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ICE Princess25 [194]
2 years ago
12

Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When

Mathematics
1 answer:
Bond [772]2 years ago
8 0

Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given by:

  • Johanna's: 1/6.
  • Elizabeth's: 1/6.
  • Dan's: 1/4.

Hence the together rate is given by:

\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}

\frac{1}{x} = \frac{1}{3} + \frac{1}{4}

\frac{1}{x} = \frac{4 + 3}{12}

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

More can be learned about the together rate at brainly.com/question/25159431

#SPJ1

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OverLord2011 [107]

Answer:

340 customers.

Step-by-step explanation:

1 out of 4 = 25% purchase rate

85 × 4 = 340

To check our work:

25% of 340 = 0.25 × 340 = 85

4 0
3 years ago
Solving for y what is 3x-4y=-8<br> solving for y what is 3x-4y=-8
Sati [7]

Answer:

y=2+0.75x

Step-by-step explanation:

3x-4y=-8

first, subtract 3x from both sides

-4y=-8-3x

now divide by -4

y=2+0.75x

6 0
3 years ago
What is the solution of sqrt x+12=x ? x = –3 x = 4 x = –3 or x = 4 no solution
icang [17]
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8 0
4 years ago
Read 2 more answers
You roll a number cube and flip a coin.What is the probability of rolling a number less than 2 and flipping tails. Write your an
vesna_86 [32]

Answer:

1/6

Step-by-step explanation:

number cube 6 faces less than 2, only 2 possibilities, leaving us with a fraction of 2/6=1/3

tails is a 50 percent chance or 1/2

3/6 time 2/6

equals:

1/6

the probability of rolling a number less than 2 and flipping tails on a coin is 1/6

find probability of event a: number cube and multiply it by probability of event b: coin

8 0
3 years ago
The roots a and b of the quadratic equation x2+kx+12=0 are such that a-b=1. determine k.
zvonat [6]
Simplifying 
x2+kx + -12=0

Recorder the terms: -12+kx+x2 =0

solving: -12+ kx + x2=0

now solving for variable 'K'

move all the terms containing K to the left, all other terms to the right.

Add '12' to each side of the equation.
-12+12+kx+ x2 =0+12

combine like terms: -12+12=0
0+kx +x2=0+12
 
combine like terms:  0+12=12
kx+x2+-1x2= 12 + -1x2

combine like terms: x2 + -1x2=0
kx+0 =12+-1x2
kx= 12+-1x2

divide each side by 'x'.
k=12x-1 + x

simplifying:  K=12x -1 +-1x

Anw: K=12x -1+ -1x

6 0
3 years ago
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