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zloy xaker [14]
3 years ago
15

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

3 0
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:

A.

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.

C.

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.

4 0
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:

No

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.

6 0
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

or, 2 x 5k = 30   ⇒  10k = 30

⇒ k = 30/10 = 3

So, the width of the deck = k  = 3 ft

Length of the deck = 4k = 3 x 4  = 12 ft

Now, AREA OF A RECTANGLE =  LENGTH X WIDTH

So, the area of the rectangular deck = 3 ft x 12 ft

                                                             = 36 sq feet

Hence, the area of the rectangular deck is 36 sq feet.

8 0
2 years ago
A right triangle has legs measuring 16 inches and 20 inches what is the length of the hypotenuse
leonid [27]

Answer:

The length of the hypotenuse is 4\sqrt{41}\ in

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

where

c is the hypotenuse

a,b are the legs of the right triangle

substitute the values

c^{2}=16^{2}+20^{2}

c^{2}=256+400

c^{2}=656

c=\sqrt{656}\ in

Simplify

c=4\sqrt{41}\ in

8 0
3 years ago
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