(a/b)^-3 x (a^2 b)^2 x (b^3)^0

John's membership in the gym and Madison's party are illustrations of linear equations.

1. John's equation

The given parameters are:

[tex]\mathbf{Base = 75}[/tex]

[tex]\mathbf{Monthly = 30}[/tex]

The monthly expression is:

[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]

So, we have:

[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]

[tex]\mathbf{f(m) = 75+ 30m}[/tex]

For 6 months, we have:

[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]

[tex]\mathbf{f(6) = 255}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255

2. Madison's party

The given parameters are:

[tex]\mathbf{Cake = 18.50}[/tex]

[tex]\mathbf{Balloon = 20}[/tex]

[tex]\mathbf{Total = 63.50}[/tex]

Let n represent the cost of each balloon.

So, the equation is:

[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]

This gives:

[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]

Subtract 18.50 from both sides

[tex]\mathbf{ 20 \times n = 45}[/tex]

Divide both sides by 20

[tex]\mathbf{ n = 2.25}[/tex]

Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

Answer:

180 texts

Explanation:

mutiply 92 by 0.10 and you'll get 9.2

So each text costs 10 cents.

Answer:

4

Step-by-step explanation:

We start with this:

[tex]\frac{5x-6y +20z}{4yz}[/tex]

Then we insert the vales of the variables like this:

[tex]\frac{5(5)-6(3) +20(\frac{1}{4} )}{4(3)(\frac{1}{4}) }[/tex]

Next, Simplify:

[tex]\frac{25-18 +5}{3 }[/tex]

[tex]\frac{12}{3 }[/tex]

Simplify further, and we get our answer: 4

1) The toad's jumps are 12 steps long.

2) One of Roger's jumps equals 45 steps.

3) Wartortle makes 1 jump to cover 96 steps.

4) One of Ribbie's jumps is equal to 14 steps.

1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:

2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:

3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :

4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:

Learn more in https://brainly.com/question/19634148

Answer:

ration number such as 2 and 3

2 plus 3 is 5

3 minus 2 is 1

3 by 5 plus 2 by 5 is 5 by 5 which is 1

3 by 5 plus 2 by 4 take lcm and add the numerator .

Answer:

B

Step-by-step explanation:

-16x - 32

We can factor out -16 from the -16 and -32 which leads us to this equation:

-16 (x + 2)

Meaning B would be the correct answer

Answer: B. -16(x + 2)

Step-by-step explanation:

The GCF, or greatest common factor, of -16 and -32, is -16.

Thus, distribute out -16 to get -16(x + 2)

Hope it helps :) and let me know if you want me to elaborate.

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:

[tex]3(n-1)*n+2=54[/tex]

[tex]3n(n-1)+2=54[/tex]

Expand:

[tex](3n*n)-(3n*1)+2=54[/tex]

[tex]3n^2-3n+2=54[/tex]

Subtract both sides by 54:

[tex]3n^2-3n+2-54=54-54[/tex]

[tex]3n^2-3n-52=0[/tex]

Answer:

Step-by-step explanation:

Answer: 3,000

Step-by-step explanation:

4,000 divided by 4 is 1,000. This means that 25% of 4,000 is equal to 1,000. 75 divided by 3 is 25. Multiply 1,000 times 3 to get your answer, 3,000, which is 75% of 4,000.

[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]

[tex]\\ \sf\longmapsto 4x+102=180[/tex]

[tex]\\ \sf\longmapsto 4x=78[/tex]

[tex]\\ \sf\longmapsto x=19.7[/tex]

Answer:

20000

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

Answer:

Answer is 66

Step-by-step explanation:

divide 198 by 3 and you get 66

Hope this helps!

Answer:

1. 20

2.19

ok that will help you

Answer:

Step-by-step explanation:

Are the ratios 17:10 and 2:1 equivalent?

17 : 10 = 1.7

2:1      = 2

Answer: x = 13 hours

Step-by-step explanation:

335 miles/5 hours = 67 mi/hr

(67 mi/hr)x = 871 miles

x = 13 hours

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

Answer:

Bro what to find with this

Answer:

 which would mean it would  have the area  of   160 square feet  

Step-by-step explanation:

Answer:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202

Answer:

Perimeter is 41.1327 centimeters

Step-by-step explanation:

The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.

To find the circumference of a circle, just multiply the diameter by pi:

[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]

Now, add the diameter to half of it:

[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]

Answer:

3 hundreds, 2 tens, 5 ones

Answer:

ok so you see the equation at the top... you are going to "plug in" the number in the "in" row to get the "out number

Step-by-step explanation:

example

in: 4

-2(-4)+1

8+1

9

so for the out row under -4 you would put 9

-2(-3)+1

6+1

7

so for the out row under 3 you would put 7

Answer:

...

Step-by-step explanation:

Answer:

a = - 3, b = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

6x+4=11

(x is "a number")

Answer: perpendicular

Step-by-step explanation: an opposite reciprocal makes it perpendicular.

example

1/2 and -2 are opposite reciprocals

1/2 and 1/2 are parallel

1/2 and -4/3 are neither

Answer:

The answer is perpendicular

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

Answer:

32/51

Step-by-step explanation:

Answer:

the answer is x = 4.

1. use the quadratic formula.

2. use a coordinate plane to check your answer.

hope this helps.

Answer:

x = 4

Step-by-step explanation:

(x - 3)(x² + 3x + 9) = 37 ← distribute left side

x³ + 3x² + 9x - 3x² - 9x - 27 = 37 , simplify left side by collecting like terms

x³ - 27 = 37 ( add 27 to both sides )

x³ = 64 ( take cube root of both sides )

x = [tex]\sqrt[3]{64}[/tex] = 4

Answer:

3/2 minutes or 1.5 minutes

Step-by-step explanation:

We want to know when the two following equations will be equal, so we can set them equal to each other

(x = time passed)

Falcon

\/

8x = 4x + 6

         /\

   Batman

8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2

We can also graph it, see attatched

Have a nice day! - also, lol, the different car names

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

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

Using the points on the line  (-2,0) and (0,-2)

m = ( -2-0)/(0- -2)

   = (-2-0)/(0+2)

   -2/2

   -1