12x - 3y = -30 AND x = 2y - 6

Answer:

(3,5)

Step-by-step explanation:

For this equation, you need to solve it like simultaneous equations. Both of these have a 4y, so that is relatively easy to do, once you know how to.

The signs in front of the 4y are different, so you add the 2 equations (to remove the ys all together).

This should be (2x+-8x)+(-4y+4y)=(-14+-4), or (2x-8x)+(4y-4y)=(-14-4).

This can be expanded to -6x+0=-18, or -6x=-18.

Dividing both sides by -6 leaves you with x=3.

To find y, substitute this x value into either equation (I picked equation 1 as it is simpler). This gives you 2(3)-4y=-14, expanded to 6-4y=-14.

From there, you subtract the 6 from both sides, to get the y alone (giving -4y=-20).

By dividing both sides by -4, you get y=5.

This means the answer is (3,5).

**This question involves simultaneous equations, so you might want to look at that. I'm always happy to help!

Answer:

x = 50

Step-by-step explanation:

0.2x = 10

Divide each side by .2

0.2x/.2 = 10/.2

x =50

Answer:

Step-by-step explanation:

x=50

0.2 x 50 = 10

Answer:

6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.

[tex]x=2+½*\sqrt{10} [/tex]

or

[tex]x=2-½*\sqrt{10} [/tex]

Answer:

Solution given:

y=2x²-5x+6.....[1]

y=3x+3.........….[2]

solving equation 1&2

2x²-5x+6=3x+3

2x²-5x-3x+6-3=0

2x²-8x+3=0

comparing above equation with ax²+bx+c=0 we get

a=2

b=-8

c=3

by using quadratic equation

[tex]x=\frac{+8±\sqrt{(-8)²-4*2*3}}{2*2}[/tex]

[tex]x=\frac{+8±2\sqrt{10}}{4}[/tex]

taking positive

[tex]x=\frac{+8+2\sqrt{10}}{4}[/tex]

[tex]x=2+½*\sqrt{10} [/tex]

taking negative

[tex]x=2-½*\sqrt{10} [/tex]

Answer:

8p+102+4p+60 =90

12p+162-162 =90-162

12p. =-72

p =(-6)

CHT=8p+102

={8×(-6) }+102

=(-48)+102

=54

Answer:

AB ≈ 3.14 in

Step-by-step explanation:

arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{30}{360}[/tex]

     = 2π × 6 × [tex]\frac{1}{12}[/tex]

     = 12π × [tex]\frac{1}{12}[/tex]

     = π ≈ 3.14 in ( to the nearest hundredth )

Answer:

Step-by-step explanation:

Answer:

Carly will have to spend $7.25

Step-by-step explanation:

We know that:

1 pound of turkey = $5.80

To find how much 1.25 pounds of turkey will cost, multiply:

5.80 x 1.25 = 7.25

Therefore, 1.25 pounds of turkey will cost $7.25

I really hope this helps!

-SpaceMarsh

Answer:

The answer is "35,868,500 people".  

Step-by-step explanation:

In this question, the chance of people that have traveled above 50 miles is calculated. The chance of success is the probability.

[tex]n=50000\\\\ p=15595[/tex]

[tex]\to P(x\geq 50)=\frac{15595}{50000}=0.3119[/tex]

The population of the United States is at 1150000.

Let's determine that portion of the current population has gone more than 50 miles:

[tex]\to E(X)=np,N=115000000,p=0.3119\\\\=0.3119\times 115000000\\\\=35868500[/tex]

Answer:

there will be 176 seats in the 40th row

Answer:

12.3693169

Step-by-step explanation:

x^2+y^2=r^2

(12)^2=(3)^2=sqroot(153)

=12.3693169

Answer:

Subtract the area of the semicircle from the area of the rectangle

Step-by-step explanation:

Hi there!

1) Find the area of the rectangle

[tex]A=lw[/tex]

Plug in the given side lengths 10 and 8 and solve for the area of the rectangle. Disregard the semicircle.

2) Find the area of the semicircle

[tex]A=\pi r^2[/tex]

Divide 8 by 2 to find the radius and solve for the area of the circle. Divide this by 2 to represent the semicircle.

3) Subtract the area of the semicircle from the area of the rectangle

[tex]A_r_e_c_t_a_n_g_l_e-A_s_e_m_i_c_i_r_c_l_e=A_p_o_o_l[/tex]

I hope this helps!

