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Aleksandr [31]
3 years ago
12

Estimate the quotient using compatible numbers. 428 ÷ 6

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer: The quotient is 71.

Explanation:

We have to find the quotient when 428 is divided by 6.

We can write 428 as the sum of 420 and 8 because 420 is compatible number because 42 can easily divided by 6.

\frac{428}{6} =\frac{420+8}{6}

\frac{428}{6} =\frac{420}{6}+\frac{8}{6}

\frac{428}{6} =70+\frac{8}{6}

Now 8 can be written as the sum of 6 and 2.

\frac{428}{6} =70+\frac{6+2}{6}

\frac{428}{6} =70+\frac{6}{6}+\frac{2}{6}

\frac{428}{6} =70+1+\frac{1}{3}

\frac{428}{6} =71+\frac{1}{3}

Therefore, the quotient is 71 and the remainder is \frac{1}{3}.

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Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=a^3

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The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8

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2 years ago
3 cards are chosen at random from a standard 52-card deck. what is the probability that they form a pair? (a 3-card hand is a 'p
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Hello!

First of all, we have a 4/52, or 1/13 chance of selecting a pair. Then, we select 1/3 cards 3 times, so we use this as our other fraction.

\frac{1}{13}\cdot \frac{1}{3}=\frac{1}{39}

Therefore, we have a 1/39 or about 3%.

I hope this helps!

8 0
3 years ago
Answer and explanation please
Gnom [1K]
For the triangle, the shaded part, both the height and base are 12, so the area of it is:

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PLS HELP ME ASAP! The height and width of a rectangular prism are 26 yards and 24 yards respectively. Find the length of the
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Answer:

The length is 30 cubic yards.

Step-by-step explanation:

To find volume you use equation V=LxWxH

Since we already know the height, width, and volume we can input them into the equation.

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As you can see, the length is still unknown.

To figure it out though, you can multiply the height and width of the prism,

24 x 26 = 624

And then divide the volume, 18,720 by it.

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3 years ago
Simplify the expression. Rewrite using only positive exponents.
Dvinal [7]

The simplified form of the given expression is x^{18}a^{3}b^{3}.

The given expression is (\frac{x^{4}a^{2}b^{3} }{x^{-2}ab^{2}} )^{3}.

We need to simplify the given expression.

<h3>What are the basic laws of exponents?</h3>

The basic laws of exponents are as follows:

a^{m} \times b^{m} =(ab)^{m}

a^{m} \div b^{m} =(\frac{a}{b} )^{m}

a^{m} \times a^{n} =(a)^{m+n}

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=x^{18}a^{3}b^{3}

Therefore, the simplified form of the given expression is x^{18}a^{3}b^{3}.

To learn more about the exponents visit:

brainly.com/question/26296886.

#SPJ1

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