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Daniel [21]
3 years ago
6

I'm not quite understanding how to solve these word problems

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0
I'll help you on the first one.
Anya test scores are 78 and 91.
She has one more test and want to average between an 80-89 inclusive.
Lets set up a inequality and call the remaining test x.
80<=(78+91+x)/3<=89
Multiply everything by 3
240<=169+x<=267
Subtract 169 from everything
71<=x<=98
In interval notation that would be [71,98]
In set notation that would be{x|71<=x<=98}
For the graph, I don't really understand. I think you just graph 71<=x<=98.

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MrRissso [65]
Y=16x+7
the x represents the number of memberships the 16 represents the cost of a membership and the 7 represents the additional cost.
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3 years ago
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In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?
Vikki [24]

Answer:

$52.03

Step-by-step explanation:

1. Approach

To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

2. Find the tax

As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

<u>a. convert percent to decimal</u>

8.4 / 100 = 0.084

<u>b. multiply the decimal by the amount spent</u>

48 * 0.084 = 4.032

The amount spent on sales tax is, $4.032

3. Find the total amount spent

Now all one has to do is add the amount spent in tax by the amount spent on the purchase.

48 + 4.032 = 52.032

Since money is only spent rounded to the second decimal point, one has to round the number;

52.03

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2 years ago
The Widget Company is planning to produce widgets. The company has rented space for its manufacturing operation at $4,000 per mo
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I'll try to explain in the simplest way possible:

Total cost for a single widget: $32 + $44 = $76 for one widget.

So, since we know the cost of one widget is $76, then the price of 350 widgets would be = $76 x 350 = $26,600.
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3 years ago
If Tom runs 3.5 miles in 29.4 minutes, how many hours would it take him to run 26 miles? Show your work.
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

3.5 miles/(29.4 minutes)

26 miles × (29.4 minutes)/(3.5 miles) = 218.4 minutes

218.4 minutes × (1 hour)/(60 minutes) = 3.64 hours

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Car and biker started to move towards each other.
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Answer :

1 4 4 0 0

E  x p l a i n i n g :

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