Please help me with this problem

Mathematics

2 answers:

Nataly [62]3 years ago

8 0

6 gallons per minute

boyakko [2]3 years ago

4 0

The answer is 6. You just divide 24 by 4.

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200 years ago, as it became more and more evident that the

svp [43]

Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call $A$ the american population, $B$ the British population before the migration, and $x$ the population that migrated from America to Britannia.

Now, the population $x$ that migrated was 20% of the american population:

$(1).\: \: x = 0.2A$ ,

and the same population $x$ increase the British population by 4%:

$x+B = 1.04B \\\\ (2). \:\:x = 0.04B.$

Combining equation (1) and (2) we get:

$0.2A = 0.04B$

$A = \dfrac{0.04B}{0.2}$

$\boxed{A = 0.2B}$

Thus, the American population was 20% of the British population.

5 0

3 years ago

Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$