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3 years ago

Match the data to the summary 5,10,15,20,25,25,25,30,35,40,45,50

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

Minimum = 5
maximum = 50
Q1 = (15 + 20)/2 = 17.5
Q2 (median) is 25
Q3 = (35 + 40)/2 = 37.5

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Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A

PtichkaEL [24]

Answer:

$a) 5n\\b) 10n\\c) 3n$

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here.

A number 'q' that can be divided by a a given number 'p' can be written as:

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When divided by 'p' :

$\dfrac{q}{p} = \dfrac{n \times p}{p}\\\Rightarrow \dfrac{q}{p} = n$

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

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b) Using 'n' as the variable, a number that is divisible by 10 can be written as:

$10n$

c) Using 'n' as the variable, a number that is divisible by 3 can be written as:

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3 years ago

Circle A has a radius of 4 units

Tresset [83]

Step-by-step explanation:

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3 years ago

Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7

GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a \times b + a \times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is $-28xy + 35y$

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

$-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)$

Thus,

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

Learn more about equivalent expressions here:
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2 years ago

What is the answer of 13/4*5/8?

sdas [7]

In decimal form that is 2.03125, in fraction that would be 65/32

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3 years ago

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15f) Determine the line of symmetry. y = x2+16x+64

Slav-nsk [51]

Answer:

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Step-by-step explanation:

the equation is in standard form of y=ax^2+bx+c

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