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Ad libitum [116K]
3 years ago
6

The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3

years older than the other
Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

the first one must be 39.5 and the other 42.5

Step-by-step explanation:

multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.

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How many terms are in the binomial expansion of (2x 3)5? 4 5 6 7
padilas [110]

In the binomial expansion (2x + 3)^5 , there are 6 terms.

According to the question, given that

Binomial expansion  (2x + 3)^5

Number of terms in a binomial expansion of (x + y)^n is

N = n + 1 words in total

In the binomial expansion (2x + 3)^5

n = 5

N = 5 + 1 = 6

Therefore, In Binomial expansion  (2x + 3)^5 there are 6 terms.

The algebraic expression (x + y)n can be expanded according to the binomial theorem, which represents it as a sum of terms using separate exponents of the variables x and y. Each word in a binomial expansion has a coefficient, which is a numerical value.

The formula for expanding the exponential power of a binomial expression is provided by the binomial theorem, sometimes referred to as the binomial expansion. The following is the binomial expansion of (x + y)n using the binomial theorem:

(x+y)^n = n_C_{0} * n_y_{0} + n_C_{1}  * n-1_y_{1} + n_C_{2} * n-2_ y_{2} + ... + n_C_{n-1} * 1_y_{n-1} + n_C_{n} * 0_y_{n}

To learn more about binomial theorem visit here : brainly.com/question/2165968

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8 0
1 year ago
-3r +9 = -4r +5<br>what's r?​
-BARSIC- [3]

Answer:

-4

Step-by-step explanation:

-3r+9=-4r+5

-3r+4r=5-9

r=-4

8 0
3 years ago
Read 2 more answers
The flow of water from a faucet can fill a
mash [69]

Answer:

3/18 gallons/seconds, or 1/6 gallons/seconds

Step-by-step explanation:

We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.

Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.

One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.

Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).

To find the greatest common factor, we can list factors and find the greatest one among them.

We have two numbers, 3 and 18.

The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get

3/18 = 1/6 gallons/seconds as our answer

8 0
3 years ago
camilla makes and sells jewelry. She has 8,160 silver beads and 2,880 black beads to make necklaces. Each necklace will contain
PIT_PIT [208]
96 necklaces

You divide the amount of beads total by the amount of beads on each necklace.
( 8160 divided by 85 and 2880 by 30)
7 0
3 years ago
Read 2 more answers
Solve the triangle: a = 25, c = 25, B = 25°. If it is not possible, say so.
ikadub [295]
B= 10.822
A= 77.5 degrees
C= 77.5 degrees
7 0
3 years ago
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