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Alexandra [31]
3 years ago
14

Kylee is making a cake. The box says for every 1/4 cup of water she needs to use 2/4 of the cake mixture. She uses 3 1/4 cups of

water. How much cake mixture does she use? (show your answer as a decimal and as a fraction.)​
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

Kylee makes 6 1/2, or 6.5 cups of the cake mixture.

Step-by-step explanation:

She uses double the cake mixture as water. She uses 3 1/4 cups of water, or 13/4 as an improper fraction, so she uses double that of cake mixture, which is 6 1/2, or 26/4 cups of cake mixture.

As a decimal that is 6.5.

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Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept.

\boxed{slope =  \frac{ y_{1} - y_2}{x_1 - x_{2}} }

Slope

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Read 2 more answers
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
Veseljchak [2.6K]

Answer:

1)\\\large\boxed{x=\dfrac{a+c}{b},\ if\ b\neq0}\\\\2)\\\boxed{if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number}\\\\\boxed{if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)}

Step-by-step explanation:

1)\\a-(a+b)x=(b-a)x-(c+bx)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\a-ax-bx=bx-ax-c-bx\qquad\text{cancel}\ bx\ \text{on the right side}\\\\a-ax-bx=-ax-c\qquad\text{add}\ ax\ \text{to both sides}\\\\a-bx=-c\qquad\text{subtract}\ a\ \text{from both sides}\\\\-bx=-a-c\qquad\text{divide both sides by}\ -b\neq0\\\\x=\dfrac{-a-c}{-b}\\\\x=\dfrac{a+c}{b}

2)\\2(3x-5a)+9(2a-7b)+3(5a-2x)=0\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(3x)+(2)(-5a)+(9)(2a)+(9)(-7b)+(3)(5a)+(3)(-2x)=0\\\\6x-10a+18a-63b+15a-6x=0\qquad\text{combine like terms}\\\\(6x-6x)+(-10a+18a+15a)-63b=0\\\\23a-63b=0\qquad\text{add}\ 63b\ \text{to both sides}\\\\23a=63b\qquad\text{divide both sides by 23}\\\\a=\dfrac{63b}{23}\\\\if\ a=\dfrac{63b}{23}\ then\ x\ is\ any\ real \ number\\\\if\ a\neq\dfrac{63b}{23}\ then\ x\ not\ exist\ (no\ solution)

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4 years ago
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