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malfutka [58]
3 years ago
11

For a fruit salad recipe, Jenna combined 3/8 cup of raisins, 7/8 cup of oranges and 3/4 cups of apples. How many cups of fruit a

re in the salad
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0
If you would like to know how many cups of fruits are in the salad, you can calculate this using the following steps:

3/8 cup of raisins + 7/8 cup of oranges + 3/4 cup of apples = 3/8 + 7/8 + 3/4 = 10/8 + 3/4 = 5/4 + 3/4 = 8/4 = 2 cups of fruits

The correct result would be 2 cups of fruits.
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Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose <em>w</em> to represent the width because the length is described by referring to the width:  it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse  =  13.

The Pythagorean Theorem says (\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2 so

w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\

Now solve using the Quadratic Formula with a=5,\,b=9,\,c=-80.

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

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3 years ago
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