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Marat540 [252]
3 years ago
12

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

196

Step-by-step explanation:

half the middle number and then square it

14² = 196

(y + 14)(y + 14)

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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
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU DO BOTH<br> please give me a real answer
never [62]

Answer:

Q2. angle 5 +angle 6=90°

angle 5+ 6°=90°

angle 5=90°-6°

angle 5=84°

Q.3 angle 8+angle 9=90°

angle 8 + 11°=90°

angle 8=90°-11°

angle 8=79°

3 0
3 years ago
What is the absolute deviation of 4 in this data set?
lakkis [162]

Answer:

7

Step-by-step explanation:

I took the k12 quiz

6 0
3 years ago
A store sells apples in 5-pound bags for $2.25. If the price per pound is the same, how much money would it cost for a 20-pound
dedylja [7]
I’m pretty sure the answer would be $9.00.
EXPLANATION:
2.25/5= 0.45
0.45x20= 9
ANSWER: $9.00
7 0
3 years ago
In a certain county, the number of Charter Schools is eleven less than twice the number of Alternative Schools. There are 35 Cha
vitfil [10]
Id have to say 2a-11=35 

5 0
3 years ago
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