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liberstina [14]
2 years ago
5

How many liters of pure water must be added to how many liters of a 25% bleach solution to make 12 liters of a 15% bleach soluti

on?
has to be in complete sentences
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
3 0

Answer: 4.8 liters

Step-by-step explanation:

Let x liter of water is added with y liter of 25% beach solution.

Thus, According to the question,

x + y = 12  -------(1)

0% of x + 25 % of y = 15 % of 12

25 % of y = 15% of 12

25 y = 15\times 12

y = \frac{180}{25}

y = \frac{36}{5}

Put this value in equation (1),

We get,

x + \frac{36}{5} = 12

x = 12-\frac{36}{5}

x =\frac{60-36}{5}

x =\frac{24}{5}

Therefore, the quantity of water =  x =\frac{24}{5}=4.8\text{ liter}

And, the quantity of 25% bleach solution = y =\frac{36}{5}=7.2\text{ liter}

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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe
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6 sec can take penny to strike the ground.

Solution:

Given data:

H_0=288 feet

V_0=48 feet

h(t)=288+48t-16t^2

Re-arrange the terms from greatest degree to smallest degree.

h(t)=-16t^2+48t+288

We can solve it by applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Here a = –16, b = 48, c = 288

$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}

$t=\frac{-48\pm \sqrt{2304+18432}}{-32}

$t=\frac{-48\pm \sqrt{20736}}{-32}

$t=\frac{-48\pm144}{-32}

Now, write find two t's using plus and minus operation.

$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}

$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0
2 years ago
Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.
Elenna [48]

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}

4 0
3 years ago
Can some please explain and solve how to do these unit rate equations?
Sedaia [141]
(1) 20:4=5:1. 80:16 16 weeks since he’s doing 5per week, and 80 divided by 5 is 16.

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(3) 1:20 4:80 It will take 80 minutes because 20x4=80

(4) 1:1 20:20 it will take her 20 days since she makes one craft a day and she’s making 20.

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If you still need help, here’s the answers
8 0
2 years ago
Help please and thank you
vladimir2022 [97]

Answer:

C

Step-by-step explanation:

how i figured this out was not by using the table, but you can use the table

i just asked myself what two numbers multiplied together has a product of -12, one number must me negative

the two numbers must also add up to -4, meaning the bigger number had to be negative

the only answer that worked was 2 and -6

6 0
3 years ago
What is the value of x?<br><br> x = 45°<br> x = 65°<br> x = 70°<br> x = 115°
dem82 [27]

The three inside angles of a triangle need to equal 180 degrees.

To find X subtract the two known angles from 180.

X = 180 - 45 - 70

X = 65 degrees.

8 0
3 years ago
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