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liubo4ka [24]
2 years ago
10

Roberto shares a bag of almonds with 2 friends. He shares 1/8 bag with Jeremy and 2/8 bag with Emily. He eats 3/8 bag of the alm

onds himself. What fraction of the almonds do Roberto and his friends eat?
Mathematics
1 answer:
barxatty [35]2 years ago
3 0

Answer:The fraction of the almonds that Roberto and his friends ate is 3/4

Step-by-step explanation:

Let x represent the total number of almonds in the bag initially. He shares 1/8 bag with Jeremy. This means that the amount of almonds that he gave to Jeremy is 1/8 × x = x/8

He shares 2/8 bag with Emily. This means that the amount of almonds that he gave to Emily is 2/8 × x = 2x/8

He eats 3/8 bag of the almonds himself. This means that the amount of almonds that he ate is 3/8 × x = 3x/8

Total number of almonds that Robert and his friends ate would be

x/8 + 2x/8 + 3x/8 = 6x/8 = 3x/4

The fraction of the almonds that Roberto and his friends ate would be

(3x/4)/x = 3/4

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Kruka [31]

Problem 1

Answers: Choice A, choice D

The formula you use is

a & c/d = (a*d+c)/d

To convert from mixed number form to improper fraction form.

So,

6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3

And also,

8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5

===============================================

Problem 2

Answer: Reflection

Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.

5 0
2 years ago
What the answer now
stiks02 [169]

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

\frac{v}{sin(V)} = \frac{w}{sin(W)}

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

\frac{v}{sin(21)} = \frac{19}{sin(137)}

Multiply both sides by sin(21)

\frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21)

v = \frac{19*sin(21)}{sin(137)}

v = 10 yd (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

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7 0
3 years ago
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Naily [24]

Answer:

\huge\boxed{Diameter=11cm}

Step-by-step explanation:

Important information:

Circumference of a circle= \pi*diameter

Method:

To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.

Step By Step:

1) Rearange the formula to make the diameter the subject.

diameter=\frac{circumference}{\pi}

2) Divide 34.54 by 3.14(\pi).

34.54/3.14=11cm

5 0
2 years ago
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kobusy [5.1K]

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Step-by-step explanation: It is simple math-

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3 years ago
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kompoz [17]

Answer:

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Step-by-step explanation:

From the Euclidean theorem y^2 = 16 × 41 ➡ y^2 = 656 and y = 4√41

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