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3 years ago

How does knowing properties of exponents

Mathematics

1 answer:

Amanda [17]3 years ago

7 0

Answer:

It makes it easier to understand math and helps you answer the problem of which math you are doing.

Step-by-step explanation:

They are just a method used to do math

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The number of students in a book club is increasing 15% per year. If there were 21 students in the club in 2010, then how many w

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The Answer is 63

Step-by-step explanation:

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2 years ago

the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z eac

Studentka2010 [4]

For the units positions of all numbers we have:
$z+7+5=4 \\ z+12=4$
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
$z+12=14 \\ z=2$

For the tens positions of all numbers we have:
$4+2+x+1=1 \\ 7+x=1$
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
$7+x=11 \\ x=4$

Now we insert x and z to find out y:
$42+27+45=y14 \\ 114=y14 \\ y=1$

Now we need to find out the product of these three numbers:
$x*y*z=4*1*2=8$

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3 years ago

One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa

Softa [21]

One out of one million

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3 years ago

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Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to

vova2212 [387]

<span>Let x = amt of water evaporated :.05(50) = .08(50-x) 2.5 = 4 - .08x .08x = 4 - 2.5 .08x = 1.5 x = 18.75 lb of water evaporated : ; Check; amt of salt remains the same, only the percentage is different, right? .05(50) = .08(50-18.75) .05(50) = .08(31.25) 2.5 = 2.5</span>

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3 years ago

How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in

Elodia [21]

9514 1404 393

Answer:

9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

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<em>Additional comments</em>

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

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2 years ago