2=10/2

x = 5

We want to find <A

3x+40

3(5)+40

15+40

55

Answer:

You should test out with different objects in different places. But, I would be careful not to use anything that could break!

Answer: 25% maybe

100/4=25

Answer:

It would be 25%.

Step-by-step explanation:

Since there are four colors, the probability would be 25 out of 100. This can be turned into 1/4. therefore 1/4 equals 25.

Answer:

x = 4

Step-by-step explanation:

To answer that we put them into an equation

2.3x + 25 = 5.8x + 11

and Solve

2.3x + 25 - 25 = 5.8x + 11 - 25

2.3x = 5.8x - 14

2.3x - 5.8x = - 14

-3.5x = -14

Divide both sides by -3.5 and you get

x = 4