Answer:
3x - 6
Step-by-step explanation:
Segment YB = x + 3
Segment BW = 2x - 9
Add the two segments.
x + 3 + 2x - 9
3x - 6
The diagonal YW is 3x - 6 units long.
Answer:
<u>j = 2.5s</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Lemon juice (mL) Sugar (gr)
Batch A 500 200
Batch B 750 300
Batch C 1,500 600
2. Write an equation to describe the relationship between j, the amount of lemon juice in mL, and s, the amount of sugar in g.
Ratio = Amount of lemon juice/Amount of sugar
Ratio = 500/200 = 750/300 = 1,500/600
Ratio = 2.5
Now, we can write the equation, this way:
<u>j = 2.5s</u>
Answer: 28.08%
Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.
The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.
561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.
So when the population changes from 438,000 to 561,000, it has increased by 28.08%.
I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.
Given rate: r= 35%= 0.35.
So, first step is to plug in 0.35 for r in the given formula to get the value of t.
Hence, the equation will be:
2000=16000(1-0.35)^t
2000=16000(0.65)^t (By subtraction)
2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)
0.125 = 0.65^t (By simplifying).
log 0.125 = log 0.65^t (Taking log each sides to isolate t).
log 0.125 = t log 0.65 (By applying the log property).
(Dividing each sides by log 0.65)
-0.903/-0.187 =t
t= 4.83
t= 5 ( Rounded to nearest integers)
So, Devon's car is 5 years old.
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Step-by-step explanation:
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