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3 years ago

The equation 2(5 + 7) = (2•5) + (2•7) illustrates what

Mathematics

2 answers:

pshichka [43]3 years ago

8 0

Answer:

It's C) distributive property

Step-by-step explanation:

You are distributing 2 to 5 and 7

Natasha_Volkova [10]3 years ago

7 0

The answer is C). ::))))

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Order these decimals form greatest to least 3.6; 0.36; 36; 0.036

aliina [53]

36, 3.6, 0.36, 0.036 is the order

4 0

3 years ago

Read 2 more answers

Evaluate the function : h(x) = 4x-5 for h(a+2)

inn [45]

Answer:

h(a + 2) = 4a + 3

Step-by-step explanation:

∵ h(x) = 4x - 5

∴ h(a + 2) = 4(a + 2) - 5

∴ h(a + 2) = 4a + 8 - 5 = 4a + 3

6 0

3 years ago

The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression ba

Sliva [168]

Step-by-step explanation:

The square root of a product of two positive real numbers is the product of their square roots.

Let 4 and 5 be the two positive real number. The square root of a product of 4 and 5 is the product of their square roots.

$\sqrt{4\cdot 5}$

$=\sqrt{20}$

$=\sqrt{2^2\cdot \:5}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$=\sqrt{5}\sqrt{2^2}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{2^2}=2$

Therefore,

$\sqrt{4\cdot \:5}=2\sqrt{5}$

NOW SOLVING BY APPLYING RADICAL RULE such that

$\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$\sqrt{4\cdot 5}=\sqrt{4}\sqrt{5}$

$\sqrt{2^2}=2$

$=2\sqrt{5}$

Hence, The square root of a product of two positive real numbers is the product of their square roots.

5 0

3 years ago

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.

aliina [53]

Answer:

A. 14040 cubic inches

B. 61 gallons

Step-by-step explanation:

The volume of a cuboid is given by the formula ...

V = LWH

One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.

One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.

The volume of the fish tank is ...

V = (39 in)(18 in)(20 in) = 14,040 in³

The volume is 14,040 cubic inches.

One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.

976 cups equals 61 gallons.

_____

<em>Additional comment</em>

One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.

8 0

2 years ago

What percent of 8 is 6

vodomira [7]

if we take 6 to be the 100%, what is 8 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 6&100\\ 8&x \end{array}\implies \cfrac{6}{8}=\cfrac{100}{x}\implies \cfrac{3}{4}=\cfrac{100}{x} \\\\\\ 3x=400\implies x=\cfrac{400}{3}\implies x=133.\overline{3}$

8 0

3 years ago