please help, my teacher won't respond to email and everyone else is busy

Answer:

c) is the right answer.

Step-by-step explanation:

The Skills needed are: GCF, Division, and Factoring

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

Answer:

Step-by-step explanation:

a). [tex]\frac{5\pm\sqrt{-4}}{3}[/tex] = [tex]\frac{5}{3}\pm \frac{\sqrt{-4}}{3}[/tex]

               = [tex]\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}[/tex]

               = [tex]\frac{5}{3}\pm\frac{2i}{3}[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]

b). [tex]\frac{10\pm\sqrt{-16}}{2}[/tex] = [tex]\frac{10}{2}\pm \frac{\sqrt{-16}}{2}[/tex]

                  = [tex]5\pm \frac{4\sqrt{-1}}{2}[/tex]

                  = 5 ± 2i [Since, i = [tex]\sqrt{(-1)}[/tex]]

c). [tex]\frac{-3\pm \sqrt{-144}}{6}[/tex] = [tex]-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}[/tex]

                    = [tex]-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}[/tex]

                    = [tex]-\frac{1}{2}\pm 2\sqrt{-1}[/tex]

                    = [tex]-\frac{1}{2}\pm 2i[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]

Answer:

No

Step-by-step explanation:

Number of feets per second of treasure chest = 20ft / s

Depth of ocean floor = - 4200

To know if chest will reach ocean depth in 3 minutes ; use the Relation :

Distance = speed * time

Time = 3 minutes = (3 * 60) = 180 seconds

Depth of chest after 180 seconds :

-20 * 180 = - 3600 feets

Hence, chest can't reach ocean floor in 3 minutes

-4200 feets is deeper than - 3600 feets

Answer: the second one

Step-by-step explanation:

because [tex]-4^{4}[/tex]= -256

Answer:

10x+10

Step-by-step explanation:

distrubute 4(x+10)-30+6

subctract 4x+40-30+6

combine 10x+10

Answer:

y=-6

Step-by-step explanation:

y=mx+b, b is the y-intercept, m is slope

slope (m)= rise/run

(-6--6)/(7-3)=

0/4=

0

So plug it in.

y=(0)x+b

y=b

But what is y?

Pick either coordinate and plug the y-value into the equation y=b.

Now you have -6=b

So the final equation is y=-6.

It doesn't matter what the x value is, it's going to be multiplied by 0, the y coordinate on this line will always be -6.

Alternatively, you can plot it out, both (7,-6) and (3,-6) have the same y coordinate, therefore you can immediately see that the slope=0 because it's just a horizontal line.

Answer:

[tex](2,\frac{3}{2}})[/tex]

Step-by-step explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

[tex]\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2[/tex]

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

[tex]7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}[/tex]

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is [tex](2,\frac{3}{2}})[/tex].

Answer:

The total area of the land is 4.4 square mi.

The length of the fence should be 9.2 mi.

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

First, we need to find the Hypotenuse of the triangle by using the Pythagoras theorem.

[tex](\text{Hyp})^2=(1.6)^2+(1.2)^2[/tex]

[tex](\text{Hyp})^2=2.56+1.44[/tex]

[tex](\text{Hyp})^2=4[/tex]

[tex]\text{Hyp}=2[/tex]

So, the hypotenuse of the triangle is 2 mi. Also, the hypotenuse of the triangle is the side of the rectangle.

Total area = Area of square + Area of Triangle + Area of rectangle

Total area = [tex]1.2\times 1.2+\frac{1}{2}(1.2)(1.6)+2\times 1[/tex]

Total area = [tex]1.44+0.96+ 2[/tex]

Total area = 4.4 square mi.

Now calculate the fencing they need to enclose the outside of their farm.

For this add the length of the red lines shown in the figure below:

[tex]\text{Fence length outside the farm}=1.2+1.6+1+2+1+1.2+1.2[/tex]

[tex]\text{Fence length outside the farm}=9.2[/tex]

Hence, the length of the fence should be 9.2 mi.

Answer:

[tex]x(t) = 54t[/tex]  and [tex]y(t) = 134(t - 3)[/tex]

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

[tex]Rate = 54m/min[/tex]

For Swimmer B:

[tex]Rate = 134m/min[/tex]

Required:

Write a parametric equation

For Swimmer A:

If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes

So, the function is:

[tex]x(t) = 54t[/tex]

For Swimmer B:

If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.

If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)

So, the rate is:

[tex]y(t) = 134(t + 3)[/tex]

Hence, the parametric functions are:

[tex]x(t) = 54t[/tex] and

[tex]y(t) = 134(t - 3)[/tex]

Answer:

A on Edge

Step-by-step explanation:

Answer:

Its an example  Unit rate becuase theres the #1 in it and its constant

Step-by-step explanation:

A rate is more like a ratio of 2 different number

3:6

or

9:18

When these are simplified you’ll get 1 in one of the 2 numbers but then it would be a unit rate

Rate= no #1

Unit rate= Defined as a number 1

Answer:

8+4(3(-2)+-4)

Solve brackets first

8+4(-6+-4)

8+4(-6-4)

8+4(-10)

8+-40

8-40

= -32

Step-by-step explanation:

8+4(3(-2)+-4)

= 8+4 (-6-4)

=8+4(-10)

=8-40

=-32

Answer:

i think you are correct.

