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3 years ago

What is 2 3 (−7) + 2 3 (−5)

Mathematics

1 answer:

DochEvi [55]3 years ago

7 0

Answer:

Step-by-step explanation:

Multiply 2/3 and your number. If you have a whole number, convert it to a fraction by putting it over a denominator of 1. When multiplying fractions, calculate numerator times numerator, then denominator times denominator. For example, to find two-thirds of 18, multiply 2/3 x 18/1 to get 36/3.

Reduce the resulting fraction as needed by dividing it by the common denominator. For example, the common denominator of 36 and 3 is 3. Diving 36 and 3 by 3 gives you a fraction of 12/1, which is the same as 12. Thus, two-thirds of 18 is 12.

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Which expression is equivalent to...? Screenshots attached. Please help! Thank you.

Studentka2010 [4]

Answer:

$4x^{3} y^{2} (\sqrt[3]{4 x y})$

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

$\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }$

Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

$\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }$

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

$4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }$

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

$4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}$

The answer is then:

$4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})$

4 0

2 years ago

When the scale factor between two circles is “x” the scale factor between the 1_________________________is also “x” and the scal

Effectus [21]

Answer:

When the scale factor between two circles is “x” the scale factor between the radius is also “x” and the scale factor of the area is “x^2"

this is only one possible answer. For example, instead of radius, you could have put diameter or circumference.

7 0

2 years ago

A recipe for fluffy slime calls for 3 3/4 cups of shaving cream, 1/2 cup of glue, 1/2 teaspoon of baking soda and 1 1/2 tablespo

DIA [1.3K]

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

Ignore all the wording about glue, baking soda and saline.

What this question reduces to is that the recipe for :

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

3 0

2 years ago

What is 11 feet and 8 inches plus 2 feet and 9 inches

Agata [3.3K]

Answer:

14 feet and 5 inches

Step-by-step explanation:

11 feet + 2 feet= 13 feet

9 inches + 8 inches = 17 inches

17 inches = 1 foot and 5 inches

13 + 1 = 14 feet

5 inches + 0 inches = 5 inches

7 0

2 years ago

In great detail, with full work done out, please find x<br> 1 + x = 2

kenny6666 [7]

Answer:

x = 1

Step-by-step explanation:

1 + x = 2

Subtract 1 form both sides,

1 + x - 1 = 2 - 1

x = 1

4 0

2 years ago