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statuscvo [17]
3 years ago
12

Show how to simplify this problem using the distributive property. 4(12 + 6)

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
5 0

Hey there!

4(12 + 6)

4(12) + 4(6)

4(12) = 48

4(6) = 24

48 + 24 = ?

48 + 24 = 72

Answer: 72 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Viefleur [7K]3 years ago
4 0
Answer is 72.

(4*12)(4*6)

48+24=72
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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
4 0
3 years ago
If y=tanx-cotx, then dy/dx =
Vsevolod [243]

Answer:

dy/dx=sec^2^(x)-(-csc^2(x)

=sec^2(x)+ csc^2(x)

so solution is E

3 0
3 years ago
Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil
Vanyuwa [196]

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

7 0
3 years ago
What is the theoretical Probability of spinning a 3?
puteri [66]

Answer:

35%

Step-by-step explanation:

5 0
3 years ago
One bag of rice that weighs 5.25 pounds will have enough rice if a recipe calls for 88 ounces of rice. (1 pound = 16 ounces)
krek1111 [17]
False, there isn't enough rice in 5.25 pounds.
4 0
3 years ago
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