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Delicious77 [7]
4 years ago
6

The product of 2 numbers is 20. Their difference is 8. What are the two numbers?

Mathematics
2 answers:
Sloan [31]4 years ago
8 0

Answer:

the value of x is 10 and y is 2

Step-by-step explanation:

(x)(y) = 20 \:  \:  \:  \: ..(1) \\ x - y = 8 \:  \:  \:  \:  \: ..(2) \\ x = 8 + y \\ (8 + y)(y) = 20 \\ 8y + y {}^{2}  = 20 \\ y {}^{2}  + 8y = 20 \\ y {}^{2}  + 8y - 20 = 0 \\ y {}^{2}  + 10y - 2y - 20 = 0 \\ y(y + 10) - 2(y + 10) = 0 \\ (y - 2)(y + 10) \\ y - 2 = 0 \:  \:  \:  \:o r \:  \: y + 10 = 0 \\ y = 2

y =  - 10 \\ not \:  \:  \:  \:  \: possible

now,

put y = 2 in (2)

x - 2 = 8 \\ x = 10

Verification

(10)(2) = 20 \\ 10 - 2 = 8

Verified

levacccp [35]4 years ago
6 0

Answer:

10 and 2

Step-by-step explanation:

10 x 2 = 20. If you subtract 10 by 2, it equals 8. Hope this helped!

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3 years ago
(n^3 +67² + 4n - 2)/(n + 1)
Alla [95]

Answer:

(n^3 + 4 n + 4487)/(n + 1)

Step-by-step explanation:

Simplify the following:

(n^3 + 4 n - 2 + 67^2)/(n + 1)

| | 6 | 7

× | | 6 | 7

| 4 | 6 | 9

4 | 0 | 2 | 0

4 | 4 | 8 | 9:

(n^3 + 4 n - 2 + 4489)/(n + 1)

Grouping like terms, n^3 + 4 n - 2 + 4489 = n^3 + 4 n + (4489 - 2):

(n^3 + 4 n + (4489 - 2))/(n + 1)

4489 - 2 = 4487:

Answer: (n^3 + 4 n + 4487)/(n + 1)

5 0
3 years ago
There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r
zhannawk [14.2K]

Answer:

12

Step-by-step explanation:

The first cave has 7 times more bats than the last cave.  So if the 45th cave has b bats, then the first cave has 7b bats.

There are 77 bats in every row of 7 caves.  So if there are 7b bats in the first cave, then there are 77−7b bats in caves 2 through 7.

Since there are also 77 bats in caves 2 through 8, that means cave #8 must have 7b bats.  Repeating this logic:

#1 = 7b

#2-#7 = 77−7b

#8 = 7b

#9-#14 = 77−7b

#15 = 7b

#16-21 = 77−7b

#22 = 7b

#23-28 = 77−7b

#29 = 7b

So the first 29 caves have 5(7b) + 4(77−7b) = 308 + 7b bats.

Now we do the same thing from the other end.  If cave #45 has b bats, then caves #39-#44 have 77−b bats.  And since caves #38-44 have 77 bats, then cave #38 has b bats.  Therefore:

#45 = b

#39-44 = 77−b

#38 = b

#32-37 = 77−b

#31 = b

So caves 31 through 45 have 3b + 2(77−b) = 154 + b bats.

Adding that to the first 29 caves, plus x number of bats in cave #30:

308 + 7b + x + 154 + b = 462 + 8b + x

We know this equals 490.

490 = 462 + 8b + x

28 = 8b + x

x is a maximum when b is a minimum, which is b = 2.

28 = 8(2) + x

x = 12

There are at most 12 bats in the 30th cave.

8 0
4 years ago
The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit
Sphinxa [80]

<u><em>Answer:</em></u>

24.2%

<u><em>Explanation:</em></u>

<u>The percentage of people choosing strawberry can be calculated as follows:</u>

Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100

<u>We have:</u>

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

<u>Substitute in the above rule to get the percentage as follows:</u>

Percentage = \frac{15}{62}*100 = 24.19 = 24.2%

Hope this helps :)

3 0
3 years ago
X+y=5<br> x^y+y^x=17<br> solve for the value of y and x
pentagon [3]
X = 2 
<span>y = 3 </span>

<span>2 + 3 = 5 </span>
<span>2³ + 3² = 17 </span>

<span>------------------- </span>

<span>BUT: </span>

<span>x + y = 5 </span>
<span>x^y + y^ x = 17 </span>

<span>y = 5 - x</span>
7 0
3 years ago
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