Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?

Answer:

V =128 pi

Step-by-step explanation:

The volume of the cylinder is given by

V = pi r^ h

V = pi 4^2 *8

V = pi *16*8

V =128 pi

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

Answer:

1 : 12

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

24/2 = 12

1 : 12

Answer:

The x-intercept = -3/2

Step-by-step explanation:

Set y = 0 to find the x-intercepts;

=> y = 4x + 6

=> 0 = 4x + 6

=> 0 - 6 = 4x

=> -6 = 4x

=> -6/4 = x

=> -3/2 = x

Therefore the x-intercept = -3/2

Hope this helps!

Answer:

The dependent variable is y (the amount paid)

Step-by-step explanation:

Given

[tex]y = 5x[/tex]

Where

[tex]x \to[/tex] number of movies

[tex]y \to[/tex] amount paid

Required

The dependent variable

From the question, we have:

[tex]y = 5x[/tex]

This means that the value of y is determined by the value of x.

Take for instance:

[tex]x = 2[/tex]

The value of y will be:

[tex]y =5*2 = 10[/tex]

If x changes (say; x = 12), y will also change

[tex]y =5*12 = 60[/tex]

Hence, y is the dependent variable

Answer:

a. 5 loaves, b. 14 loaves

Step-by-step explanation:

a.8.50=2.50+1.20x

  6.00=1.20x

  5=x

5 loaves

b.20=2.50+1.20x

   17.50=1.20x

   14.6=x

14 loaves

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Answer:

No it cant

Step-by-step explanation:

You have to use the Pythagoras theorem which is a^2 + b^2 = c^2. So 9^2 + 11^2= 202. Then 17 is the hypotenuse so 17^2= 289. They are not equal so they are not.

Answer:

243

Step-by-step explanation:

formula is

Un = ar^n-1

U7 = ar^7-1

U7 =ar^6

U7 =1/3 ×3^6

where a=1/3 and r= 3

U=243

Answer:

11.25cm^2

Step-by-step explanation:

given the area of the rectangle as 40cm^2, we can get the width of the rectangle.

Area =Length x width

40cm^2 = 8cm x width

we can divide both sides 8 to be left with the width

40/8 = 5cm

so the width is 5cm which is equal to the height of the triangle.

Area of BDC = 1/2 x base x height

BDC = 1/2 x 4.5 x 5

=11.25cm^2

Answer:

The discount is $0.8d.

Step-by-step explanation:

Given that,

The original cost of Tamara's purchase is d dollars​.

Tamara uses a coupon to save 20% off her purchase at the bookstore.

Discount = 20%

Discount is applied to the original cost.

Discount = d-(20/100)d

Discount = 0.8 d

Hence, the discount is $0.8d.

Answer:

Step-by-step explanation:

∠EMC  = ∠EMD + ∠DMC

∠EMC = 90

∠EMD + ∠DMC = 90

∠EMD + 20 =90

∠EMD  = 90 - 20

∠EMD  = 70

∠FMD + ∠DMB = 180  {Linear pair}

90 + ∠DMB = 180

        ∠DMB = 180 - 90

       ∠DMB = 90

Answer:

the mode is found by how much of the same number there is making the mode 1

the average is found by adding up all of it and dividing it by how many there is making it 4.2 if you need to round it, tha anwser is 4

Answer:

Step-by-step explanation:

25 x 6/5 = 30

Answer:

:)

Step-by-step explanation:

[tex]M = 3x^2y^3-4xy +x^3y\\\\2M = 2 \times (3x^2y^3-4xy +x^3y) \\\\[/tex]

      [tex]= 6x^2y^3 - 8xy + 2x^3y[/tex]

[tex]N = -2x^3y + 6x^2y^3 -8xy -8[/tex]

   [tex]= 6x^2y^3 -8xy -2x^3y -8[/tex]                 [tex][ re-arranging \ the \ terms][/tex]

a)

[tex]2 M - N = ( 6x^2y^3 -8xy +2x^3y) - (6x^2y^3-8xy -2x^3y - 8)[/tex]

            [tex]= 6x^2y^3 - 8xy +2x^3y -6x^2y^3 +8xy +2x^3y + 8\\\\= 4x^3y +8[/tex]

b)

[tex]2M - N \ for \ x = -1 \ and \ y = 2: (4(-1)^3\times (2)) + 8 = -8 + 8 = 0[/tex]

Answer:

250×

Step-by-step explanation:

The ocular lens of the compound microscope is 10×

The objective lens of the compound microscope is 25×

Therefore the total magnification can be calculated as follows

= 10×25

= 250

Hence the total magnification of the compound microscope is 250×

Answer:

yuh?

and what help do you need from me?

im a math genius, thank you very much

:)

10.) x-23=-3x+5

x+3=5+23

4x=28

12.) -4ab+5-(-2ab + 3)

-4ab+5+2ab-3

13.) (-3)+(-5)

-3 -5

Answer:

It would be 1 or just w

Step-by-step explanation:

Answer:

20,100

Step-by-step explanation:

hundreds place is the third from the right

Answer:

20,100

Step-by-step explanation:

085 represents 0 hundreds, 8 tens and 5 ones.

That place keeper 0 is rounded  up to a 1 because the following '8' is greater than 5.

Thus, the desired rounded off number is 20,100.

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

$13.25

Step-by-step explanation:

Given data

Cost of game = $25

Markup= 6%

Let us find the total cost of the game

First, the markup cost

=6/100*25

=0.06*25

=$1.5

Now the total cost is

=25+1.5

=$26.5

So, each is expected to pay

=26.5/2

=$13.25

Answer:

[tex]85\:\mathrm{units^2}[/tex]

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:

[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]

Answer:

85

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.

Area of a square=side^2

So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.

For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.

Let's fill in the remaining values:

a^2 + b^2 = x^2

35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.

Answer:

range = 10

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

largest value = 12

smallest value = 2

range = 12 - 2 = 10

Answer:y< 3x + 12

y> 5x + 7

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

< W = <V            Given

WV = 8              Given

XV = 13              Given

Find XW

In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.

In sort XV = 13. < V = <W   XW = 13

Answer:

I think it is 4

I am not sure about it

Answer:

$5.50

Step-by-step explanation:

10 - 4.50 = 5.50