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3 years ago

?! if you make $360 a week what is your yearly wage ?

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Answer:

$18,720

Step-by-step explanation:

yKpoI14uk [10]3 years ago

7 0

Answer:

18,720

Step-by-step explanation:

there are approximately 52 weeks in a year

You might be interested in

5-78 what does that give me

Sholpan [36]

5 -78 is equal to (-73)

4 0

3 years ago

Read 2 more answers

What is the fraction twelve twentieths in its simplest form

Alla [95]

You mean $\frac{12}{20}$ or $\frac{20}{12}$ ?

If you had meant, $\frac{12}{20}$ , then the simplest form of this fraction would be - $\frac{3}{5}$

Divide both parts of the fraction by 4, and you get $\frac{3}{5}$ the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - $\frac{20}{12}$
Flop the simplest form of the previous fraction, that's $\frac{5}{3}$

If you had meant $\frac{20}{12}$ , then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - $\frac{3}{5}$ or $\frac{5}{3}$ . We can't divide it any further. So, we know that it is in its simplest form.

L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
$\frac{12}{20}$ or $\frac{20}{12}$

1) Divided by 2 = $\frac{6}{10}$ or $\frac{10}{6}$

2) Next, also by 2 = $\frac{3}{5}$ or $\frac{5}{3}$

That took much longer, right. So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.

3 0

3 years ago

Read 2 more answers

It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next lay

Hitman42 [59]

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.
If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.
If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.
Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10
Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

8 0

2 years ago

Solve the equation x. 3 = x/3 + 4

Gennadij [26K]

Answer:

x = 5

Step-by-step explanation:

3 = x/ 3 + 4

This is same as

3/1 = x/ 3 + 4

Then cross multiply

1(x + 4) = 3× 3

x + 4 = 9

x = 9 - 4

x = 5

8 0

3 years ago

A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.

Finger [1]

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)

6 0

3 years ago

?! if you make $360 a week what is your yearly wage ?​

?! if you make $360 a week what is your yearly wage ?