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Andru [333]
1 year ago
14

Eileen makes her own granola using 1 3/4 cups of oats and 2/3 cup of puffed rice. How many cups of granola does she have?

Mathematics
1 answer:
barxatty [35]1 year ago
4 0

Answer:

2 5/12 cups

Step-by-step explanation:

<u>First, turn 1 3/4  into improper fraction:</u>

1 3/4 = 7/4

<u>Next, Find LCG (least common multiple) of 3 and 4</u>

Multiples of 4: 4, 8, 12, 16, 20, 24

Multiples of 3: 3, 6, 9 , 12, 15, 18

<u>Multiply 7/4 by 3 and 2/3 by 4</u>

7/4 x 3 = 21/12

2/3 x 3 = 8/12

<u>Add both fractions</u>

21/12 + 8/12 = 29/12

<u>Reduce 29/12</u>

29/12 = 2 5/12

So Eileen has 2 5/12 cups of granola

Hope this helps ;)

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Answer:

(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

Step-by-step explanation:

The given options are:

(A)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(\dfrac14\right)\\(B)\left(\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)\\(C)\left(\dfrac38\right)\left(\dfrac57\right)\left(\dfrac14\right)\\(D)\left(-\dfrac38\right)\left(-\dfrac57\right)\left(-\dfrac14\right)

The key to determining which product is negative is to understand the rule of sign multiplication.

Now:

  • The product of even negative terms is positive
  • The product of odd negative terms is negative.
  • The product of positive will always be positive.

In Options A and B, the number of negative signs is even, therefore our result is positive.

In option C, all the terms are positive, therefore our result will be positive.

In Option D, the number of negative signs is odd, therefore our result is negative.

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1 year ago
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Conor has a roll of fence that is 25 feet long. He needs 8 yards of fence to go around a flower bed. Does he have enough fence t
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Answer:

Yes he has enough fence to go round the flower bed.

Step-by-step explanation:

1 yard = 3 feet

25 feet = 25/3 = 8.33 yards

Yes he has enough fence to go round the flower bed.

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Students at a high school were polled to determine the type of music they preferred. There were 1940 students who
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students preferred alternative music

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8. Peter and his partner are conducting a physics experiment on pendulum motion. Their 30-cm
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Answer: 90/pi degrees

Step-by-step explanation:

It forms a 15cm arc from a circle of radius 30 cm.

The diameter is 30*2*pi = 60pi cm. So the arc is 15/60pi = 1/4pi of the way around a 360 degree circle. This is 1/4pi * 360 = 90/pi degrees.

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If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3
Ghella [55]

Answer:

Joint variation says that:

if x \propto y and x \propto z

then the equation is in the form of:

x = kyz, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

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Divide both sides by 36 we have;

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Simplify:

k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

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144 = 12z

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

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