Answer: 2 and 1/2 is correct
Step-by-step explanation:
you isolate the variable by dividing each side by factors that don't contain the variable
Answer:
c
Step-by-step explanation:
sum of two numbers x and y is 140
x+y=140
the difference between x(the larger number) and y( smaller number)
x-y=32
Answer: Only Option 'A' and 'B' are correct.
Step-by-step explanation:
Since we have given that
Number of calories she consumed at breakfast = 400
Number of calories she consumed at lunch = 350
Let number of calories she consumed at dinner be x
According to question,
She consumes
of her daily calories at dinner,
So, it becomes,
![\frac{1}{3}\times Total=400+350\\\\\frac{Total}{3}=750\\\\Total=750\times 3=2250](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20Total%3D400%2B350%5C%5C%5C%5C%5Cfrac%7BTotal%7D%7B3%7D%3D750%5C%5C%5C%5CTotal%3D750%5Ctimes%203%3D2250)
so, Number of calories she consumed at dinner is given by
![\frac{2}{3}\times total =x\\\\\implies x=\frac{2}{3}\times 2250=1500](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20total%20%3Dx%5C%5C%5C%5C%5Cimplies%20x%3D%5Cfrac%7B2%7D%7B3%7D%5Ctimes%202250%3D1500)
And by option 'B' we get,
![\frac{2}{3}(x + 400 + 350) = x \\\\x+750=\frac{3}{2}\times x=\frac{3x}{2}\\\\750=x-\frac{3x}{2}\\\\750=\frac{3x-2x}{2}\\\\750=\frac{x}{2}\\\\750\times 2=x\\\\1500=x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%28x%20%2B%20400%20%2B%20350%29%20%3D%20x%20%5C%5C%5C%5Cx%2B750%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20x%3D%5Cfrac%7B3x%7D%7B2%7D%5C%5C%5C%5C750%3Dx-%5Cfrac%7B3x%7D%7B2%7D%5C%5C%5C%5C750%3D%5Cfrac%7B3x-2x%7D%7B2%7D%5C%5C%5C%5C750%3D%5Cfrac%7Bx%7D%7B2%7D%5C%5C%5C%5C750%5Ctimes%202%3Dx%5C%5C%5C%5C1500%3Dx)
so, only Option 'A' and 'B' are correct.
Answer:
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