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AnnyKZ [126]
3 years ago
12

A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains

120 gal of a solution of 4% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 6% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

2.5 gal

Step-by-step explanation:

let be x = galons of solution to be drained and replace with bleach

so, we have to substract to the current solution of bleach 0.04*120, x gallons that have a concentration of 0.04 x

and also, we have to add the same gallons of bleach to the solution, that is x

and have to obtain a final concentration of 0.06*120

we can express the problem with the follow equation:

0.04*120 - 0.04*x + x = 0.06*120

solving the equation for x:

4.8+0.96*x=7.2

0.96*x=7.2-4.8

0.96*x=2.4

x =2.5 gallons

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Multiply (3x – 1)(5x – 9) Show work Please
Murljashka [212]

Answer:

15x^2-32x+9

Step-by-step explanation:

(3x – 1)(5x – 9)

FOIL

first: 3x*5x= 15x^2

outer: 3x(-9) = -27x

inner: -1(5x) = -5x

last: -1(-9) = 9

Add them together

15x^2 -27x-5x +9

Combine terms

15x^2-32x+9

6 0
3 years ago
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11) A hoodie costs $39.00 and is on sale (discounted) for 35% off. How
maxonik [38]

Answer:

$25.44

Step-by-step explanation:

35% of $39 is $13.65

$39-$13.65=$25.44

4 0
3 years ago
A group of 6p people are renting a vacation house together the price of the rental is 3p to the 2nd power if they split the cost
Tanya [424]
So we just do
cost/number of people=cost per 1 person
so
(6p)/(3p^2)
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\frac{6p}{3p^{2}}=\frac{6}{3p} times \frac{p}{p}=\frac{2}{1p} times \frac{p}{p} times \frac{3}{3}=\frac{2}{1p}  times 1 times 1=2/p

easy way is
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(x^m)/(x^n)=x^(m-n)
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4 0
3 years ago
Find the perimeter of the shape<br> 5cm<br> 6cm<br> 17cm<br> 8cm<br> Perimeter = [perimeter] cm
exis [7]
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8 0
3 years ago
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets
iren2701 [21]

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

Read more about percentages at; brainly.com/question/11865045

6 0
2 years ago
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