Answer: x = 10
Explanation: To solve this equation for <em>x</em>, we start by distributing the 2 through the parentheses on the left side.
So we have 2 times <em>x</em> which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.
Solving from here,
we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that <em>x = 10</em>.
We can check our answer by substituting a 10 back in for <em>x</em> in the original equation and we have 2(10 - 3) = 14.
10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.
The correct answer will be 5z^3
First you make them mixed numbers:
9/2 ÷ 19/8
Then you flip the second fraction around
9/2 ÷ 8/19
Then you change ÷ to ×
9/2 × 8/19
And then multiply across!
72/38 = 1 34/38 = 1 17/19 (the final answer)
Hope this helps!
Answer:
1920 men are there in college.
Step-by-step explanation:
Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.
Ratio states that it is just a comparison between, or a relating of, two different things.
i.e a to b or a: b
Ratio of men to women:
Men : Women = 6: 5
Let x be the number.
Total number of Men in college = 6x and Total number of women = 5x
Since, total number of students = 3520
⇒
Combine like terms;
11x = 3520
Divide by 11 on both sides we get;
x = 320
Therefore, total number of men in college = 6x = 6(320) = 1920
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is 
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have
and 2z and -13z are like terms, so we can sum them:
Finally we arrive to the whole expression, which is
Because, again, 5z and 11z were like terms.
