1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5

Answer:

h=63.7t+127.4

Step-by-step explanation:

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]

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: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

Answer:

12) 2.5

the height then is 2.5.

Step-by-step explanation:

42.9/3.3 = 13

32.5/13 = 2.5

Have a nice day!

Answer:

A is what i got but i could of done the math wrong sorry

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:

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:

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:

I don’t really know but ill go with 21

Step-by-step explanation:

For some reason

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 difference of m and 5 is graeter than 10

Answer:

5in by 7in

Step-by-step explanation:

2*(l+w)= 24 => l+w= 12

Le= 35

It is easy to see that 35=5*7 and 12= 5+7

So 5 and 7 are the dimensions of the card

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

Hope it helps... Please mark as the Brainliest!!!

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:

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:

uhm I don't know this one.

Step-by-step explanation:

Answer:

First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.

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:

area = 68 ft²

Step-by-step explanation:

area = 1/2(b1 + b2)(h) = 1/2(9 + 8)(8) = 68 ft²

Answer:

68

Step-by-step explanation:

First find the internal square area (64) then calculate the outer triangles (2 each) to get 68 plz thx, 5 str and mark brainliest

Answer:

31.6%

6.67%

14.3%

Step-by-step explanation:

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:

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:

[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:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52