Answer:
<em>In the second group the individual members received a larger fraction of the prize money</em>
Step-by-step explanation:
<u>Division by Sharing</u>
A certain amount M can be evenly split among n parties by performing a division M/n.
The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.
The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.
By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.
We can conclude in the second group the individual members received a larger fraction of the prize money
The value of sin(2x) is
Explanation:
Given that
The formula for is
Since,
Also, it is given that
Thus, and
To find the hypotenuse, let us use the pythagoras theorem,
Now, we can find the value of sin x and cos x.
Now, substituting these values in the formula for sin 2x, we get,
Thus, the value of sin(2x) is
Answer:
y = 1x - 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
Answer:
-0.5 is the larger average rate
Step-by-step explanation:
-3.142 is less than -0.5