Leena consumes 400 cal at breakfast and 350 cal at lunch. She consumes 2/3 of her daily calories at dinner. If X represents the calories consumed at dinner, which statements describe the situation? Check all that apply. Lena consumed 1500 cal at dinner. Do you equation 2/3 (x+400+350)=x can be used to model the situation. Lena consumed 500 cal at dinner. Lena consumed 1000 cal at dinner. The equation 2/3(x)=x(400+350) can be used to model the situation. The equation 2/3x(400+350)=x Can’t be used to model the situation
2 answers:
Answer:
The answer above is confusing and incorrect, the correct answer is A and B. The answers are contradicting, though it is somewhat explained.
Step-by-step explanation:
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
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For the division part:
But I think your question differs than this..
Am I right?
as your options do not include 1
Step-by-step explanation:
a. ( p × q ) ( q + r )
= ( -24 × 12 ) ( 12 + -6 )
= 288 × 18
= 5184
b. ( p × r ) ( r - q )
= ( -24 × -6 ) ( -6 - 12 )
= ( 144 ) ( -18 )
= -2592
Answer:
√308 or 17.5
Step-by-step explanation:
c^2=a^2+b^2
c^2-a^2=b^2
Substitute
18^2-4^2=b^2
324-16=b^2
b^2=308
b=√308 or b=17.5
Answer:
d
Step-by-step explanation:
smallest slope
Guessing that the 3 was suppose to be an exponent. The answer written in standard form is : 4x^3 + 10x - 4 This is called a cubic trinomial.