Step-by-step explanation:

Answer:

546/42= 13

559/13= 43

43 attendees

Answer:

1/2

Step-by-step explanation:

Let the total pie be 2

She ate 1/6

Her brother ate 1/3

If she gave her Friend the remaining, the fraction of the amount her friend collected is expressed as:

1-(1/6+1/3)

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

= 1-3/6

= 1 - 1/2

=1/2

Hence the fraction she gave her friend is 1/2

Answer:

y=-7x-16

Step-by-step explanation:

Answer:

It's 6 in scientific calculator

Step-by-step explanation:

Hope it helps bye have a good day!

Answer: 1.20133333333 repeatedly

Answer:

2704

Step-by-step explanation:

My probability math is a bit rusty, but here's my reasoning.

Assuming that it is a 1/26 chance someone has the same first inital as you (which isn't true, some initials are more prominent than others) and a 1/26 chance that somone has the same last inital as you (also not true) then it would be a 1/26 x 1/26 chance to find someone with the same first and last inital as you

To find 4 people in a room with the same inital would be 26 x 26 x 4, or 2704. If we are counting Olivia as a fifth person, then it would be 26 x 26 x 5, or 3380.

Answer:

x = 10

y = 20

Step-by-step explanation:

Hope this hepls you.

Answer:

-4,9

Step-by-step explanation:

(its kind of confusing but i will try my best to help) i get that anwser from the x      cordinate -4 and y coordinate 9  

Answer:

C

Step-by-step explanation:

N = st

Number of toothpicks = (number of students) x (toothpicks)

D.

Answer:

$9.60 for 12 sandwiches

To solve the problem we will calculate the cost of 1 sandwich first.

The cost of 12 sandwiches is 9.6 Rands.

Given

15 sandwiches are sold for 12 Rand

We know the cost of 15 sandwiches is 12 Rand, therefore,

[tex]\text{Cost of 1 Sandwich} = \dfrac{\rm 12\ Rand}{\rm 15\ Sandwich}[/tex]

[tex]\text{Cost of 1 Sandwich} = \dfrac{12}{15} = 0.8\ \rm Rand/Sandwich[/tex]

The cost of 12sandwiches can be calculated using the cost of 1 sandwich,

[tex]\text{Cost of 12 Sandwiches} = \text{Cost of 1 sandwich} \times 12[/tex]

                              [tex]= 0.8 \times 12 = 9.6\ \rm Rand[/tex]

Hence, the cost of 12 sandwiches is 9.6 Rands.

Learn more about Cost:

https://brainly.com/question/4557688

Answer:

The greatest possible length is 900 cm

Step-by-step explanation:

Here, we want to calculate the greatest possible length of 12 of those rods

Firstly, we assume that the rods have a length of 75 cm

This will give the greatest possible length of each of the rods

So the possible length of 12 of these will be

12 * 75 = 900 cm

Answer:

write question properly

Answer:

2 3/20 metres

Step-by-step explanation:

Area of the rug = Length × width

Given

Area = 7 1/6 metres = 43/6 m

Length = 3 1/3 metres = 10/3 m

Required

Width

From the formula

A = LW

W = A/L

Substitute the given values

W = 43/6÷10/3

W = 43/6×3/10

W = 43/2 ×1/10

W = 43/20

W = 2 3/20 m

Hence the width of the rug is 2 3/20 metres

Answer:

32

Step-by-step explanation:

7 x 6 is 32 so u get that

a) Volume = x(100 - 2x)(80 - 2x).

b) Surface Area = (100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x).

c) Ratio = x(100 - 2x)(80 - 2x) / [(100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x)].

d) Restrictions: 0 < x ≤ 40 and x < 50. (Positive dimensions, non-zero volume, and avoiding non-physical dimensions)

a) The box will have a height of x and a base of (100 - 2x) cm by (80 - 2x) cm.

Thus, the expression for the volume of the box in terms of x is:

Volume = x × (100 - 2x) × (80 - 2x)

b) To find the surface area of the open-topped box,

consider the area of the bottom (100 - 2x) × (80 - 2x) and the four sides.

The sides have a width of x and a length of 100 - 2x or 80 - 2x, so the surface area expression is:

Surface Area = (100 - 2x) × (80 - 2x) + 4x × (100 - 2x) + 4x × (80 - 2x)

c) To find the ratio of the volume to the surface area,

divide the volume expression by the surface area expression:

Ratio = Volume / Surface Area

Ratio = [x × (100 - 2x) × (80 - 2x)] / [(100 - 2x)× (80 - 2x) + 4x × (100 - 2x) + 4x ×(80 - 2x)]

d) To identify restrictions on x, consider practical aspects of the box.

The value of x must be positive since we're cutting squares from the corners.

Also, the value of x cannot exceed half the length of the sides

(100/2 = 50 and 80/2 = 40)

because if x is greater than half, then the box will have a negative or zero dimension, which is not meaningful. So, the restrictions are:

0 < x ≤ 40 (to ensure positive dimensions and non-zero volume)

x < 50 (to avoid non-physical dimensions)

learn more about Volume here

brainly.com/question/28210642

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Answer:

2/15

Step-by-step explanation:

LCD(4/5, 2/3) = 15

so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

X: x=3-3/5y

Y: y=5-5/3x

Step-by-step explanation:

For X:

-3y on both sides will result in:

5x=15-3y

5x/5=15/5-3y/5 (divide 5 on both sides)

x=3-3/5y

For Y:

-5x on both sides will result in:

3y=15/3-5x/3 (divide 3 on both sides)

y=5-5/3x

please mark brainliest

Answer:

7%, 10%

Step-by-step explanation:

Man, I'm doing AP Stats homework right now and it's on conditionals too.

P(X given Y) = P(X and Y)/P(Y) = 0.03/0.45 = 1/15 for A|B

and thus 0.03/0.30 = 1/10 for B|A

So 7% and 10% are the answers.