Answer:
x^2 + x-72=0
Step-by-step explanation:
x(x+1) =72
Distribute
x^2 +x = 72
Subtract 72 from each side
x^2 +x - 72 = 0
Now this is the equation we can factor
Answer:
C
Step-by-step explanation:
To solve for c, you need to get c onto one side of the equation, or make it c=__. So what I would do first is subtract a/b from both sides
a/b + c = d/c
-a/b
a/b - a/b + c = d/c - a/b
c = d/c-a/b
<h3>
Answer:</h3>
3) likely
4) 1/2; equally likely
<h3>
Step-by-step explanation:</h3>
3) You are being asked to translate a numerical value to a subjective statement. There are no hard-and-fast rules for this. Generally, the meanings of the terms you're asked to choose from are ...
- impossible: probability is zero. The outcome cannot occur.
- unlikely: chances are less than even; often, "unlikely" means a probability of 10%, 5%, 1% or lower, depending on the context.
- equally likely: probability is near 50%
- likely: more likely than not. Again, this depends on the context.
- certain: probability is 1. There is no chance the outcome will not occur.
An 80% probability is greater than 50%, so might reasonably be called "likely."
___
4) a. Four of the eight numbers are even, so the probability of obtaining an even number at random is 4/8 = 1/2.
b. A probability of 50% might reasonably be called "equally likely", as the probability the event will occur is equal to the probability it won't.
Answer:
13. 108 inches
14. not similar (sides have different ratios)
15. 68
Step-by-step explanation:
13. You have two relationships between length and width:
2L + 2W = 336 . . . . . the perimeter is 336 inches
L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5
Multiplying the second equation by 5/9W, we get
5/9L = W
Now we can substitute that into the first equation to get ...
2L +2(5/9L) = 336
Multiplying by 9 gives us ...
18L +10L = 3024
And dividing by 28 gives ...
3024/28 = L = 108 . . . . inches
___
14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...
2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5
Similar triangles have the same side ratios. These do not, so they are not similar triangles.
__
15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.
