Algebra – assignmentgeek.com Blog https://assignmentgeek.com/qa Just another WordPress site Thu, 28 Oct 2021 10:09:11 +0000 en-US hourly 1 https://wordpress.org/?v=5.7 What is the greatest common factor of 4,000, 18,000, 4 and 12? https://assignmentgeek.com/qa/what-is-the-greatest-common-factor-of-4k-18k4-and-12-2-4-2k-4k/?utm_source=rss&utm_medium=rss&utm_campaign=what-is-the-greatest-common-factor-of-4k-18k4-and-12-2-4-2k-4k https://assignmentgeek.com/qa/what-is-the-greatest-common-factor-of-4k-18k4-and-12-2-4-2k-4k/#respond Thu, 28 Oct 2021 10:09:11 +0000 https://assignmentgeek.com/qa/?p=2060 Answer: A. 2

Solution:

The greatest common factor of two or more numbers is the highest factor that can be used in dividing all the numbers.

E1 = 4k = 2×2×k

E2 = 18k4 = 2 × 3 × 3 × k × k × k × k

E3 = 12 = 2×2×3

The number or expression they all have in common is 2.

This makes 2 the greatest common factor.

]]> https://assignmentgeek.com/qa/what-is-the-greatest-common-factor-of-4k-18k4-and-12-2-4-2k-4k/feed/ 0 If 100 envelopes cost 70 cents, how much would 250 cost? https://assignmentgeek.com/qa/if-100-envelopes-cost-70-cents-how-much-would-250-cost/?utm_source=rss&utm_medium=rss&utm_campaign=if-100-envelopes-cost-70-cents-how-much-would-250-cost https://assignmentgeek.com/qa/if-100-envelopes-cost-70-cents-how-much-would-250-cost/#respond Fri, 01 Oct 2021 08:43:04 +0000 https://assignmentgeek.com/qa/?p=1805 If 100 envelopes = 70 cents

Then 250 = x cents

100x = 70 × 250

100x = 17500

x = 175 cents

= 1.75 dollars

]]> https://assignmentgeek.com/qa/if-100-envelopes-cost-70-cents-how-much-would-250-cost/feed/ 0 In the below system, solve for y in the first equation. https://assignmentgeek.com/qa/in-the-below-system-solve-for-y-in-the-first-equation-x-%e2%88%92-3y-%e2%88%926-2x-%e2%88%92-7y-10/?utm_source=rss&utm_medium=rss&utm_campaign=in-the-below-system-solve-for-y-in-the-first-equation-x-%25e2%2588%2592-3y-%25e2%2588%25926-2x-%25e2%2588%2592-7y-10 https://assignmentgeek.com/qa/in-the-below-system-solve-for-y-in-the-first-equation-x-%e2%88%92-3y-%e2%88%926-2x-%e2%88%92-7y-10/#respond Tue, 03 Aug 2021 14:38:01 +0000 https://assignmentgeek.com/qa/?p=1364 Answer: A. 1/3x+2

There are two equations:

x − 3y = −6 ….. Equation one

2x − 7y = 10 …… Equation two

Solve for the value of y in equation one

x – 3y = –6

3y = x + 6

Divide both sides by 3

y = (x+6)/3

y = (1/3)x + 2

]]> https://assignmentgeek.com/qa/in-the-below-system-solve-for-y-in-the-first-equation-x-%e2%88%92-3y-%e2%88%926-2x-%e2%88%92-7y-10/feed/ 0 How do you determine that an equation is linear? https://assignmentgeek.com/qa/how-to-tell-if-an-equation-is-linear/?utm_source=rss&utm_medium=rss&utm_campaign=how-to-tell-if-an-equation-is-linear https://assignmentgeek.com/qa/how-to-tell-if-an-equation-is-linear/#respond Sun, 09 May 2021 15:16:05 +0000 https://assignmentgeek.com/qa/?p=586 The first sign that an equation is linear is that all its variables increase with constant correspondence.

Also, a linear equation can be represented in several forms, including standard forms, indices, etc. However, these numbers carry no exponents.

Finally, when represented on a graph, linear equations have a constant slope.

]]> https://assignmentgeek.com/qa/how-to-tell-if-an-equation-is-linear/feed/ 0 How many combinations with 6 numbers? https://assignmentgeek.com/qa/how-many-combinations-with-6-numbers/?utm_source=rss&utm_medium=rss&utm_campaign=how-many-combinations-with-6-numbers https://assignmentgeek.com/qa/how-many-combinations-with-6-numbers/#respond Wed, 14 Apr 2021 12:50:22 +0000 https://assignmentgeek.com/qa/?p=230 Combinations and permutation in mathematics are the various ways through which a set of items can be organized. Mathematicians have deduced that these number arrangements can be found using factorials. For example, an n number of items can be arranged in n! different ways. So the number of combinations with 6 numbers can be found using this formula.

n!=n × (n-1) × (n-2) × … 1. Here n= 6

Therefore, there will be 6 x 5 x 4 x 3 x 2 x 1 = 720 different combinations

]]> https://assignmentgeek.com/qa/how-many-combinations-with-6-numbers/feed/ 0 Statistics and Probability Question https://assignmentgeek.com/qa/statistics-and-probability-question/?utm_source=rss&utm_medium=rss&utm_campaign=statistics-and-probability-question https://assignmentgeek.com/qa/statistics-and-probability-question/#respond Mon, 12 Apr 2021 12:26:18 +0000 https://assignmentgeek.com/qa/?p=160

