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kirza4 [7]
2 years ago
7

Geoff wants to make a 100 ml of 5% alcohol solution mixing a quantity of a 2% alcohol solution with a 7% alcohol solution. What

are the quantities of each of the two solutions (2% and 7%) he has to use?
____ ml of the 2% solution

____ ml of the 7% solution
Mathematics
1 answer:
Paha777 [63]2 years ago
7 0

Answer:

3

Step-by-step explanation:

753

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Nicole the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the
frosja888 [35]
I have a feeling I've seen this question before
anyway

A=number of hours that plan A is
B=number of hours that plan B is

so

on wednesday, 7hr
5A and 6B so
5A+6B=7

on thursday, 3 hours
3 of A and 2  of B
3A+2B=3


so we gots

5A+6B=7
3A+2B=3

elimination
eliminate B's
multiply 2nd equation by -3 and add to 1st equation

5A+6B=7
<u>-9A-6B=-9 +</u>
-4A+0B=-2

-4A=-2
divide both sides by -4
A=1/2
A=0.5

sub back

3A+2B=3
3(0.5)+2B=3
1.5+2B=3
minus 1.5 both sides
2B=1.5
divide by 2 both sides
B=0.75


plan A lasts 1/2 hour or 0.5 hour or 30 mins
plan B lasts 3/4 hour or 0.75 hour or 45 mins
8 0
3 years ago
Read 2 more answers
Find the 40th term in each arithmetic sequence.
USPshnik [31]
1. 160 2. 520 3.240 hopefully they are right
5 0
3 years ago
Which one is &gt; greater or &lt; less than or = equal to?? 6+√8____√6+8​
brilliants [131]

\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8}  }

6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }

4 0
3 years ago
The function g(x) = 3x - 12x + 7 written in vertex form is g(x) = 3(x - 2)2 – 5. What is the vertex of g(x)?
Assoli18 [71]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ g(x)=3(x-\stackrel{h}{2})^2+(\stackrel{k}{-5})\qquad \qquad \stackrel{\textit{vertex}}{(2,-5)}

3 0
3 years ago
How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Alika [10]

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

8 0
2 years ago
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