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sveta [45]
3 years ago
11

A hotel manager is adding a tile border around the​ hotel's rectangular pool. Let p represent the width of the​ pool, in feet. T

he length is 3 more than 3 times the​ width, as shown. Write two expressions that represent the perimeter of the pool.

Mathematics
2 answers:
Ronch [10]3 years ago
6 0

Answer:

A and F

Step-by-step explanation:

Stells [14]3 years ago
3 0
It’s A&F, because when finding perimeter, you’re adding all of the sides together. Two of the sides are equal to “p”, while two of them are equal to “3p+3”, with this it would be “p+p+3p+3+3p+3”, and once simplified would result in “8p+6”.
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The prism shown has a volume of 300 m3. A prism has a length of 7.5 meters, width of w, and height of 5 meters. What is the widt
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Answer:

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Step-by-step explanation:

7.5*5=37.5

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11+x+13=40<br><br> Challenge of the day
mina [271]

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

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The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

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