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2 years ago

Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2?

1 answer:

6 0

You can solve this by putting the number of copies in the top part of the fraction. If you replace the one in the top part of 1/6 with 3, you get the fraction 3/6. Half of six is three and half of two is one, so both fractions are equal. You can test this be dividing the 3 in the top by 3 and the 6 in the bottom by three. Your result will be 1/2. Although there are three times ad many copies, each copy is three times as small, so it balances out.

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9/4 divided by 3/8 what the answer?

kolbaska11 [484]

Answer:

Step-by-step explanation:

3 0

2 years ago

Using either the integral, limit comparison, comparison, or p-test, determine if the series converges or diverges. ∑n=3→∞ <img s

bija089 [108]

Answer:

See below. The series converges.

Step-by-step explanation:

5 0

3 years ago

Given the function h(x), determine the functions which correctly decompose h(x) into component functions f(x) and g(x) so that h

nataly862011 [7]

$\text{Hi there! :)}$

$\large\boxed{g(x) = 7x + 2\text{ , } f(x) = \sqrt{x} - 10}$

$\text{h(x) = f(g(x)), so determine what g(x) was substituted into f(x):}\\\\\text{Given the equation } h(x) = \sqrt{7x +2}- 10:\\\\\text{In the part of the equation with a variable, we see that "7x + 2" is in a square root:}$

$\text{Therefore, we can say that g(x) = 7x + 2:}\\\\\text{If h(x) = f(7x + 2), then f(x) must be:}\\\\f(x) = \sqrt{x} - 10$

$\text{The respective functions would be:}\\\\g(x) = 7x + 2\\\\f(x) = \sqrt{x} - 10$

7 0

2 years ago

What is the product?<br><br> −5⋅(−3)⋅(−8)<br> A.-120<br> B.-16<br> C.16<br> D.120

Paha777 [63]

The product of the given expression is -120. Option A is correct

<h3>Product of negative numbers.</h3>

Given the expression below as shown;

−5⋅(−3)⋅(−8)

Since the product of two negative number is equal to positive, then;

−5⋅(−3)⋅(−8) = -8(5*3)

Simplify the result to have:

-8 * 15

find the final product

-8 * 15 = -8(5+10)

-8 * 15 = -40 - 80

-8 * 15 = -120

Hence the product of the given expression is -120

Learn more on product of negative numbers here: brainly.com/question/17485302

#SPJ1

5 0

1 year ago

The distance between Eagle Lake and Swallow Lake on a map is 9 cm. The scale of the map is 4 cm = 2 km.

Sedbober [7]

Answer:

4½ km

Step-by-step explanation:

2 cm= 1 km

1 cm= ½ km

4cm×2km = 8cm

8 cm (4 km) + 1 cm (½ km) = 9 cm

9 cm/ 4 ½ km

4 0

2 years ago