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3 years ago

Simplify 4(6 - 2x) - 3(3 - 4x)

Mathematics

2 answers:

Vadim26 [7]3 years ago

6 0

Answer:

4x + 15

Step-by-step explanation:

4(6-2x) -3(3-4x)

open each brackets with the number in front of em

24 -8x-9+12x

collect like terms

-8x+12x-9+24

4x+15

LiRa [457]3 years ago

5 0

Answer:

-20x+15 is your answer

Step-by-step explanation:

Solve by distributing and combing like terms

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Answer this question correctly

Nana76 [90]

Answer:

x = 3 - 3/2y

y = 2 - 2/3x

Step-by-step explanation:

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3/2y

2x + 3y = 6

3y = 6 - 2x

y = 2 - 2/3x

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3 years ago

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A small bottle of lemonade is half the size of a large bottle. The small bottle costs 80p and the large bottle costs £1.50. Amir

Leni [432]

80p = 80 cents

£1.50 = $1.50.

(changing the signs, that's it)

So if a small bottle is half the size of a large bottle, and is 80 cents.

Amir buys 4 bottles, so 0.80 * 4 = 320 = $3.20.

Now 4 small bottles is the same as 2 large ones, so if he bought 2 large bottles: $1.50 * 2 = $3.00.

$3.20 - $3.00 = 0.20 cents.

Amir would've saved 0.20

P.S. What is "p" in European money

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3 years ago

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How to write an equivalent expression for n times a using only addition

Alina [70]

How to write an equivalent expression for n time a using o

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3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

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3 years ago

A small half bath measures 42 inches by 48 inches.What is the square footage of the half bath?

Mkey [24]

A=LW, we are told that the dimensions are 42 and 48 so:

A=42*48

A=2016in^2

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3 years ago

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