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Tcecarenko [31]
2 years ago
5

In how many ways can four people with different heights line up single-file so that exactly two people are taller than the perso

n behind them?
Mathematics
1 answer:
yanalaym [24]2 years ago
6 0

The number of ways by which exactly 2 people are taller than the person behind them is; 6.

<h3>What number of ways can they line so that exactly two people are taller than the person behind them?</h3>

It follows from content that since 4 individuals with different heights are to line up, the 2 individuals who must be taller than the person behind them are represented as one entity and must be in the 1st and 2nd position or the 2nd and 3rd position.

Hence, the number of ways is; 6 upon counting the number of possible outcomes.

Read more on arrangement;

brainly.com/question/1427391

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6. The total cost of materials to build the foam
Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

4 0
3 years ago
Twelve more than half of a number is equal to the number
tester [92]
Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
5 0
2 years ago
What is the distance between points S and U if S is 2, 1 and U is 6, 8
balandron [24]

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

4 0
3 years ago
Read 2 more answers
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
3 years ago
How to make 7,502 only using hundreds , tens , and ones
s2008m [1.1K]
14 hundreds, 10 tens, and 2 ones.
4 0
3 years ago
Read 2 more answers
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