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denis23 [38]
2 years ago
7

4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. Wh

at is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

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it does not

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What do u need help with I don't get what u need help with

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2 years ago
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
2 years ago
Which is a factor of each term of the polynomial?<br><br> (3d2 – 10d)
nydimaria [60]

Answer:

d(3d-10)

Step-by-step explanation:

You pull out the common factor of d from both terms, and group the remaining terms inside a parenthesis.

8 0
2 years ago
What are the odds of rolling 2 dice and getting the sum of 7?
Yuliya22 [10]

Answer:

1/6

Step-by-step explanation:

favorable over total outcomes

favorable is 6

total is 36

6/36 = 1/6

6 favorable outcomes are:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

testbookcom

quora Praneethreddy Ravi Shetye

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