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Tanzania [10]
4 years ago
10

Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies

Carol can make with the yogurt? (1 5/8 is a mixed number - one and five-eighths)
Mathematics
1 answer:
mezya [45]4 years ago
3 0

Answer:

She can make up to 4 smoothies.

Step-by-step explanation:

In order to calculate the number of smoothies Carol can make we need to first convert the total amount of yogurt she has from a mixed number to a pure fraction, this is shown bellow:

total amount of yogurt = 1 5/8 = 1 + 5/8

total amount of yogurt = 8/8 + 5/8 = 13/8

Now we can use this number and divide it by the amount of yogurt each smoothie takes. So we have:

number of smoothies = (13/8)/(1/3)

number of smoothies = (13/8)*(3/1) = 39/8 = 4.875 smoothies

Since she won't make a fraction of a smoothie she can make up to 4 smoothies.

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antiseptic1488 [7]
\frac{42}{150} ÷ 2 = \frac{21}{75}

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\frac{42}{150}= \frac{7}{25}

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3 years ago
Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.
Evgen [1.6K]

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}

Step-by-step explanation:

Given the equation

x^2\:-3x\:-\:5\:=\:0

solving with the quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5

x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}

x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}

separating the solutions

x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}

solving

x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}

  =\frac{3+\sqrt{29}}{2\cdot \:1}

  =\frac{3+\sqrt{29}}{2}

also solving

\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}

  =\frac{3-\sqrt{29}}{2\cdot \:1}

  =\frac{3-\sqrt{29}}{2}

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}

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3 years ago
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tatuchka [14]
Slant height is about 8.544.
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Its 701 im in 8th grade. And i had to do this stuff
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Please answer this question now
Ivan

Answer:

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Step-by-step explanation:

The formula for the surface area of a cone is the following:

A=\pi r^2+\pi r l

Where, <em>r </em>is the radius and <em>l</em> is the slant height.

The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6

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