All categories

3 years ago

If m proportional to n and m=5 when n=4.what is the valuue of m?when n=18

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Answer:

m=22.5

Step-by-step explanation:

m is proportional to n means there is some constant k such that:

m=kn

If m=5 when n=4 then we have the following equation to solve for our constant k:

5=k(4)

5=4k

Divide both sides by 4:

5/4 =k

So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.

m=(5/4)n

What is m when n=18?

m=(5/4)(18)

m=(5/2)(9)

m=45/2

m=22.5

You might be interested in

SOMEONE PLEASE HELP WITH MY MATH ON MY ACCOUNT PAGE

Ugo [173]

Answer:

Ok! :)

Step-by-step explanation:

8 0

3 years ago

Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same a

iragen [17]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Amount Josh earn each summer = $2700

Rate of simple interest = 4.5%

According to question, he deposits the same amount each year.

First summer, he deposited = $2700

In Second summer, he deposited = $2700×2= $5400

In Third summer, he deposited = $2700 × 3=$8100

At the end of his third summer, his money becomes,

$\text{Simple Interest}=\frac{P\times R\times T}{100}\\\\\text{Simple Interest}=\frac{8100\times 4.5\times 1}{100}\\\\\text{Simple Interest}=\$364.5$

As we know the formula for "Amount" that it becomes at the end of his third summer:

$Amount=P+S.I\\\\Amount=\$8100+\$364.5\\\\Amount=\$8464.5$

Hence, Option 'B' is correct.

6 0

4 years ago

He number of 90° angles formed by the intersections of and the two parallel lines and is .

DiKsa [7]

A line perpendicular to the two parallel lines would create 8 right angles.

7 0

3 years ago

Read 2 more answers

Evaluate the logarithm.<br> log2 16

solong [7]

Answer:

$log_2 (16) = 4$

Step-by-step explanation:

Here, the given expression is:

$log_2 (16)$

Now,as we know:

$log_b(b^k) = k$

Now, $log_2 (16) = log_2 (2^{(4)})$

Applying this to the given expression, we get:

$log_2 (2^{(4)}) = 4$ where: b = 2, and k = 4

Hence, $log_2 (16) = 4$

6 0

3 years ago

Solve for m 1/C+1/m=1/z

9966 [12]

Answer: " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given: 1/C + 1/m = 1/z ; Solve for "m".

Subtract "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C ;

to get: 1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________

mzC {1/m = 1/z − 1/C} ;

to get: zC = mC − mz ;

Factor out an "m" on the "right-hand side" of the equation:

zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;

zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24

zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
___________________________________________________

4 0

3 years ago