A piece of green rope is being used to make a border around the outside of a sculpture that is in the shape of an equilateral triangle. One side of the equilateral triangle has a length of 3x + 3. Give TWO equivalent expressions that can be used to represent the length of the rope that is used to border all 3 sides.

Answer:

Increase the quotient by one

Step-by-step explanation:

Since in the question it is mentioned that There is a total of 33 cards and wants to put 4 cards on each page

So for determining the number of pages for put all of his cards

We should do increment in the quotient by 1 as there is a requirement of an additional page for the left cards

Therefore the above is the answer

Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

1

3x +2y − z = − 1 Using the first two equations,

− 2x − 2y +3z = 5 Add the first two equations

(A) x +2z = 4 This is equation (A), our first equation

− 2x − 2y +3z = 5 Using the second two equations

5x +2y − z = 3 Add the second two equations

(B) 3x +2z = 8 This is equation (B), our second equation

(A) x +2z = 4 Using (A) and (B) we will solve this system.

(B) 3x +2z = 8 We will solve by addition

− 1(x +2z) =(4)( − 1) Multiply (A) by − 1

− x − 2z = − 4

− x − 2z = − 4 Add to the second equation, unchanged

3x +2z = 8

2x = 4 Solve, divide by 2

2 2

x = 2 We now have x! Plug this into either(A) or(B)

(2) +2z = 4 We plug it into (A),solve this equation,subtract 2

− 2 − 2

2z = 2 Divide by 2

2 2

z = 1 We now have z! Plug this and x into any original equation

3(2) +2y − (1)= − 1 We use the first, multiply 3(2) =6 and combine with − 1

2y + 5= − 1 Solve,subtract 5

− 5 − 5

2y = − 6 Divide by 2

2 2

y = − 3 We now have y!

(2, − 3, 1) Our Solution

As we are solving for x, y, and z we will have an ordered triplet (x, y, z)

Answer:it’s factorable

Step-by-step explanation:

I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.

Answer:

(x + 3)(3x - 2)

Step-by-step explanation:

Multiply the 3 and -6 together to get -18 . What two numbers add to  7  and multiply to  -18? 9 and -2

So we can now split the middle term like this...

=  3x^2 + 9x - 2x - 6            

Now factor a  3x  out of the first two terms.

=  3x(x + 3) - 2x - 6            

Now factor a  -2  out of the last two terms.

=  3x(x + 3) - 2(x + 3)        

Now factor a  (x + 3)  out of both remaining terms.

=  (x + 3)(3x - 2)

Answer:

his total bill would be 698.75

Step-by-step explanation

you only did half of the problem lol.

48.75 is just the sales tax. to get the total bill, you need to add 650 to 48.75 because 650 is the actual price of the TV

hope this helps :)

Answer:

This is an percentage change question to calculate this, simply:

7.5% * 650 is 48.75 (You are correct here)

But the question

asks for) "Jackson' total bill) therefore its 48.75 + 650 = 698.75

Cheers! :)

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

Answer: A. Not a function. B. Is a function. C. Not a function. D. Not a function.

Step-by-step explanation:

Answer:

17 to 12

Step-by-step explanation:

it's monkeys to chimps

Answer:

f(x) = x^4 - 5x^3 - x^2 + 5x should be the answer

Step-by-step explanation:

x = 0 1 -1 5

x = 0

x - 1 = 0

x + 1 = 0

x - 5 = 0

f(x) = x (x - 1) (x + 1) (x - 5)

(x - 1) (x - 5) = x(x) - 1(x) - 5(x) - 1(- 5)

x^2 - x - 5x + 5

f(x) = (x^2 - 6x + 5) (x + 1)

x^2(x) - 6x(x) + 5(x) + x^2(1) - 6x(1) + 5(1)

x^3 - 6x^2 + 5x + x^2 - 6x + 5

f(x) = (x^3 - 5x^2 - x + 5) x

x^3(x) - 5x^2(x) - x(x) + 5(x)

f(x) = (x^4 - 5x^3 - x^2 + 5x)

Answer:

y = x^4 - 5x^3 - x^2 + 5x

Step-by-step explanation:

hope i helped

Answer: 4

a = 4

Step-by-step explanation: 8=3(4)-4

8=12-4

Substitute a for 4

hope this is correct :-)

Answer:

a=4

Step-by-step explanation:

8=3a-4

-3a= -4 -8

-3a = -12

a=12/3

a=4 Ans

Answer:

Step-by-step explanation:

It’s 88

Answer:

-2u+w  

Step-by-step explanation:

Answer:

$105

Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.

Answer:

if you are solving for x, x=-36/5+6y/5

if you are solving for y, y=6+5x/6

Step-by-step explanation:

Answer: C is the domain of the function

Step-by-step explanation:

y=f(x) and x in y=f(x) is domain.

Answer:

D. cos 0°

Step-by-step explanation:

[tex] \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree [/tex]

Answer:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Step-by-step explanation:

Answer:

sss and sas both work

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can see two congruent sides as per marks and one shared side which is congruent to itself

So the correct option is SSS

Answer:

x = -5   y = 3

Step-by-step explanation:

-3x + 5y = 15

cancel out the y

-3x + 5(0) = 15

-3x = 15

divide both sides by -3

x = -5

-3x + 5y = 15

cancel out the x

-3(0) + 5y = 15

5y = 15

divide both sides by 5

y = 3

Hope this helps!!

Answer:

Perimeter = 6x + 5.

Step-by-step explanation:

The perimeter is the sum of the three sides.

Perimeter = 3x - 2 + (-5x) + 8x + 7

= 3x - 2 - 5x + 8x + 7

= 3x - 5x + 8x - 2 + 7

= 6x + 5.

Answer:

I think 0.06

Step-by-step explanation:

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

Answer:

P = 50.39 cm

Step-by-step explanation:

It is given that,

The side of a square, a = 5∛16 cm

We need to find the perimeter of the square.

Perimeter = sum of all sides.

All sides of a square are equal. Its perimeter is given by :

P = 4a

[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]

So, the exact perimeter of the square is 50.39 cm.

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

Answer:

24 possibilities

Step-by-step explanation:

3 colors X 8 numbers = 24 possibilities