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-Dominant- [34]
3 years ago
9

A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right

, or diagonally upwards. How many different paths can be traced from A to B?

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Step-by-step answer:

If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then

there are three choices at A.

At the next position, whichever path one has taken, there are also three choices.

At the following position, there are no more choices.

Therefore, there are 3*3 = 9 different paths.

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Beth rides 1 7/32 kristine rides 39/32 who rides the farthest
Citrus2011 [14]
Neither, they ride the same. 

First, convert 39/32 to a mixed number. Since it equals 1 7/32, and that's how much beth rode, they both rode the same. 
3 0
3 years ago
When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses \dfrac{2}{3} cups of shortening for every 2\dfrac{1}{2} = \dfrac{5}{2} cups of flour.

So, for each \dfrac{2}{3} cup of shortening she uses \dfrac{5}{2} cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be  

\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15} i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0
3 years ago
∆ABC rotates around point D to create ∆A'B'C'. However, only is shown. Based on the position of , what are the coordinates of A'
earnstyle [38]
Well if you are talking to me about the following graphic <span>http://contentlaunch.ple.platoweb.com/testimagedb/53/5377183edb46ae5c5177efb0f9dfbbd1 then we have to say that it would be 4,1. Right there you can find A. Hope this has helped you</span>
3 0
3 years ago
Read 2 more answers
The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equatio
Zigmanuir [339]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

3 0
4 years ago
a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb
bogdanovich [222]
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
5 0
3 years ago
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