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3 years ago

Simplify each expression 7 (3x)= 8y+4x+6y= 4 (7x+5y=

Mathematics

1 answer:

UNO [17]3 years ago

4 0

7 (3x)= 27x

8y+4x+6y= 14y + 4x

<span>4 (7x+5y) = 28x + 20y</span>

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Complete the sentence.<br> In the formula C=2r. C stands for

AleksAgata [21]

Answer:

Circumference

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2 years ago

Read 2 more answers

can anyone help me with this ??

Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

$P(n, r) = P(8, 3)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 8 and $r =3$ , we get:

$P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336$

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

$P(n, r) = P(7, 2)$

Formula for Permutation is given as:

$P(n, r) = \dfrac{n!}{(n-r)!}$

Putting the value of $n$ = 7 and $r$ = 2 , we get:

$P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42$

D. Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

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3 years ago

Can three segments with length 4 cm, 6cm, and 11 cm be assembled to form an acute triangle, a right triangle, or an obtuse trian

adoni [48]

Answer:

Step-by-step explanation:

According to the Inequality Theorem, the sum of 2 side of a triangle must always be longer than the third one. 4 + 6 = 10 which is not larger than 11.

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3 years ago

The length of a rectangular deck is 4 times its width if the decks perimeter is 30 ft, what is the decks area

omeli [17]

Answer:

The area of the rectangular deck is 36 sq feet.

Step-by-step explanation:

Let the width of the deck = k ft

So, the length of the deck = (4k) ft

Now, perimeter = 30 ft

PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)

⇒2( k + 4k) = 30