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nataly862011 [7]
3 years ago
14

While remodeling their living room, the Smart family decided to repaint the walls. They

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

The Smart family could paint 110 square feet per hour.

Step-by-step explanation:

Given that while remodeling their living room, the Smart family decided to repaint the walls, and they estimated that they could repaint 55 square feet every half-hour, to determine how many square feet can they paint per hour the following calculation must be performed:

1/2 = 0.5

0.5 = 55

1 = X

55 / 0.5 = X

110 = X

Therefore, the Smart family could paint 110 square feet per hour.

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Please help. I got the 12 part can’t can’t seem to simplify the fraction bit.
Sati [7]
<h3>Answer: D)  12 & 3/8</h3>

Whole part = 12

Fractional part = 3/8

==============================================

Explanation:

For now, let's just focus on the fractional parts of each mixed number.

We have these fractions:

  • 1/4
  • 4/16
  • 3/8
  • 1/2

The 4/16 reduces to 1/4, so 4/16 = 1/4

So in reality, we have these fractional parts.

  • 1/4
  • 1/4
  • 3/8
  • 1/2

It's not a typo that I'm listing "1/4" twice.

The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)

  • 1/4 = 2/8
  • 1/4 = 2/8
  • 3/8 = 3/8
  • 1/2 = 4/8

Adding those new fractions gets us:

(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8

Rewrite that as a mixed number

11/8 = (8+3)/8

11/8 = (8/8) + (3/8)

11/8 = 1 + 3/8

11/8 = 1 & 3/8

We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.

Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.

If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.

The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.

-----------------

An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.

5 0
3 years ago
Use the Product Property for Exponents to explain why x · x = x2.
Lubov Fominskaja [6]

Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

3 0
3 years ago
PLz solve this i need this quick.
eimsori [14]
Im not sure but I think its C
5 0
3 years ago
Help me plz this is hard
cricket20 [7]

you first use distributive property for the multiplication

[(2*4x)-(2*11)]+9=19

8x-22+9=19

Then, you need to leave the variable alone moving all the other numbers with the opposite operation (addition to substraction, substraction to addition, multiplication to division, division to multiplication)

8x=19+22-9

8x=(19+22)-9

8x=41-9

8x=32

Then as 8 and x are multiplying you pass it dividing

x=32/8

x=4

3 0
3 years ago
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b<br> Find the value of a and the value of b
lutik1710 [3]

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

3 0
3 years ago
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