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28.08.2020 •
Mathematics
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies how many tablespoons of vanilla are needed per dozen cookies
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Ответ:
The total amount of dozen cookies =![3\dfrac{1}{2}](/tpl/images/0732/9646/8eb82.png)
Stephanie requires
to make ![\mathsf{3\dfrac{1}{2}\ dozen \ cookies}](/tpl/images/0732/9646/cad7d.png)
Let assume that:
(x) represents the amount of the tablespoons Stephaine needs to prepare 1 dozen cookies:Then; we can equate both equations together as follows:
x tablespoon = 1 dozen cookies
By cross multiply and making (x) the subject of the formula, we have:
Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is:![\mathbf{ = \dfrac{4}{21} \ tablespoons}}](/tpl/images/0732/9646/f2fe5.png)
Learn more about solving fractions here:
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Ответ:
4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
Ответ:
Add 225/4 to x^2 + 15x.
Step-by-step explanation:
Take the coefficient of the middle term, 15.
Now divide it by 2, 15/2.
Square that, 225/4.
Add 225/4 to x^2 + 15x.