Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
Area of triangles:
0.5x9=4.5
4.5x2=9 (i divided 4 (the amount of triangles) by 2 instead of dividing 4.5 by 2)
area of square:
0.5x0.5=0.25
surface area of whole thing:
9+0.25=9.25
so the answer is 9.25
hope this helps :)
Answer:
118/125
Step-by-step explanation:
We can find first the probability that there isn’t suitable weather:
60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125
now we have just to do this operation
125/125 - 27/125 = 118/125
Answer:
Stock A
Stock B
Step-by-step explanation:
When we say something is increased (or decreased) by a percentage, we mean that the percentage of the original amount is added to (or subtracted from) the original amount.
Of course, you know that 5% = 5/100 = 0.05, so that an increase of 5% in d would be ...
d + 0.05d . . . . . 5% of the original amount (d), added to d
Factoring out d gives another version of this expression:
d(1 +0.05)
and combining the numbers gives yet another version of the same expression:
1.05d
These are the ways that the increase in Stock A can be expressed:
d +0.05d
d(1 +0.05)
1.05d
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Similarly, if the "increase" is negative, as for Stock B, we can use the same sorts of expressions. +0.05 gets replaced by -0.05, but the form of the expression is the same.
d - 0.05d . . . . . the original amount decreased by 5%
d(1 -0.05) . . . . .d factored out
0.95d . . . . . . . . the numerical coefficient simplified
First, we must find the unit rate in other words, we must find how much miles the car travels in 1 hour or vice-versa.
Now, plug in the ten instead of a 1 in the proportion of,
This is simply because 1*10=10 and 43*10=430.
I hope this helps!!
