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3 years ago

The average a of two numbers c and d is equal to half the sum of c and d

Mathematics

1 answer:

igomit [66]3 years ago

4 0

Answer:

$\frac{c + d}{2}= \frac{c + d}{2}$

Step-by-step explanation:

Required

Write the given statement as an equation

To start with, we solve for the average of c and d

$Average = \frac{\sum x}{n}$

$Average = \frac{c + d}{2}$

Next, is to determine half sum

$Half\ sum = \frac{c + d}{2}$

Since both are equal; we have"

$\frac{c + d}{2}= \frac{c + d}{2}$

The above shows that the statement is true

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How would I solve for x

Fed [463]

Answer:

x=10

Step-by-step explanation:

The 3 angles of a triangle add to 180

4x+60+80 = 180

Combine like terms

4x+140 =180

Subtract 140 from each side

4x+140-140=180-140

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

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4 years ago

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What is the volume of this rectangular prism? 3 cm DI cm 1 cm 2 Y

TiliK225 [7]

Answer:

3/4 cm^3

Step-by-step explanation:

Volume = base area * height. Where base area is 1/2*1/2 (As it is a square) and height = 3 cm, so times together get 3/4.

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3 years ago

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Find the value of the expression (4x – 12) + (xy – 5) when x=6 and y = 2

Licemer1 [7]

Answer:

Step-by-step explanation:

Let us solve the parenthesis first according to PEDMAS (Parenthesis, Exponent, which ever comes first from left to right Multiplication and Division, which every comes first from left to right Addition and Subtraction.)

x=6, y=2

4x-12

Substitute using the given values

4*6 - 12 = 24 - 12 = 12

xy - 5

Substitute using the given values

6*2 - 5 = 12 - 5 = 7

Add up the two answers because we need to find the value of (4x - 12) + (xy - 5)

12 + 7 = 19

The answer is 19

Hope this helps :)

Have a nice day!

3 0

3 years ago

Its math and its really hard

Juliette [100K]

Answer:

Yes math is hard.

Step-by-step explanation:

Math includes a bunch of equations and mumbo-jumbo.

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3 years ago

Determine whether this pair of lines is parellel, perpendicular, or neither 6+2x=3y 3x+2y=9 Choose the correct answer below. A.

andriy [413]

Answer:

Option A. These two lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Convert the given equation A in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$6+2x=3y$ ----> equation A

Solve for y

That means----> isolate the variable y

Divide by 3 both sides

$y=\frac{2}{3}x+2$

$m_A=\frac{2}{3}$

step 2

Convert the given equation B in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$3x+2y=9$ ----> equation B

Solve for y

That means----> isolate the variable y

subtract 3x both sides

$2y=-3x+9$

Divide by 2 both sides

$y=-\frac{3}{2}x+4.6$

$m_B=-\frac{3}{2}$

step 3

Compare the slopes

$m_A=\frac{2}{3}$

$m_B=-\frac{3}{2}$

The slopes are opposite reciprocal (the product is equal to -1)

therefore

These two lines are perpendicular

3 0

4 years ago