Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Which relation is a function? Question 3 options: {(1, 2); (1, 3); (1, 4); (1, 5)} {(1, 2); (2, 3); (3, 4); (4, 5)} {(1, 2); (3,
NeTakaya
To be a function for every identical x value it has to have a different Y value. If the set has two identical X values but they have different Y values it can't be a function.
The set that is a function is:
{(1, 2); (2, 3); (3, 4); (4, 5)}
1) Data:
Meal calories consumed
Breakfast 400 cal
Lunch 350 cal
Dinner x
------------------
Total 400 + 350 + x = 750 + x
2) Equation: <span>
She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x
3) Analyze each statement:
</span><span>a) Lena
consumed 1500 cal at dinner.
Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>
2(750+x) = 3x
1500 + 2x = 3x
1500 = 3x - 2x
x = 1500
Conclusión: TRUE stament.
b) Do you equation 2/3 (x+400+350)=x can be
used to model the situation.
That is the same equation that I found above.
Conclusion: TRUE statement
c) Lena consumed 500 cal at dinner.
She consumed (2/3) * 1500 = 500 cal
Conclusion: TRUE statement
d) Lena
consumed 1000 cal at dinner.
No, we calculated that she consumed 500 cal at dinner.
Conclusion: FALSE statement
e) The equation 2/3(x)=x(400+350) can be used
to model the situation.
No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.
Conclusion: FALSE statement.
f) The equation 2/3x(400+350)=x Can’t be used to
model the situation
No: in that equation the variable x cancels out because it appears a factor at both sides.
</span>Conclusion: TRUE statement
The rate is (32,800 - 18,000) = 14,800 per 5 years
<span>therefore : </span>
<span>in 2015 = 2010 + 5 years </span>
<span>the pop. will be : </span>
<span>32,800 + 14,800 = 47,600
Hope this helped☻</span>
The side of a cube when the diagonal is known is found using the formula:
Side = √3 * diagonal/3
Replace diagonal with 20:
Side = √3 * 20/3
Side = √3 * 6 2/3
Side = 11.547 cm (Round the answer as needed).
