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
Answer:
1 3/8 pints
Step-by-step explanation:
(2 3/4 cups) × (1 pint)/(2 cups) = 1 3/8 pints
_____
Units conversion is conveniently done using a fraction that is equal to 1: its numerator and denominator express the same quantity, but in different units. The units are chosen so that after unwanted units are cancelled, you end up with the desired units.
Answer:
210
Step-by-step explanation:
you have to multiple 15 by 14
Answer:
if this shape has greater that's obtuse
The correct answer should be 7 levels for the entirety of the week. However, there are two solutions that satisfy this question so perhaps it is really asking how many additional levels he is able to beat. In this case, the answer should be B: x > 5 2/3
