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bonufazy [111]
3 years ago
10

Solve for x 3x-2(-x+9)=2+5

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

To find the value of x

3x-2(-x+9)=2+5

3x +2x -18 = 7

5x = 7 +18

5x = 25

x = 25/5

x = 5

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The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e
Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet  of peanut butter contains = 500 + 20% of 500                                                                                                            =500+500\times \frac{20}{100} =500+100=600\ gram

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price =  Each jar weigh \times number of jars

                       = 600 \times 4 = 2400 gram

<u>Cost of each packet will be same as previously as during the offer;</u> $7.20

Cost of 3 packet's peanut (2400 gram) =  7.20\times3=\$21.6

Now, we will calculate cost per 100 grams of peanut butter :

<u>During offer:</u>

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = \frac{21.6}{2400}

Cost of 100 gram of peanut butter = \frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9

<u>Normal day:</u>

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = \frac{7.20}{500}

Cost of 100 gram of peanut butter = \frac{7.20}{500}\times100=\frac{720}{500} =\$1.44

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

<u>Conclusion:</u>

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

             

7 0
3 years ago
jackie needs 0.7 meters of canvas material to make a​ carry-all bag for his wheelchair. If canvas is $4.18 per meter, how much w
Akimi4 [234]
4.18x.7= 2.926

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3 0
3 years ago
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

5 0
3 years ago
Read 2 more answers
What is the unit rate $1.99 for 30 oz to nearest tenth
KatRina [158]

Answer:

$0.10/oz

Step-by-step explanation:

Unit rate simply means the amount per 1 unit of something.

In this case, we want to find the amount of money for 1 oz of something.

So, we divide 1.99 by 30 and divide 30 by 30 to get:

(1.99 / 30) / (30 / 30) = $0.0663 / 1 oz

Rounded to the nearest tenth, 0.0663 is about 0.1.

Thus, the answer is $0.10/oz.

6 0
3 years ago
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many mile
Bad White [126]

Answer: 18.15 miles

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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