Answer:
15 possible outcomes
Step-by-step explanation:
Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,
m1 = 5 outcomes
m2 = 2 outcomes
m3 = 4 outcomes
m4 = 4 outcomes
5 + 2 + 4 + 4 = 15
we can see that there are a total of 15 possible outcomes
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:
LO/LP = LM/LN
22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
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Cross-multiplying:
30x + 360 = 22x + 374
Isolating x to one side of the equation by subtracting 22x and 360 from both sides:
30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75
Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75
Therefore the value of LP is 13.75 in.
The answer is 16. 1^2 is 1, 2^2 is 4, 3^2 is 9, and 4^2 would be 16.
First, you add 1 to both sides. Then square both sides to get rid of the square root. After that you just solve it like a normal equation when you are left with 4x-2=9.
Answer:
Step-by-step explanation:
a)
x= gourmet pretzels
y= boxes of strawberries
system will be:
b)
a box of strawberries is 6.5
