We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.
We can see that the number of units of water being used by customers.
The number of units of water doesn't depend on the total number of gallons of water used.
Therefore, the number of units u is an independent variable.
The value of the total number of gallons is totally depends on the number of units used.
Therefore, the total number of gallons of water used g is a dependent variable.
So, we can conclude following statements:
1) g is the dependent variable.
2) u is the independent variable.
Divide 90 by 1.3 and you will get your answer.
Do it yourself! just follow instructions!
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They buy the van for £8,500 + VAT 20%:
Total paid for the van = £8,500 x 1.20 = £10,200
They make 12 payments of £531.25 for a total of:
12 x £531.25 = £6,375
To find the amount of deposit, subtract the total payments from total cost:
£10,200 - £6,375 = £3,825
The ratio of deposit to the payments is: 3825 : 6375
Reduce the answer by dividing both numbers by 75:
3825/75 = 51
6375 / 75 = 85
The ratio becomes: 51/85
The answers are the following:
<span><span><span>P(A)=0.75</span><span>
</span></span><span><span>P(B|A)=0.9
</span></span><span><span>P(B|<span>A′</span>)=0.8
</span></span><span><span>P(C|A∩B)=0.8
</span></span><span><span>P(C|A∩<span>B′</span>)=0.6
</span></span><span><span>P(C|<span>A′</span>∩B)=0.7
</span></span><span><span>P(C|<span>A′</span>∩<span>B′</span>)=0.3</span></span></span>
Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
