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wlad13 [49]
3 years ago
8

John is making punch. How many cups of 50% juice should he add to a drink that contains 10% juice if he wants to make 15 cups of

punch containing 20% juice? (How many cups of each drink)
Define one variable based on the percentage of which is being asked.

Set up table (Which wants the percent and amt of Mixture A and Mixture B)

Solve for x.
Mathematics
1 answer:
Bess [88]3 years ago
7 0
Lets make a equal the amount of mixture a and b the amount of mixture b.  You can made an equation .10a+.50b=.20(15) and a+b=15.  So then you make the system of equations:
.10a+.50b=3
a+b=15
I would substitute b in the first equation with b=15-a to get the single equation .10a+.50(15-b)=3 and then solve for b.
.10a+7.5-.5a=3
-.4a+7.5=3
-.40b=-4.5
a=11.25
With that value of a you can find that b=3.75
Therefore you you have to mix 11.25 cups of 10% juice with 3.75 cups of 50% juice to get 15 cups of 20% juice.

This is how I would solve the question.  I don't really know what the question means by setting up a table so I hope this method is fine. If it is not please let me know in the comments so that I can try to fix it.
I hope this helps.

P.S. Let me know if you want me to try to explain to you how I got my first equation.  You have to use knowledge that you will eventually learn in chemistry when going over the unit that introduces you to solutions.
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ohaa [14]

Answer:

See the proof.

Step-by-step explanation:

<u>Statement     </u><u>                                                         </u><u>   Reason</u>

1.∠1 and ∠2 are supplementary angles     ---           Given  

2. m∠1 + m∠2 = 180°     ---                  Linear pair, they are supplementary                                

3. m∠1  and m∠3 are supplementary angles --  m∠1 + m∠3= 180

                                                                              (Supplementary angles add upto 180 degrees)  

4.  m∠1 and m∠3           ------                                 Exterior sides in opposite rays

5.   m∠1 + m∠2 = m∠1 + m∠3  ------                       Transitive property  

6.    m∠2 = m∠3                     --------------                Subtraction  property

7.   l || m  ------------- If two lines are cut by transversal the alternative interior

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Thank you.

4 0
3 years ago
in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by
Len [333]

We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

<span>49=p</span>

<span>p=49</span>

Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

<span>58.31−49=<span>9.31</span></span>

4 0
3 years ago
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zvonat [6]

Answer:

$11.5

Step-by-step explanation:

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8 0
3 years ago
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A study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 P.M. on weekdays
Dima020 [189]

Answer:

Step-by-step explanation:

Given that a study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 P.M. on weekdays there is an average of four customers waiting in line.

Let X be the number of customers waiting in line

X is Poisson with parameter = 4

the probability that you visit Safeway today during this period and find:

a. No customers are waiting

P(X=0) = 0.018316

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=P(x=4) =0.193567

c. Four or fewer are waiting?

=P(X\leq 4) = 0.628837

d. Four or more are waiting

=P(X\geq 4)=0.56653

8 0
3 years ago
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