Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which

Help please with explain so for further questions like this

Yakvenalex [24]

Rmember (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)this is just alot of busy work

find f+g first then find f-g

f+g=(x-4)/(x+9)+(x-9)/(x+4)
make denomenator the same
multiply left one by (x+4)/(x+4) and right one by (x+9)/(x+9)
[(x-4)(x+4)]/[(x+9)(x+4)]+[(x-9)(x+9)]/[(x+9)(x+4)]
[x²-16]/[(x+9)(x+4)]+[x²-81]/[(x+9)(x+4)]
[x²+x²-16-81]/[(x+9)(x+4)]
[2x²-97]/[(x+9)(x+4)]

now f-g
[x²-16]/[(x+9)(x+4)]-[x²-81]/[(x+9)(x+4)]
[x²-x²-16+81]/[(x+9)(x+4)]
[65]/[(x+9)(x+4)]

now we got
$\frac{ \frac{2x^2-97}{(x+9)(x+4)} }{ \frac{65}{(x+9)(x+4)} }$
invert and multiply
$(\frac{2x^2-97}{(x+9)(x+4)})(\frac{(x+9)(x+4)}{65})$
$\frac{2x^2-97}{65}$

2nd option

8 0

3 years ago

The number of cubic feet of water in a curved container can be approximated by v = 0.95h2.9. use a calculator to find the amount

Sati [7]

The first thing we must do for this case is to rewrite the expression of the volume correctly.
We have then:
v = 0.95 * h ^ 2.9
Substituting the value of h we have:
v = 0.95 * (7.5) ^ 2.9
v = 327.6432831
round to the nearest tenth:
v = 327.6 feet ^ 3
Answer:
the amount of water in the container when h = 7.5 feet is:
v = 327.6 feet ^ 3

3 0

3 years ago

Find the value of x x° 100° 135°

Charra [1.4K]

Answer:

Sqoo= 2 (100 + 999) - 5300 = 3 (100 + 999). Saoo=494,550 ... Find the values of x for which (fºg)(x) <(gºf)(x). f(x) = 2x – 1 g(x) = " x+1'47-1.

4 0

2 years ago

You estimate that you spend $115 on groceries each month. how much money do you spend on groceries each week?

Deffense [45]

I believe the answer is $30 a week

4 0

3 years ago

An 16 16-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0

3 years ago