Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.Alexa just became a personal trainer and is finalizing her pricing plans. One plan is to charge €61 for the initial consultation and then €32 per session. Another plan is to charge €66 for the consultation and €27 per session. Alexa realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

For blank sessions, the cost is € blank on either plan.

Answers

Answer 1

Answer: x - the number of sessions
y - the cost

The system of equations:
$y=61+32x \ny=66+27x$

The solution:
$y=61+32x \ny=66+27x \n \n\hbox{substitute 61+32x for y in the 2nd equation:} \n61+32x=66+27x \n32x-27x=66-61 \n5x=5 \ \ \ |/ 5 \nx=1 \n \ny=61+32x \ny=61+32 * 1 \ny=61+32 \ny=93 \n \n(x,y)=(1,93)$

For 1 session, the cost is €93 on either plan.

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Write the name of the period that has the digits 145 of 145,973

Answers

This is the: Thousands period.

this is the thousands period

PLEase help I really need this

Answers

Answer:

54 - 8 = $46

Step-by-step explanation:

ok the answer is 46 dollars

In a tile game, Kent lost 53.5 points in the first round and 12.9 points in the second round.After these two rounds, what is Kent's score?
A. -66.4 points
B. -40.6 points
C. 66.4 points
D.40.6 points

Answers

so 53.5 + 12.9 =66.4 then thats a. -66.4

Answer:

-66.4

Step-by-step explanation:

You have to add

53.5+12.9=66.4

So it’s -66.4

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Answers

Answer:

$AB-C^2$ in simplest form:

$3x^3+x^2+6x-9$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) =a\cdot b+ a\cdot c$

Given that:

The variables A, B, and C represent polynomials

Where,

$A = x^2$

$B = 3x+2$

$C = x-3$

We have to find the $AB-C^2$

then;

$AB-C^2$ = $(x^2)(3x+2)-(x-3)^2$

Apply the distributive property :

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

⇒ $3x^3+2x^2-(x^2+9-6x)$

Remove the bracket, we have;

$3x^3+2x^2-x^2-9+6x$

Combine like terms;

$3x^3+x^2+6x-9$

Therefore, $AB-C^2$ in simplest form: $3x^3+x^2+6x-9$

AB - C2 = (x2)(3x + 2) - (x-3)2
AB - C2 = 3x3 + 2x2 - (x2 -6x +9)
AB - C2 = = 3x3 + 2x2 - x2 + 6x - 9
AB - C2 = = 3x3 + x2 + 6x - 9

What is the equation 16 × 2

Answers

$16 * 2 = 32$

The equation is 16 * 2 = 32

describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

Answers

If the ratio of x/y or x/y is always the same constant, then a and y are directly proportional and the constant is called the constant of proportionality.

If the product of xy is always the same constant, then a and y are inversely proportional and the constant is called the constant of proportionality.

unit rates --- are like any rate found by dividing --- like speed --- miles per hour unit means 1 and this is miles traveled in one hour (at constant speed) --- so you just divide --- traveling 100 miles in 2 hours = 50 miles in 1 hour --- 50 miles per hour --- miles/hour <<< that is a unit rate

slope is a rate of change --- on an x-y coordinate axis graph the slope is the rate of change of y compared to a change in x --- this is not necessarily a unit rate ... slope of 2/3 means a change of 2 for y will create a change of 3 for x (not a change of 1, so it is not a unit rate)

Answer:

Table of Values: The ratio of (Y) to (X) gives the unit rate and slope.

Equation: If the equation can be written as y=mx, then m is the unit rate and the slope.

Graph: When the line passes through the origin, the slope of the graph gives the unit rate and the slope.

Step-by-step explanation:

you can just copy everything here, its in the teacher's book

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