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
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Answer:
A
Step-by-step explanation:
Since we're dealing with perpendicular lines, we take the recipricol of the m value of the original equation.
So the slope we're dealing with is 1/2.
And the equation we have so far is
y = 1/2x + b
Now we solve for b by plugging in the point (4,2).
2 = 1/2(4) + b
2 = 2 + b
b = 0
So the final equation is
y = 1/2x
Answer:
7. 163 pizzas
8. 4 pencils
Step-by-step explanation:
7. 1,956 divided by 12 equals 163
8. 
= 33 
