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Mekhanik [1.2K]
3 years ago
14

Which expression is equal to (32)(8)(5x) using the associative property?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
Seeing as there are no answer choices, here are all the answers I would think to make. Quick note, associative property of multiplication states that you can change the parenthesis/order of your multiplication in any order and it will stay true, example: (5)(8)(3)=40*3 and 24*5.
Answers: (32)(40)(x), (32)(40x), (32)(8)(5)(x), (32)(8x)(5), (160)(8x), (160x)(8), (160)(8)(x), (32x)(8)(5), (256x)(5), (256)(5x), (256)(5)(x), (1280)(x), (1280x)
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What is the sum of the 9th square number and the 3rd cube number?
Lesechka [4]
The sum of the 9th square number and 3rd cube number is 108
7 0
3 years ago
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In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

For ΔWXY,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}

Now,

\dfrac{w}{\sin W}=\dfrac{x}{\sin X}

\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}

900\sin X=680\sin (157^\circ)

\sin X=\dfrac{680}{900}\sin (157^\circ)

\sin X=0.295219

X=\sin^{-1}(0.295219)

X=17.17067

X\approx 17

Therefore, the value of ∠X is 17 degrees.

5 0
3 years ago
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
3 years ago
If the straight line passing through A(-7, -5) and B(-3, x) is parallel to another straight line of slope 2, find the value of x
Ostrovityanka [42]
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Which point on the graph below is included in the solution to the following system of equations?
monitta

Answer:

D(-7,-2)

Step-by-step explanation:

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A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

    5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

5 0
2 years ago
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