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Tju [1.3M]
3 years ago
11

What are expressions like 4(3+2) and 4(3)+4(2) called

Mathematics
1 answer:
raketka [301]3 years ago
8 0
<span>We are asked to find a term that describes the expressions 4(3+2) and 4(3)+4(2). The said expression conforms to one of an algebra property called distributive property. Distributive Property simply distribute the first term to the two or more terms inside a parenthesis. This property helps in simplifying an expression.</span>
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The volume of a sphere can be calculated by V = 4/3 * pi If the volume is 113.04 cm ^ 3 what is the radius?
lisov135 [29]

Answer:

2.99 cm

Step-by-step explanation:

V= \frac{4}{3}(pi)(r^3)=113.04cm^3

113.04/ \frac{4}{3}(pi) = r^3 = 26.99

r=\sqrt[3]{26.99} = 2.99cm

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The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers
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300 right handers

Step-by-step explanation:

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Find the quotient write your answer in the simplest form !
Mrrafil [7]

Answer:

The answer is B)  \frac{2x-3}{2x+1}

Step-by-step explanation:

Step 1: First we have to factorize the each rational expressions.

\frac{4x^2 - 9}{6x^2 + 13x + 6} ÷\frac{4x^2 - 1}{6x^2 + x -2}

= \frac{(2x - 3)(2x + 3)}{(3x + 2)(2x + 3)}÷\frac{(2x+1)(2x -1)}{(2x -1)(3x +2)}

Now we can cancel out (2x + 3) and (2x -1) since they are common factor both in the numerator and the denominator, so we get

= \frac{2x - 3}{3x + 2} ÷\frac{2x + 1}{3x + 2}

Step 2: If we have fraction over fraction, we can flip the second fraction and multiply.

= \frac{2x - 3}{3x + 2} x \frac{3x + 2}{2x + 1}

Now we can cancel out (3x + 2), so we get

= \frac{2x-3}{2x+1}

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Thank you.

6 0
3 years ago
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bob wants to build a doghouse that is 2 feet longer than it is wide. he's building it on a concrete slab that will leave 2 feet
VikaD [51]

Answer:

10 ft by 12 ft

Step-by-step explanation:

This problem requires you to first write an equation to represent the situation. Here we will represent the shorter side of the doghouse with the variable x, the longer side will be represented with x+2 because it is 2 feet longer.

48 = x * (x+2)

This represents the area of the doghouse as the product of the width and length of the doghouse.

48 = x^2 + 2x

Now, we need to move all the items onto one side of the equals sign, it is best to have the x^2 be positive.

0 = x^2 + 2x - 48

Now, we factor to find what x equals.

0 = (x-6) * (x+8)

From here, we can use each of the terms in parentheses to solve for x.

0 = x-6

x = 6

0 = x+8

0 = -8

Here we know that the shorter side has to be 6 ft because length is a positive number, and we can determine that the longer side is 8 ft because it is 2 ft longer. The dimensions of the slab are therefore 10 ft by 12 ft because the slab is 2 ft on each side, therefore adding an extra 4ft to the dimensions because the 2ft is added on each side.

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