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Alex
3 years ago
11

Use the commutative and associative properties of multiplication to write an expression equivalent to (4⋅5)⋅3.

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0
Commutaive property says
ab=ba or expanded to say
abc=cba

associative peropty =
a(bc)=(ab)c

so using that
first mix them up knowing that we can move the parenthaseese
all possible equivelnt ones are
4*(5*3)
(3*5)*4
3*(5*4)
(3*4)*5
3*(4*5)
 
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Can someone please help find the answer and explain how you got it please.
tresset_1 [31]

Answer:

5

Step-by-step explanation:

Hello!

We put in 2 for x and 6 for y

\frac{2(6)-2}{2}

Now we can solve this

\frac{12 - 2}{2}

\frac{10}{2} = 5

The answer is 5

Hope this helps!

4 0
3 years ago
Read 2 more answers
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
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yaroslaw [1]

Answer:

66 cm

Step-by-step explanation:

Diameter (d) = 21 cm

C = \pi  \: d =  \frac{22}{7}  \times 21 = 22 \times 3 = 66 \: cm

3 0
3 years ago
Read 2 more answers
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Answer:

- 2 < x < 2

Step-by-step explanation:

Given

- 3 < 2x + 1 < 5 ( subtract 1 from each interval )

- 4 < 2x < 4 ( divide each interval by 2 )

- 2 < x < 2

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