Solve the proportion -4/7 = 6/2y+5

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

4 0

Hope this is helpful :)

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An army contingent of 104 members is to march behind an army band of 96 members in a parade.

Trava [24]

You can dispose a number $x$ of elements in a matrix-like formation with $n\times m$ shape if and only if $n$ and $m$ both divide $x$ , and also $nm=x$ .

So, we need to find the greatest common divisor between $104$ and $96$ , so that we can use that divisor as the number of columns, and then.

To do so, we need to find the prime factorization of the two numbers:

$104 = 2^3\times 13$

$96 = 2^5 \times 3$

So, the two numbers share only one prime in their factorization, namely $2$ , but we can't take "too many" of them: $104$ has "three two's" inside, while $96$ has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include $3$ nor $13$ , because it's not a shared prime.

So, the greater number of columns is $2^3=8$ , which yield the following formations:

$104 \to 8\times 13$

$96 \to 8\times 12$

3 0

3 years ago

Which statement is true?

blagie [28]

A is the correct answer

4 0

3 years ago

Read 2 more answers

Help me please. what is the solution for<br> 4≤n−4

notka56 [123]

Answer:

n $\geq$ 8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

$4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8$