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Natali [406]
3 years ago
15

The difference of 2 numbers is 20 and their product is 125

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
4 0

Answer:

The two numbers are ;

<h2>x = 25</h2><h2>y = 5</h2><h3>I Hope It Helps :)</h3>

Step-by-step explanation:

Let -the -unknown- numbers-be-x-and-y\\x-y =20    (1)\\xy = 125   (2)\\On -equation (1) make-x -the- subject-of-the-formula\\x  = 20+y\\Substitute, 20+y in- equation- for x\\y(20+y)=125\\20y +y^{2} =125\\Arrange-in-general-form-of-a-quadratic-equation=\\ax^{2} +bx +c =0\\y^{2} +20y-125=0\\Using -factorization -method\\Find-two-factors- when - added- give +20 and -when- multiplied give-125\\Factors=+25y and  -5y\\y^{2} +25y-5y-125=0\\factorize- y -out \\y(y+25)-5(y+25)=0\\(y+25)(y-5)=0\\

(y+25)=0- or -(y-5)=0\\y = 0-25  -or- y = 0+5\\y = -25 , y= 5\\ y- cannot -have- a- negative- value \\y = 5\\substitute 5 for y in equation (1) -or-(2)\\x-y = 20    (10\\x-5 = 20 \\x = 20 +5\\x = 25

Semenov [28]3 years ago
3 0

Answer:

ans= 25, 5

Step-by-step explanation:

Guess a number that you can the difference as 20 and when you multiply you get 125. For imstance in my case the difference between 25 and 5 is 20 and their product is 125

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Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A la
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B=30mm

Step-by-step explanation:

According to the Question,

we have,  A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.

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Consider the arithmetic sequence 13, 24, 35, ....
MArishka [77]

Answer:

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Step-by-step explanation:

In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the <em>explicit formula</em>.

An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.

The <em>explicit formula </em>is:

a_{n}=a_{1} + (n-1)d

Where a1 is the first term, d is the common difference and an is the nth term of the sequence.

You have to subtract two consecutive terms to obtain d:

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8 0
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The florist can order roses bunches of one dozen and lilies in bunches of 8.
vekshin1

9514 1404 393

Answer:

  1. (rose bunches, lily bunches) ∈ {(2, 3), (4, 6), (6, 9), (8, 12)}. The least is (2, 3).

  2. 6(2+3); 14(3+1); 9(4+3)

Step-by-step explanation:

I like Euclid's algorithm for finding the greatest common factor (GCF): divide the larger number by the smaller, and note the remainder. If the remainder is zero, the smaller is the GCF; if not, use the remainder in place of the larger number and repeat.

__

1. The GCF of 8 and 12 is 4, so the least common multiple is ...

  LCM(a, b) = ab/GCF(a, b)

  LCM(8, 12) = 8·12/4 = 24

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The florist could have ordered these numbers of bunches (roses, lilies):

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The least order is 2 bunches of roses and 3 bunches of lilies.

__

2.

A. GCF = 6, so the factored form is 6(2+3)

B. GCF = 14, so the factored form is 14(3+1)

C. GCF = 9, so the factored form is 9(4+3)

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