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3 years ago

14

A recipe for a pan of brownies requires 1 ½ cups of milk, 2/3 cups of sugar, and 1 1/5 cups of oil. How many cups of ingredients

will there be in the mixing Bowl

1 answer:

slega [8]3 years ago

7 0

Answer:

Step-by-step explanation:

A recipe for a pan of brownies requires 1 ½ cups of milk. Converting the 1 1/2 to improper fraction, it becomes 3/2 cups of milk

The recipe also requires 2/3 cups of sugar

It also requires 1 1/5 cups of oil. Converting to improper fraction, it becomes 6/5 cups of sugar

Total number of cups of ingredients in the mixing Bowl will be sum of the amount if milk, sugar and oil. It becomes

3/2 + 2/3 + 6/5 = (45 + 20 + 36)/30

= 101/30 cups of ingredients

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The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

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Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

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i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

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$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

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-12c = -96

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c = 8

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$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

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Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

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2 years ago

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cluponka [151]

Their earnings would be the same after 4 hours

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Earnings = $9 per hour
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So, the equation for Kimi's weekly earning is:

$y =9x + 8$

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<u>Jordan</u>

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So, the equation for Jordan's weekly earning is:

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