If you subtract Betty's time for the swim, 27.948 seconds, from Nancy's time, 28.004 seconds, you will find that Betty was faster than Nancy by 0.056 seconds. She would be considered the winner of the 50-meter freestyle swim.
Answer:
144
Step-by-step explanation:
The ratio of men to women working for a company is 8 to 5.
Total men and women working as per the ratio is 8+5 = 13
So the ratio of men to total is
the ratio of women to total is
there are 234 employees total
To find the number of men works , we make a proportion
Cross multiply it
8 * 234 = 13x
1872 = 13x
Divide by 13 on both sides
x= 144
Answer:
x =8/9 i dont know if im correct
Answer: C, A, D
edit - sorry the title was wrong earlier
Step-by-step explanation:
Question 1
in the quadratic formula, the equation is in the format of ax^2 + bx + c
so rearrange this equation so all values are on one side
-6x^2 = -9x + 7
-6x^2 + 9x - 7 =0
so a = -6, b = 9, c = -7
answer = C
Question 2
note that all the values are already on one side for this, so repeat the process from question 1 where the equation is in the format of ax^2 + bx + c
the equation = −6x2 − 8x + 12 = 0
so a = -6, b = -8, c = 12
answer = A
Question 3
(see picture below for steps)
following the same process above, a = 4, b = 45, and c = 24, so plug these values in the quadratic equation shown in the picture below
so you get the answers x = -10.69 and x = -0.56 after putting them in a calculator
answer = D
Answer:
Alyssa's team won 20 games.
Step-by-step explanation:
We can introduce a variable that represents how many games Alyssa's team won.
Let x<em> </em>represent how many games Alyssa's team won.
We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.
This would give us the expression 5/7 = x/28.
We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.
Solving for 5/7 = x/28 we have:
5/7 = x/28
We need to isolate x on the right side to do so we can multiply both sides by 28.
5/7 * 28 = x/28*28 simplifying
20 = x.
Therefore the number of games Alyssa's team won is 20 games.