Answer:

1. SA

2. VO

3. SA

4. VO

5. SA

6. VO

SA=Surface Area

VO=Volume

Answer:

1) 5, 7, 8

2) 10, 24, 26

Step-by-step explanation:

1) For an acute triangle, the square of the longest side is less than the sum of the square of the two smaller sides.

a) 4² + 5² = 16 + 25 = 41

7² = 49 > 4² + 5².  Therefore the triangle is not acute

b) 5² + 7² = 25 + 49 = 74

8² = 64 < 5² + 7².  Therefore the triangle is acute

c) 6² + 7² = 36 + 49 = 85

10² = 100 > 6² + 7².  Therefore the triangle is not acute

d) 7² + 9² = 49 + 81 = 130

12² = 144 > 7² + 9².  Therefore the triangle is not acute

2) For a right angled triangle, the square of the longest side is equal to the sum of the square of the two smaller sides.

a) 8² + 12² = 64 + 144 = 208

15² = 225 > 8² + 12².  Therefore the triangle is not a right triangle.

b) 10² + 24² = 100 + 576 = 676

26² = 676 = 10² + 24².  Therefore the triangle is a right triangle.

c) 20² + 12² = 400 + 144 = 544

25² = 625 > 20² + 12².  Therefore the triangle is not a right triangle.

d) 15² + 18² = 225 + 324 = 549

20² = 400 < 15² + 18².  Therefore the triangle is not a right triangle.

Answer:

0.1015, 0.11, 0.7, 0.715

Answer:

= -11/4

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

   = (6 - -5)/(-2 -2)

   = (6+5)/(-2-2)

    = 11/-4

    = -11/4

Answer:

-2.75 (-2 3/4)

Step-by-step explanation:

you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.

Answer:

(16,63,65)

Step-by-step explanation:

Well, by trial and error, it turns out that 16²+63² = 65²

So the pythagorean triplet is (16,63,65)

Point C represents the solution of the inequality graph

The graph shows two sets of equations

The first equation

This is represented by a dotted line because it does not have the equality sign. The sign represented is called the less than sign. The feature of being a dotted line helps in knowing the line that solves the equation.

Also. the solution of the less than sign is below the line this eliminates points B and A.

The second equation

This is represented by a solid line since it has the equality sign present. This is read as greater than or equal to. It has two signs joined together. The solution of the greater than sign is above the line this eliminates points  A and D

Hence points A, B, and D has been eliminated remaining point C hence point C represents the solution of the inequality graph

Read more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

Answer:

statement 1 and 2 are true

Answer:

x = 1, y = 1/4

Step-by-step explanation:

[tex]11x + 4 y = 12 \ \ \ ---( 1)\\9x -4y = 8 \ \ \ - - - (2)\\\\(1) + ( 2 ) => 20x + 0 = 20\\\\[/tex]

            [tex]=> x = 1[/tex]

Substitute x = 1 in ( 1 ) :  

                            [tex]11 + 4y = 12\\4y = 12 - 11\\\\y =\frac{1}{4}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

5^8

Step-by-step explanation:

Hey,

Know out exponent division propety knowledge.  We can solve.

5^12/5^4 = 5^12-4=5^8

Hope this helped,

Joe Louis2

Answer:

5^8

Step-by-step explanation:

We know that a^b ÷ a^ c = a^ ( b-c)

5^12 ÷ 5^4 = 5^ (12-4) = 5^8

Answer:

$281.88

Step-by-step explanation:

Solve for 50% of $522:

522 × 0.50

261

Solve for sales tax:

261 × 0.08

20.88

Solve for total:

261 + 20.88

281.88

Answer:

option B

Step-by-step explanation:

According to Euclidean Geometry , opposite side and opposite angles of parallelogram are equal.

That is,

( 6x + 12 )° = (7x - 8 )°

Answer:

observations and quadratic formula

Answer:

Quadratic

Step-by-step explanation:

The format for a quadratic function is: y= ax^2+bx+c.

This matches your equation.

Answer: X

Step-by-step explanation: The Square root of 68 is 8.246, meaning the closest point to that number is X.

18. 3 (-5 + 1) = 6 x -3 = -18 false its -14

19. 1/2 x 2 + 1/4 x 12 = 8 false its 4