Help asap pls and ty

WILL MARK BRAINLIEST!!!!Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can compl

VashaNatasha [74]

Suppose there are 12 equal parts of the house to be cleaned. Max can do 1 per hour, and Maggie can do 3 per hour.

The number of units they can do together in x hours is x+3x. Since there are 12 units to do, x+3x=12. For x=3 this is true, so the sister was right!

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5

Morgarella [4.7K]

Answer:

$=5x+1$ or $=5x-1$

Step-by-step explanation:

One is given the following equation:

$5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

$(a-b)^2=a^2-2ab+b^2$

$=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

$=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}$

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

$=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}$

$=5x-\frac{|3x-1|}{-(3x-1)}$

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

$|a-b|\\=a -b$ or $(-a-b) = b-a$

$=5x-\frac{|3x-1|}{-(3x-1)}$

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

$=5x-(-1)$ or $=5x-(1)$

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

$=5x-(-1)$ or $=5x-(1)$

$=5x+1$ or $=5x-1$

6 0

2 years ago

Cd has an endpoint at (2, -1) and a midpoint at (8, 3). which measure is closest to the length of cd

stepladder [879]

Answer:

4 $\sqrt{13}$

Step-by-step explanation:

The length of CD will be twice the distance from the midpoint to the endpoint

To calculate the length use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)

d = 2 × $\sqrt{(8-2)^2+(3+1)^2}$

= 2 × $\sqrt{6^2+4^2}$

= 2 × $\sqrt{52}$

= 2 × $\sqrt{4(13)}$

= 2 × 2 $\sqrt{13}$ = 4 $\sqrt{13}$ ← exact length

8 0

3 years ago

Scientific Notation: what’s (2.2 x 10 to the -4) - (3 x 10 to the 2)

Marrrta [24]

Answer:

$2.23\times10^4$

Step-by-step explanation:

In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.

$(2.2\times10^{-4})-(3\times10^2)$

Turn the notations into standard form:

$2.2\times10^{-4} = .00022$

$3\times10^2=300$

$.00022-300=22300$

$=22300$

Turn into notation form:

$22300 = 2.23\times10^{4}$

Hope this helps.

8 0

3 years ago

HELP ME PLEASEEEEEEEEEE

Alex_Xolod [135]

Answer: The total amount the water change was -28 gallons by the end of the week OR The total amount the water changed decreased 28 gallons by the end of the week. Depending on how you want to word it.

Hope this helps!

Step-by-step explanation:

Create you equation:

x = the total amount the water changed

d = the amount of days

x = -4d

Insert the known information into the equation and solve:

x = -4d

x = -4(7)

x = -28

4 0

2 years ago