a.
Let
5x = number of games won
2x = number of games lost
The total number of win and lose is 154. So
5x + 2x = 154
Solving for x,
7x = 154
x = 22
Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.
b.
Let
6x = first side of the triangle
7x = second side of the triangle
9x = third side of the triangle
The perimeter of a triangle is the total of all sides. So,
6x + 7x + 9x = 88
22x = 88
x = 4
Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36
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Answer: Y = 4x - 12
Step-by-step explanation:
Well, the reason for this is because y can be anything because there are 2 unknown terms in the equation. Thus, the answer to y can be many different answers. The one common thing that all of these answers have is that they have only 1 expression (An equation without equal sign) to solve it. This expression is the answer to y, but it can be changed judging by the answer of x. That is why you cannot determine an exact answer to y with there being many, so you have to write the expression to get y. Which you can find out by:
12 (Part) + y (Part) = 4x (Whole)
So to figure out one part do the whole minus the other part which is why 4x is our answer:
4x (Whole) - 12 (Other Part)
This is called part-whole postulate.
Hope this helps!
I believe the answer to this is F and i think D also
Answer:
The temperature a t = 0 is 190 °F
The temperature a t = 1 is 100 °F
The temperature a t = 2 is 77.5 °F
It takes 1.5 hours to take the coffee to cool down to 85°F
It takes 2.293 hours to take the coffee to cool down to 75°F
Step-by-step explanation:
We know that the temperature in °F, of a cup of coffee t hours after it is set out to cool is given by the following equation:
a) To find the temperature a t = 0 you need to replace the time in the equation:
b) To find the temperature after 1 hour you need to:
c) To find the temperature after 2 hours you need to:
d) To find the time to take the coffee to cool down , you need to:
e) To find the time to take the coffee to cool down , you need to:
Answer:
Step-by-step explanation:
The first four terms of geometric series is:
Since, we have given information that the third number is greater than 44 that means:
Above equation can be rewritten as:
Now, using:
Here, a=r,b=1
(1)
The sum of first four terms is:
(2)
Divide equation (2) by (1) we get:
CASE1: When r=2 in
CASE2:When r=3 in
The series becomes:
From CASE1:
From CASE2: