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Nostrana [21]
3 years ago
11

The numerator of a certain fraction is to its denominator as 2 to 3; if 5 be added to the numerator the ratio will be as 3 to 2;

what is the fraction?
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0
N= numerator
D= denominator

N:D ==> 2:3

2:3, 4:6, 6:9... And so on...

The pattern here is that the numerator increases by 2 and the denominator by 3. Easy right?

Now 5 is added to the "n".

Now it is N:D ==> 3:2

3:2, 6:4, 9:6... And so on...

The pattern here is inverted then the 2:3 one.

If I'm right then which one (you might have to continue the process/pattern) then one of them will increase by 5.

3 => 2 = +1 (2+1=3)
6 => 4 = +2 (4+2=6)
9 => 6 = +3 (6+3=9)
12 => 8 = +4 (8+4=12)
15 => 10 = +5 (10+5=15)
18 => 12= +6 (12+6=18)

Q. Which one is +5?

A. 15:10

That is what "I" think it is.

Now, the question is,
Does it work? Does it fit the above description?

Q. Does it even work? Does it fit the above description?
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Lady_Fox [76]

Jerry is paid $6 per hour. He worked 1 hour and 10 minutes.

So, we'll need to find out how much he is paid per minute. We'll divide $6 by 60 minutes; which will give us $0.10 per minute.

For the 10 minutes extra he worked, we'll multiply by $0.10.

10 x 0.10 = 1

This shows that he earned an extra $1 for the additional 10 minutes he worked.

He earned $6 for the full hour plus $1 for the additional 10.

6 + 1 = 7

Therefore, Jerry earned $7.00 for his time worked on that day.


8 0
3 years ago
Please answer this question now
yan [13]

Answer:

This is simple! (Kind of)

Step-by-step explanation:

First, notice how HJ is tangent. HG is a radius intersecting HJ at H.

This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.

Thus, we can use the 180* in a triangle theorem.

180=90+54+6x+6

So, let's solve!

30=6x\\5=x

So, there you go! Nice and simple!

Hope this helps!

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8 0
3 years ago
Read 2 more answers
At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began t
zalisa [80]

Answer:

s = 2t

Step-by-step explanation:

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

2 inches = 1 hour

10 inches = x hour

2x = 10

x = 10/2

x = 5

Creating an equation

S ∝ t

S = kt

k = s/t

k = 2/1

k = 2

The equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling is

S = 2t

8 0
3 years ago
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melamori03 [73]

Answer:

AB ,AE

Step-by-step explanation:

3 0
3 years ago
A major airline is concerned that the waiting time for customers at its ticket counter may be exceeding its target average of 19
sertanlavr [38]

Answer:

a) Statement is true

b) Statement incorrect. Company goal is to attend customer at 190 second at the most. So test should be one tail test  (right)

c) We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

Step-by-step explanation:

a)  as the significance level is = 0,02  that means  α = 0,02 (the chance of error type I )  and the β (chance of type error II   is

1  -  0.02  =  0,98

b) The company establishe in 190 seconds time for customer at its ticket counter (if this time is smaller is excellent ) company is concerned about bigger time because that could be an issue for customers. Therefore the test should be a one test-tail to the right

c) test statistic

Hypothesis test should be:

null hypothesis                H₀   =  190

alternative hypothesis    H₀   >  190

t(s)  =  ( μ  -  μ₀ ) / s/√n      ⇒   t(s)  = ( 202 - 190 )/(28/√100 )

t(s)  = 12*10/28

t(s)  = 4.286

That value is far away of any of the values found for 99 degree of fredom and between  α  ( 0,025 and 0,01 ). We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

If we look table  t-student we will find that for 99 degree of freedom and α = 0.02.

3 0
3 years ago
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