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yaroslaw [1]
3 years ago
8

If x, 2, x+2, 6 are in proportion ,find the value of x​

Mathematics
2 answers:
jonny [76]3 years ago
5 0

Answer:

Answer is 6 the value of x is 6

Masteriza [31]3 years ago
5 0

Answer:

x = 1

Step-by-step explanation:

If x and 2 are in proportion and x+2 and 6 are in proportion, we can make them equal. We can do that by doing:

\frac{x}{2} = \frac{x+2}{6}

After cross-multiplying, we get 2x+4 = 6x.

Subtract 2x on both sides and we get 4 = 4x

divide 4 on both sides and we get x = 1

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Solve for P:<br><br> 9(p−4)=−18<br><br> Please Explain
vekshin1

Answer:

<em>p</em> = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.

9(<em>p</em> - 4) = -18

9*<em>p</em> - 9*4 = -18

9<em>p</em> - 36 = -18

Add 36 on both sides to isolate the variable (in this case, <em>p)</em>

9<em>p</em> = -18 + 36

You can also write it like this; 9<em>p</em> = 36 - 18

9<em>p</em> = 18

Divide 9 to isolate <em>p</em>

<em>p</em> = 2

So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

3 0
3 years ago
Factorise each of the following algebraic expressions completely,
LekaFEV [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

2k - 6k² + 4k³ ← factor out 2k from each term

= 2k(1 - 3k + 2k²)

To factor the quadratic

Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)

The factors are - 1 and - 2

Use these factors to split the k- term

1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )

1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term

= (1 - k)(1 - 2k)

1 - 3k + 2k² = (1 - k)(1 - 2k) and

2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)

(b)

Given

2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )

= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term

= (x - 2y)(2a + 3b)

8 0
3 years ago
What is 54% of 450 on carnegie
Nadusha1986 [10]
54:450*100 =

(54*100):450 =

5400:450 = 12
7 0
3 years ago
Which equation is represented by the graph?
Trava [24]

Answer:

y (x+1) this is your answer

3 0
3 years ago
Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p
vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

                      Beginning     Interest   Payment   Ending Balance

1st month    sh. 100,000    sh. 1,000    sh. 10,000    sh. 91,000

2nd month    sh. 91,000       sh. 910    sh. 10,000     sh. 81,910

3rd month      sh. 81,910        sh.819    sh. 10,000    sh. 72,729

4th month    sh. 72,729       sh. 727    sh. 10,000    sh. 63,456

5th month   sh. 63,456       sh. 636    sh. 10,000    sh. 54,092

6th month   sh. 54,092       sh. 541     sh. 10,000    sh. 44,633

7th month   sh. 44,633       sh. 446    sh. 10,000    sh. 35,079

8th month  sh. 35,079        sh. 351     sh. 10,000    sh. 25,430

9th month  sh. 25,430       sh. 254     sh. 10,000    sh. 15,684

10th month sh. 15,684        sh. 157     sh. 10,000      sh. 5,841

11th month    sh. 5,841         sh. 58      sh. 5,899       sh. 0

Total interest paid =       sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

#SPJ1

8 0
2 years ago
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