Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.

Answer:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Step-by-step explanation:

If there are 30 boys and 15 girls in the room

We have :

Boys : Girls

30 : 15

a) 30 : 15

Dividing through by 3

= 10:5

b) 30 : 15

Dividing through by 5

= 6:3

c) 30 : 15

Dividing through by 15

= 2:1

Hence:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Answer: is 7 an answer choice ?

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

x-15/5=4

x-3=4

x=4+3

x=7

Answer:

64x³+4

-------------

2x-1

Step-by-step explanation:

I hope this helps. :)

Answer:

The answer is $1512.

Step-by-step explanation:

First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.

Answer:

-5

Step-by-step explanation:

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

Answer:

Think the answer is 1292928

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

Answer:

D. 4/9 and 0.4 repeated

Step-by-step explanation:

4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9

Answer:

2x^2+3x+3

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP  1

The Equation at the end of step 1

 (3x2 +  5x) -  x2) -  2x) +  3

STEP  2

Trying to factor by splitting the middle term

2.1     Factoring  2x2+3x+3  

The first term is,  2x2  its coefficient is  2.

The middle term is,  +3x  its coefficient is  3.

The last term, "the constant", is  +3  

Step-1: Multiply the coefficient of the first term by the constant   2 • 3 = 6  

Step-2: Find two factors of  6  whose sum equals the coefficient of the middle term, which is   3.

     -6    +    -1    =    -7  

     -3    +    -2    =    -5  

     -2    +    -3    =    -5  

     -1    +    -6    =    -7  

     1    +    6    =    7  

     2    +    3    =    5  

     3    +    2    =    5  

     6    +    1    =    7  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

Final result :

 2x^2 + 3x + 3

Hope this helps!

Brain-List?

Answer:

The answer is 639.

Step-by-step explanation:

42.6 × 15

639

Answer: 639

Step-by-step explanation:

42.6 x 15 =639

Answer:

(6x - 7) (6x - 7)

Step-by-step explanation:

A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).

[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).

So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

Answer: 77

Step-by-step explanation:

Answer:

28/3 or 9.3333

Step-by-step explanation:

2/9 + 82/9= 28/3

Answer:

Noah answer is the correct answer

Step-by-step explanation:

The solution to the above question is given as:

Total Volume = Volume of the prism + Volume of the cube

Volume of the prism = 20 cubic units

Volume of a cube = (Side length)³

= 10³ = 1000 cubic units

Hence: The total volume =

20 cubic units + 1000 cubic units

= 1,020 cubic units

Therefore, I agree with Noah's answer.

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

Answer:

2x+6

Step-by-step explanation:

(-x+4)+(3x+2) remove ()

-1x+4+3x+2 combine like terms

2x+6

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Answer:

x-intercept: (2,0)

y-intercept: This line doesn't cross the y-axis.

Answer:

can we go to bed first

Step-by-step explanation:

then i will check your speed

Answer:

27°

Step-by-step explanation:

A = ab sinC / 2

50 = 10 * 22 * SinC / 2

sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455

C = 27°

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

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

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

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

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

Answer:

5x/3

Step-by-step explanation:

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

Answer:

1. 15+5i

2. 3+4i

3. 3+i

4. 30

Step-by-step explanation:

Answer:

B because that is how you do substitution and all of the other ones do not make sense