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inessss [21]
1 year ago
7

Discuss the order of operations to explain why the expressions [(12÷(2+ 2)] ^3 and (12 ÷ 2) + 2^3 do not havethe same value.

Mathematics
1 answer:
Volgvan1 year ago
5 0

The order of operations are different. Hence, the answers are not equal

Explanation:

Oder of operations using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)

[(12÷(2 + 2)]³ and (12 ÷ 2) + 2³

we solve seperately:

[(12÷(2+ 2)]³

we solve the parenthesis first:

(12 ÷ 4)³

then we apply division:

= (3)³

Then expand the exponent:

= 27

(12 ÷ 2) + 2³

we solve the parenthesis first:

6 + 2³

we expand the exponent:

6 + 8

we apply addition:

14

The order of operations are differnt. Hence, the answers are not equal

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This graph shows the solution to which inequality?
telo118 [61]

Answer:

y > \frac{1}{3}x - 2

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope, and b is the y-intercept(value of y when x = 0).

In this question:

We have that when x = 0, y = -2. So the line is given by:

y = mx - 2

Finding the slope:

We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So

Change in y: -1 - (-3) = -1 + 3 = 2

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: m = \frac{2}{6} = \frac{1}{3}

Solution to the inequality:

The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So

y > \frac{1}{3}x - 2

5 0
3 years ago
My question is -32+|10+2|
allochka39001 [22]
I hope this helps you


-32+|10+2|

-32+|12|

-32+10

-22
6 0
3 years ago
Read 2 more answers
Yesterday, Pablo had 4 4/9 quarts of iced tea, and Rosa had 3 5/12 quarts of iced tea.
Dima020 [189]

1. How much more iced tea did Pablo have than Rosa?

  • = 4 4/9 - 3 5/12
  • = 40/9 - 41/12
  • = 40/9 - 41/12
  • = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
  • = 160/36 - 123/36
  • = 37/36
  • = 37/36
  • = 1 1/36

Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

      Iced tea given

  • = 15% × 4 4/9
  • = 15/100 × 40/9
  • = 600/900
  • = 2/3

      Pablo iced tea

  • = 40/9 - 2/3
  • = 40/9 - (2 × 3)/(3×3)
  • = 40/9 - 6/9
  • = 34/9
  • = 3 7/9

      Rosa iced tea

  • = 41/12 + 2/3
  • = 41/12 + (2 × 4)/(3 × 4)
  • = 41/12 + 8/12
  • = 49/12
  • = 4 1/12

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

3 0
3 years ago
A certain city's Department of Transportation DOT repairs about 80,000 potholes per year. The DOT completes 90% of the repairs o
timurjin [86]

Answer:

Option A

Step-by-step explanation:

6 0
2 years ago
The scale on a drawing is 2 in.:5 yd. If a length on the drawing is 6 inches, what is the actual length?
Deffense [45]

scale - 2 inches : 5 yards

2 : 5

6 : x

answer:

x = 15

explanation:

we know that 6 is 3 times more than 2, so multiply 3 by 5.

<em>-- let me know if you have questions regarding this. </em>

4 0
3 years ago
Read 2 more answers
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