A new soup recipe contains 335, percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.
Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe?
Choose 2 answers:
A) $\frac{65}{100}x$
B) $0.65x$
C) $1.35x$
D) $1.65x$
E) $3.35x$
The amount of sodium in the new soup recipe is $100\% - 35\% = 65\%$ of the amount of sodium in the old soup recipe. So, the amount of sodium in the new recipe is $\frac{65}{100}x=\boxed{\textbf{(A)}\ \frac{65}{100}x\text{ and }\textbf{(B)}\ 0.65x}$.
NO!! This are the options.
Choose 2 answers:
A. 0.33x
B. x - 33
C. 0.67x
D. x - 33x
E. (1 - 33/100) x
To find the amount of sodium per serving in the new soup recipe, we need to subtract 33 percent from the old amount. This can be written as $\left(1 - \frac{33}{100}\right)x.$ Simplifying this expression gives $\left(\frac{100 - 33}{100}\right)x = \frac{67}{100}x.$ Therefore, the correct expressions for the amount of sodium in the new soup recipe are $\boxed{\textbf{(C)}\ 0.67x \text{ and } \textbf{(E)}\ \left(1 - \frac{33}{100}\right)x}.$
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On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75%, percent of the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?
Choose 2 answers:
A. h (1 - 0.75)
B. (1 - 75/100) h
C. 3/4h
D. 0.75h
E. 1/4h
Florencia's hair was only 75% of its original length after the haircut.
This can be expressed as $0.75h$, where $h$ represents the original length of her hair.
Additionally, we can also express this as $(1 - \frac{75}{100})h$. Simplifying this expression gives $(1 - \frac{3}{4})h$, which is equivalent to $\frac{1}{4}h$.
Therefore, the correct expressions for the length of Florencia's hair after the haircut are $\boxed{\textbf{(D)}\ 0.75h\text{ and }\textbf{(E)}\ \frac{1}{4}h}$.
To find the amount of sodium per serving in the new soup recipe, we need to calculate 335% less sodium than the old soup recipe.
First, let's convert 335% to a decimal by dividing it by 100:
335% ÷ 100 = 3.35
So, the new soup recipe contains 3.35 times less sodium than the old soup recipe.
Now, to represent the amount of sodium per serving in the new soup recipe, we can use the following expressions:
1) x - x * 3.35
This expression calculates the amount of sodium in the old recipe (x) minus 3.35 times less sodium. It gives the amount of sodium per serving in the new soup recipe.
2) x * (1 - 3.35)
This expression multiplies the amount of sodium in the old recipe (x) by the fraction (1 - 3.35), which represents 1 minus 3.35 times less sodium. It also gives the amount of sodium per serving in the new soup recipe.
Therefore, the correct answers are:
1) x - x * 3.35
2) x * (1 - 3.35)