Answer:
4 lbs
Step-by-step explanation:
There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds. 64 ÷ 16 = 4 lbs
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: 53
Step-by-step explanation:
Alice would receive 15 pens while Henry would receive 9.
They are both equal to 2/10 because 4/10 divided by 2 is the same as 4/10 x 1/2
