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3 years ago

Which statement is true?

Mathematics

2 answers:

deff fn [24]3 years ago

3 0

Answer: The true statement is (B). If a recipe calls for $1\dfrac{1}{2}$ cup of grated cheese and Dion grates $\dfrac{1}{2}$ cup of cheese, he needs to grate another $\dfrac{1}{6}$ cup to have enough cheese.

Step-by-step explanation: We are given four statements out of which we are to find the TRUE one.

(1) Number of cups of salad dressing made by Kim is

$C=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{cups},$

and number of cups of salad used by Kim is

$C_1=\dfrac{2}{3}~\textup{cup}.$

Therefore, number of cups left is given by

$C_2=C-C_1=\dfrac{3}{2}-\dfrac{2}{3}=\dfrac{9-4}{6}=\dfrac{5}{6}\neq \dfrac{5}{12}.$

Thus, this statement is FALSE.

(2) Number of cups of grated cheese required for the recipe is

$D=\dfrac{2}{3}~\textup{cup},$

and number of cups of cheese grated by Dion

$D_1=\dfrac{1}{2}~\textup{cup}.$

Therefore, number of cups of cheese he needs to grate to have enough cheese is given by

$D_2=C-C_1=\dfrac{2}{3}-\dfrac{1}{2}=\dfrac{4-3}{6}=\dfrac{1}{6}.$

Thus, this statement is TRUE.

(3) Number of ponds of nuts bought by Alko is

$E=\dfrac{5}{6}~\textup{pound},$

and number of ponds of nuts ate by Alko is

$E_1=\dfrac{1}{4}~\textup{pound}.$

Therefore, number of ponds of nuts left is given by

$E_2=E-E_1=\dfrac{5}{6}-\dfrac{1}{4}=\dfrac{10-3}{12}=\dfrac{7}{12}\neq \dfrac{1}{2}.$

Thus, this statement is FALSE.

(4) Number of cups of flour that Leo has is

$F_1=\dfrac{1}{3}~\textup{cup},$

and number of cups of flour needed for the recipe is

$F=\dfrac{2}{3}~\textup{cup}.$

Therefore, number of cups of flour that Leo needs is given by

$F_2=F-F_1=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}\neq \dfrac{1}{2}.$

Thus, this statement is FALSE.

Thus, (B) is the correct statement.

Hatshy [7]3 years ago

3 0

The statement B is true as “a recipe calls for $\dfrac{2}{3}$ cup of grated cheese and Dion grates $\dfrac{1}{2}$ cup of cheese, he needs to grate another $\dfrac{1}{6}$ cup to have enough cheese”.

Further explanation:

Option A is not correct if Kim makes $1\dfrac{1}{2}$ cups of salad dressing and uses $\dfrac{2}{3}$ cup, there is $\dfrac{5}{{12}}$ cup left.

Option B is not correct if a recipe calls for $\dfrac{2}{3}$ cup of grated cheese and Dion grates $\dfrac{1}{2}$ cup of cheese, he needs to grate another $\dfrac{1}{6}$ cup to have enough cheese.

Option C is not correct “if Alko buys $\dfrac{5}{6}$ pound of nuts and eats \frac{1}{4} pound, he doesn’t left with $\dfrac{1}{2}$ pound.