Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit

Answer:

x < 1 and x > -2

Step-by-step explanation:

5x - 1 < 4 and 3x + 5 > x + 1

Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.

5x < 5 and 3x + 5 > x + 1

Step 2.) Divide 5 by 5 to get the variable alone

x < 1 and 3x + 5 > x + 1

Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4

x < 1 and 2x > -4

Srep 5.) Divide -4 by 2 to get the variable alone and you get -2

x < 1 and x > -2

Answer:

if it says she used 4 cups of sugar then she used 4 cups of sugar?

but if she used 4 cups of flour then she used 2 cups of sugar

Step-by-step explanation:

Hope this helps! :)

Answer:

9.25 lbs

Step-by-step explanation:

37 is the amount for 4 acres or 4a:

37  = 4a

Isolate and find a by dividing both sides by 4:

4a = 37

4a ÷ 4 = [tex]\frac{37}{4}[/tex]

a = [tex]\frac{37}{4}[/tex] or 9.25 lbs

Hope this helps!

Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

Answer:

The kitchen drawing is 48 millimeters long.

We want to find equations for the different markups for the manufacturer and the stores that sell the crayons.

We know that a pack of 24 crayons costs $0.05 to make.

Is sold to stores for $0.25

The stores sell it for $0.50

Now we want to get the markup equation for the manufacturer, this is:

Markup = 100%*(price - cost)/(cost) = 100%*($0.25 - $0.05)/$0.05 =400%

For the store it is:

Markup = 100%*($0.50 - $0.25)/($0.25) = 100%

For the composition of these two I assume you refer to the total markup (notice that these are not functions, we can't make a composition if we do not have a variable).

Comp = 100%*($0.50 - $0.05)/($0.05) = 900%

If you want to learn more, you can read:

https://brainly.com/question/1099507

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

To know more about value, refer here:

https://brainly.com/question/22572776

#SPJ2

Answer:

what type of help......

(about) 6.6 or 6 2/3

Answer:

1-*8364464737353=kgkdtyry

Answer:

-5x^3-38x^2-76x-46=0

60% of the people from the survey are completely satisfied

Now the formula for the area of a circle is: πr². So we take 3 and just put it into the equation. π·3²=28.27. This is the area of the circle. Now the rate of change I think would just be the difference between the radius and the area of the circle so 28.27-3=25.27.

Answer:

Cup

Explanation:

Gallon is too large, it'll spill over.

Pound is just... Obviously not. You use that to weight people...

And ounce is smaller than a cup but we're talking about the most appropriate unit therefore your answer is cup.

Hope that helps <3

Answer:

Chau drove 13.96 miles while he was using the truck

Step-by-step explanation:

Answer:

294 miles!!!!!!

Step-by-step explanation:

Answer:

Well in this case the solution would be x = 19/9, I hope this helps! :)

Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215  

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

Answer:

27.75$

Step-by-step explanation:

37-----100%

x-------25%

x=(25×37)÷100

x=9.25

total = 37-9.25=27.75

her new total will be 27.75$

Answer:

It’s -4

Step-by-step explanation:

Your equation is y=-4x -3

Answer:

-24

Step-by-step explanation:

Answer:-24

Step-by-step explanation:if its the same sign u just add and keep the sign.

Answer:     355/70? correct me if im wrong :-)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

No, it will not be the same shade of green.

Step-by-step explanation:

For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.

The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.

I hope this helps :D

_________

[tex] \: [/tex]

-8(6x + 3) = ...

= (-8 × 6)x + (-8 × 3)

= -48x - 24✔

Answer:

2.511 square kilometers

Answer:

9/20 or 45%

Step-by-step explanation:

If we make common denominators (for this example, we will make each denominator 20), this would make 7/10 = 14/20 and 1/4 = 5/20. From there, we subtract the numerators from each other (14-5) and leave the denominators alone. The difference comes out to 9/20 and there is no way to simplify it further, making it the final answer.