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antiseptic1488 [7]
3 years ago
5

In how many ways can 4 people sit next to each other in a movie theater row? [?] question 4 options:

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
Any of the 4 people can take the first seat
since it gets occupied by one person , the next seat can be occupied by any of the remaining 3
similarly, the next one has 2 possibilities and the last seat can only be occupied by the man who is left

so by the principal of multiplication, no. of ways equals 4! = 4×3×2×1 = 24 ways
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The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field
guajiro [1.7K]

Answer: 525

Step-by-step explanation:

450+15+60=525

8 0
2 years ago
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Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
A plank of wood is 220 cm long.I cut it in 14cm pieces. what lenght of wood i will have left over?
Nana76 [90]

The required Length is 10cm.

What is length?

  • Length is a measure of distance. In the International System of Amounts, length is a volume with dimension distance. In utmost systems of dimension a base unit for length is chosen, from which all other units are deduced.
  • Length is generally understood to mean the most extended dimension of a fixed object. still, this isn't always the case and may depend on the position the object is in.
  • Varied terms for the length of a fixed object are used, and these include height, which is the perpendicular length or perpendicular extent, and range, breadth, or depth. Height is used when there's a base from which perpendicular measures can be taken. range or breadth generally relates to a shorter dimension when the length is the longest one.

220 / 14 gives us 15.

You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.

thus 14 * 15 = 210

So 220- 210 = 10

where you know 220- 210 is< 15

Hence, The correct Length is 10cm.

Learn more about Length here:

brainly.com/question/2217700

#SPJ9

7 0
1 year ago
(1+13)2−29=? <br> ive never been good with fractions and dont understand this
GaryK [48]

Answer:

-1

Step-by-step explanation:

1+13=14

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28-29=-1

8 0
2 years ago
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Find the volume of the solid. Round your answer to the nearest tenth.​
Sindrei [870]
Correct ~~~~~~~~~~~~~~~~~~~~~~
4 0
2 years ago
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