What is the sum?

46 mins left please help!!!!!

9514 1404 393

Answer:

  y = 1/3w -1/6x

Step-by-step explanation:

Subtract the terms not containing y, then divide by the coefficient of y.

  [tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]

Answer:

The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.

Step-by-step explanation:

Vectorially speaking, the dilation of a vector with respect to a given point is defined by the following formula:

[tex]P'(x,y) = O(x,y) + r\cdot [P(x,y)-O(x,y)][/tex], [tex]r > 1[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]P(x,y) = (-3, 4)[/tex], [tex]Q(x,y) = (-8,3)[/tex], [tex]R(x,y) = (-1,-6)[/tex] and [tex]r = 8[/tex], then the new coordinates of the triangle are, respectively:

[tex]P'(x,y) = (0,0) + 8\cdot [(-3,4)-(0,0)][/tex]

[tex]P'(x,y) = (-24, 32)[/tex]

[tex]Q'(x,y) = (0,0) + 8\cdot [(-8,3)-(0,0)][/tex]

[tex]Q'(x,y) = (-64, 24)[/tex]

[tex]R'(x,y) = (0,0) + 8\cdot [(-1,-6)-(0,0)][/tex]

[tex]R'(x,y) = (-8,-48)[/tex]

The coordinates of points P', Q' and R' are (-24, 32), (-64, 24) and (-8,-48), respectively.

Answer:

(-24, 32), (-64, 24) and (-8,-48)

Step-by-step explanation:

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

[tex]7.5x + 6y = 525[/tex]

Since [tex]x = 80 - y[/tex]

[tex]7.5(80 - y) + 6y = 525[/tex]

[tex]600 - 7.5y + 6y = 525[/tex]

[tex]1.5y = 75[/tex]

[tex]y = \frac{75}{1.5} = 50[/tex]

[tex]x = 80 - y = 80 - 50 = 30[/tex]

They sold 30 adult tickets and 50 kids tickets.

Answer:

80

Step-by-step explanation:

104:52 = 2:1 = 2 pounds per (1) week

40 × 2 = 80

Answer:

X > 2

Step-by-step explanation:

Answer:

The answer is 75 degrees

Step-by-step explanation:

All triangles interior angles will at up to 180. 52.5+52.5= 105. 180-105= 75 degrees.

Answer:

uhm I don't know this one.

Step-by-step explanation:

Answer:

The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.

Step-by-step explanation:

Formula

Area of a triangle

A = 1/2bh

Area of a rectangle  

A = lw

Surface area of triangular prism  

SA = bh + (s1 + s2 + s3)H

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Answer:

c

Step-by-step explanation:

The true statement is (d) The expected height of 160 cm when the femur length has a length of 42.5 cm

From the given figure, we have:

So, when the y value is 160, the x value is:

The expected height of 160 cm when the femur length has a length of 42.5 cm

Hence, the true statement is (d)

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

The answer is 59in

Answer:

242 in^2

Step-by-step explanation:

Area of a rectangle is length x width.

Area of rectangle:  24 in x 7 in = 168 in^2

Area of a trapezoid is 1/2(height)(base 1 + base 2)

Area of the trapezoid on top is 1/2(4)(13+24) = 2(13 + 24) = 2(37) = 74.

The total are is 168 + 74 = 242 in^2

Answer:

5

Step-by-step explanation:

|x+3| when x = 2 is |2+3| = |5| = 5

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number.

it should either a or b

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

Answer 22:-

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180°

=> x = 180° - 118°

=> x = 62°

Answer 22:-

2x + 1 + 71 = 180

=> 2x = 180 - 72  

=> 2x = 108

=> x = 54°

Answer:

C

Step-by-step explanation:

the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time

we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)

substitute that value into the formula to get:

A=2000(1+rt)

we also know the rate, which is 5% and the time, which is 18

5%=0.05 (we need it as a decimal)

so substituting the values into the equation:

A=2000(1+0.05*18)

A=2000(1+0.9)

A=2000(1.9)

A=3,800

therefore the answer is C

Hope this helps!

Answer:

Step-by-step explanation:

just pick three values (numbers)  into the function and calculate the other unknown

You can pick an X or you can pick a Y, then solve for Y or X respectively.