P(X=0)=C020   *0.080 * 0.9220 = 0.9220  ≈ 0.1887

]]> https://assignmentgeek.com/qa/statistics-and-probability-question/feed/ 0 The sum of three numbers is 98. The ratio of the first to the second is 2/3 https://assignmentgeek.com/qa/the-sum-of-three-numbers-is-98-the-ratio-of-the-first-to-the-second-is-2-3/?utm_source=rss&utm_medium=rss&utm_campaign=the-sum-of-three-numbers-is-98-the-ratio-of-the-first-to-the-second-is-2-3 https://assignmentgeek.com/qa/the-sum-of-three-numbers-is-98-the-ratio-of-the-first-to-the-second-is-2-3/#respond Mon, 12 Apr 2021 11:50:44 +0000 https://assignmentgeek.com/qa/?p=112 Solution:

Let the three numbers be x, y and z.

Sum of the numbers is 98.

x + y + z = 98………………(i)

The ratio of the first to the second is 2/3.

x/y = 2/3.

x = 2/3 × y.

x = 2y/3.

The ratio of the second to the third is 5/8.

y/z = 5/8.

z/y = 8/5.

z = 8/5 × y.

z = 8y/5.

Put the value of x = 2y/3 and z = 8y/5 in (i).

2y/3 + y + 8y/5 = 98

49y/15 = 98.

49y = 98 × 15.

49y = 1470.

y = 1470/49.

y = 30 .

Therefore, the second number is 30.

Answer: С

]]> https://assignmentgeek.com/qa/the-sum-of-three-numbers-is-98-the-ratio-of-the-first-to-the-second-is-2-3/feed/ 0 permutation and combination https://assignmentgeek.com/qa/permutation-and-combination/?utm_source=rss&utm_medium=rss&utm_campaign=permutation-and-combination https://assignmentgeek.com/qa/permutation-and-combination/#respond Mon, 12 Apr 2021 11:39:21 +0000 https://assignmentgeek.com/qa/?p=90 5P3 is an example of nCr which is DEFINED as n! / (n-r)!

In this case, 5! / 2! has the 5•4•3 expansion…it’s 5! but with the 2•1 having cancelled the last two factors of 5!

Answer 60 is entirely correct.

]]> https://assignmentgeek.com/qa/permutation-and-combination/feed/ 0 Need solution to the system of equations https://assignmentgeek.com/qa/need-solution-to-the-system-of-equations/?utm_source=rss&utm_medium=rss&utm_campaign=need-solution-to-the-system-of-equations https://assignmentgeek.com/qa/need-solution-to-the-system-of-equations/#respond Mon, 12 Apr 2021 11:36:32 +0000 https://assignmentgeek.com/qa/?p=81 oh, it’s quite simple

we need to get x from one of equation, so x-2 = -x-4

then 2x=-2

x = – 1
after that we put x into y=x-2 and get y = – 3

Answer: -3

]]> https://assignmentgeek.com/qa/need-solution-to-the-system-of-equations/feed/ 0 Math Calculus — AID— https://assignmentgeek.com/qa/math-calculus-aid/?utm_source=rss&utm_medium=rss&utm_campaign=math-calculus-aid https://assignmentgeek.com/qa/math-calculus-aid/#respond Tue, 06 Apr 2021 11:54:12 +0000 https://assignmentgeek.com/qa/?p=55 Total time spent: 4 hours 15 minutes (it is equivalent to 255 minutes). Let the flight time from Paris to Glasgow be X. Then the flight time from Glasgow to Paris will be (X+10).
We have an equation with one unknown variable:
X + 45 + (X+10) = 255 ⇒ X = 100
So the flight time from Paris to Glasgow is 100 minutes. If the plane leaves Paris at 08:50 then it will be in Glasgow at 10:30.

Answer: 10:30

]]> https://assignmentgeek.com/qa/math-calculus-aid/feed/ 0 help me set up an equation for this problem https://assignmentgeek.com/qa/help-me-set-up-an-equation-for-this-problem/?utm_source=rss&utm_medium=rss&utm_campaign=help-me-set-up-an-equation-for-this-problem https://assignmentgeek.com/qa/help-me-set-up-an-equation-for-this-problem/#respond Tue, 06 Apr 2021 09:27:03 +0000 https://assignmentgeek.com/qa/?p=37 x represents the number of comic books to start

x – 0.5x + 14 = 28

]]> https://assignmentgeek.com/qa/help-me-set-up-an-equation-for-this-problem/feed/ 0 How do I prove or disprove this matrix identity? https://assignmentgeek.com/qa/how-do-i-prove-or-disprove-this-matrix-identity/?utm_source=rss&utm_medium=rss&utm_campaign=how-do-i-prove-or-disprove-this-matrix-identity https://assignmentgeek.com/qa/how-do-i-prove-or-disprove-this-matrix-identity/#comments Tue, 06 Apr 2021 08:10:03 +0000 https://assignmentgeek.com/qa/?p=30 Here is a 2×2 counterexample, easily extendable to n×n: Let A orthogonally project onto one axis, and let B rotate the plane by 90∘. The operation of ABA is to collapse everything down to one axis, then turn that axis, then collapse that axis down to the origin. However, A2=A≠0

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