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harina [27]
1 year ago
4

An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:0

0 am. After the 29th shuttle trip departed, 424 people were in line. If 6 people per minute got in line after 9:00 am, what is the passenger capacity of the shuttle?
Mathematics
1 answer:
DaniilM [7]1 year ago
3 0

Answer:

18

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

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A side of a regular six - sided polygon is 8cm long. The perimeter of a similar polygon is 60cm. What is the length of a side of
Lerok [7]

Answer:

  10 cm

Step-by-step explanation:

The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:

  (60 cm)/6 = 10 cm . . . length of a side

4 0
2 years ago
A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average
Assoli18 [71]

Answer:

The average weight of new born otter was, 1\frac{31}{40}

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

"\frac{9}{10} kg less than average weight of a new born otter" means x-\frac{9}{10}

As per the given information, we have;

\frac{7}{8} = x -\frac{9}{10}

Add  \frac{9}{10} both sides, we have;

\frac{7}{8} + \frac{9}{10} = x

Take LCM of 8 and 10 is, 40

⇒\frac{35+36}{40}=x

Simplify:

x = \frac{71}{40} = 1\frac{31}{40}

Therefore, the average weight of new born otter was, 1\frac{31}{40}




6 0
2 years ago
Read 2 more answers
The ratio of the perimeter of square RSTU to the perimeter of square WXYZ is 1 to 3. The area of square RSTU is 36 square inches
Ainat [17]
√36 square inches = 6 inches (length of sq RSTU)
6 inches x 4=24 inches (per. of sq RSTU)
-----------------------------------
1u=24 inches
3u=24 inches x 3=72 inches (per. of sq WXYZ)
-----------------------------------
72 inches ÷ 4=18 inches (length of sq WXYZ)
18 inches x 18 inches = 324 square inches( area of sq WXYZ)

Ans: 324 square inches

5 0
2 years ago
Read 2 more answers
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters. Wh
ella [17]

Answer

Circumference(C) of a circle is given by:

C = 2\pi r

where r is the radius and value of \pi = 3.14

As per the given statement:

A building engineer analyzes a concrete column with a circular cross section.

The circumference of the column is 18 \pi meters.

then;

18 \pi= 2\pi r

Divide both sides by 2 \pi we have;

9 = r

or

r = 9 meters

We have to find the area of the cross section of the column

Area of a circle is given by:

A = \pi r^2

then;

A = \pi \cdot 9^2 = 81 \pi meter square.

therefore, the area A of the cross section of the column is 81 \pi meter square.

3 0
2 years ago
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Your friend is trying to grow her hair as long as her cousin’s hair. The table shows their hair lengths y (in inches) in differe
Effectus [21]
<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month      Friends Hair(in)      Cousins Hair(in)
    3                     4                              7
    8                    6.5                            9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

(1) - (2) ⇒ -2 = -5m
\Rightarrow m= \frac{2}{5} =0.4

Substituting for m into equation (1) gives:

7=3(0.4)+c \\  \\ \Rightarrow c=7-1.2=5.8

Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
</span>
7 0
2 years ago
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