Record these x,y pairs in the table

once you have at least two points you can graph the function

           y = mx + b     y-intercept form of the line function

                                  m = slope    b is the value of y when x = 0

   y = -5x/2 -5      let x = 0      solve for y

   y = -5(0)/2 -5

   y =    0 - 5

   y = -5

  y = -5x/2 -5                          solve for x            

  y + 5 = -5x/2 - 5 + 5             add 5 to both sides

  y + 5 = - 5x/2

 (y +5 )(-2/5)  = (-5x/2) (-2/5)

 (y +5 )(-2/5)  = x       let y = 0    

(0) +5)(-2/5)  = x

      5(-2/5)  = x

           -2   =  x

I'll let you have the third variable to pick  and solve for the dependent variable.  The dependent variable is just wha it sounds like, it is dependent on which ever independent (the value you randomly pick) variable.

Pick either x or y then solve for y or x

  y = -5x/2 -5              solve for y

  x = (-2/5) (y +5)        solve for x

Answer: 54 cm²

Step-by-step explanation:

To find the area we have to:

1) Multiply 3 x 3= 9 (we do this because a cube has equal sides so if the height is 3 then the base will be 3).

2) Then take 9 and multiply it by the number of sides of a cube (6 sides)

so, do 9 x 6 = 54cm²

Hope that helped! :)

Answer:

54 cm^3

Step-by-step explanation:

here's your solution

==> surface area of cube = 6a^2

==> a = 3 cm

==> surface area = 6*3^2

==> surface area = 6*9

==> surface area of cube = 54 cm^3

hope it helps

Answer:21/64

Step-by-step explanation:

Do 3*7 to get 21

And 8*8 to get 64.

To multiply fractions you multiply the denominators together and then the numerators together

Distance = speed x time

Distance = 240 x 3 = 720 miles

Answer:

henry doesn't travel but plane travel

Step-by-step explanation:

Answer:

She bought _20___ shares at $19 and _80__ shares at $24.

Step-by-step explanation:

x + y = 100

19x + 24y = 2300

-19x - 19y = -1900

5y = 400

y = 80

x + 80 = 100

x = 20

She bought _20___ shares at $19 and _80__ shares at $24.

Answer:

[tex]2\frac{2}{3}[/tex] cubic blocks

Step-by-step explanation:

The given parameters are:

[tex]Length = \frac{1}{2}yd[/tex]

[tex]Width = 16yd[/tex]

[tex]Height =\frac{1}{3}yd[/tex]

Required

Number of cubic blocks to fill the tank

To do this, we simply calculate the volume of the tank by:

[tex]Volume = Length * Width * Height[/tex]

This gives:

[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]

[tex]Volume = \frac{16}{6}[/tex]

Simplify

[tex]Volume = \frac{8}{3}[/tex]

Express as mixed numbers

[tex]Volume = 2\frac{2}{3}yd^3[/tex]

Answer:

To find the radius, just take half of the diameter. The answer is 2.

Step-by-step explanation:

Semicircle Area and Perimeter

Area (A)

6.2832in²

A = πr²/2 = 2 * π [in²] ≈ 6.2832 [in²]

Perimeter (L)

10.2832 in

L = πr + d = 2 * π + 4 [inch] ≈ 10.2832 [inch]

Hope this helped!!!

The radius of the semicircle is 2 kilometers.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

The diameter of a semicircle is 4 kilometers.

Then the radius of the semicircle,

= diameter / 2

= 4/2

= 2 kilometers.

Therefore, the radius is 2 kilometers.

To learn more about the diameter;

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Answer:

0.51 seconds

Step-by-step explanation:

49.55 - 49.06 = 0.51 seconds

Answer:

x=-2,-3

Step-by-step explanation:

x^2+5x+6=0

(x+2)(x+3)=0

x+2=0

x=-2

x+3=0

x=-3

Answer:

h=63.7t+127.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The next number is 110

Answer:

[tex]\frac{27}{8}[/tex]

Step-by-step explanation:

[tex]\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}[/tex]

[tex]=\frac{2^{-3} }{3^{-3} }[/tex]

[tex]=\frac{\frac{1}{8}}{\frac{1}{27}}[/tex]

[tex]=\frac{1*27}{8*1}[/tex]

[tex]=\frac{27}{8}[/tex]