PLSSS HELP ME THIS IS DUE TODAY THE QUESTION IS IN THE SCREENSHOT

Marta can vacuum the house in 30 min. It takes her daughter 45 min to vacuum the house. How long would it take them if they

Mamont248 [21]

Answer:

Step-by-step explanation:

This problem is on combined work rate

given that

Marta can vacuum the house in 30 min

then her rate= 1/30

Also, her daughter will take 45 min to vacuum the house

her daughter's rate will be = 1/45

then the combined work rate is

1/30+1/45=1/T

30+45/30*45=1/T

75/1350= 1/T

1/18=1/T

This means that they will both take 18 minutes working together to vacum a house

8 0

3 years ago

What is the solution to the equation 2(x - 3) = 2x + 5

Genrish500 [490]

Hello there!

2(x - 3) = 2x + 5

Let's start by using the distributive property for the left side.

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

2x - 6 = 2x + 5

Then we need to add 6 to both sides

2x - 6 + 6 = 2x + 5 + 6

2x = 2x + 11

We need to transfer 2x on the left side, we gonna do that by subtracting 2x from both sides

2x - 2x = 2x + 11 - 2x

0 = 11

Thus,

There are no solutions.

I hope this helps!

Good luck with your career!

7 0

3 years ago

Read 2 more answers

Is x^2y^5 simplified?

Marizza181 [45]

Yes it is indeed nothing else can be done to this problem

6 0

3 years ago

Please Help fast!!!!! I'll give 30 pts.!

Zinaida [17]

The best buy is from dealership B because dealership B has a lesser base price

<h3>The add-on options</h3>

For the purpose of this exercise, the add-on options to select are:

Sunroof
Keyless entry

<h3>Dealership A</h3>

The total amount of the add-on options is:

Total = $500 + $1500

Total = $2000

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 17248.44

Divide both sides by (1 + 6.75%)

x ≤ 16157.79

The solution means that the base price of the car cannot exceed $16157.78 for dealership A

<u>The graph of the possible base price</u>

See attachment

<h3>Dealership B</h3>

The total amount of the add-on options is:

Total = $750 + $1000

Total = $1750

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 16725.28

Divide both sides by (1 + 6.75%)

x ≤ 15667.71

The solution means that the base price of the car cannot exceed $15667.71 for dealership B

<u>The graph of the possible base price</u>

See attachment

<h3>Where to buy from</h3>

Buy from dealership B because dealership B has a lesser base price