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Naily
2 months ago
14

A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The

distance to their hotel measures 8.5 cm on the map. What is the actual distance?
Mathematics
2 answers:
babunello [11.8K]2 months ago
6 0

Answer:

The actual distance is 21,250 meters or 21.25 kilometers.

Step-by-step explanation:

To find the real distance, multiply 8.5 cm by 250,000, resulting in 2,125,000 cm.

Since 1 meter equals 100 cm, this means 1 cm is 0.01 m.

Thus, converting 2,125,000 cm into meters gives us 2,125,000 multiplied by 0.01, equaling 21,250 meters.

When converting meters to kilometers, 1 kilometer equals 1,000 meters, indicating that 1 meter is 0.001 km.

Therefore, 21,250 meters can be expressed as 21,250 times 0.001 km, which is 21.25 km.

This leads us to the final answer.

Leona [12.6K]2 months ago
3 0

Answer: 12.25 km

Step-by-step explanation:

1:250,000 times 8.5 equals 8.5:2,125,000

Dividing 2,125,000 by 100 meters gives 21,250

Then, dividing 21,250 by 1,000 kilometers results in 21.25

The answer is thus 21.25 kilometers

I hope this is helpful

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Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are abou
zzz [12365]

Answer:

5%

Step-by-step explanation:

With four individuals, each receives 25% of the halwa. Yet, when a fifth individual joins, each share drops to 20%. Consequently, the original four individuals experience a 5% reduction in their servings due to the new arrival.

4 0
2 months ago
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Svet_ta [12734]

Answer:

Volume of the shaded area = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded area = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of the base of the pyramid = 15 units

w = width of the base of the pyramid = 10 units

h = height of pyramid = 12 units

Substituting the values helps find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded area = (600 - 36π) units³

3 0
1 month ago
Brad buys a pack of 12 bottles of energy drink for £9.25 he then sells all bottles for £1 each. Work out brads percentage profit
Svet_ta [12734]

La ganancia de Brad fue del 30%

Explicación adicional:

La ganancia es el dinero obtenido al vender un producto por encima de su costo original.

La fórmula para calcular la ganancia es:

Profit= Selling\ price-Purchase\ price

Datos:

Precio de compra del paquete de bebidas energéticas = £9.25

Precio de venta por botella = £1

Precio total por 12 botellas = 1 * 12 = £12

Ganancia = Precio de venta - Precio de compra

= 12 - 9.25

= £2.75

Así, la ganancia de Brad fue de £2.75

Luego,

Porcentaje de ganancia = (Ganancia / Precio de compra) * 100

= (2.75 / 9.25) * 100

= 0.30 * 100

= 30%

La ganancia de Brad fue del 30%

Palabras clave: Ganancia, pérdida

Aprende más sobre ganancia y pérdida en:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#AprendeConBrainly

3 0
2 months ago
Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando
tester [12383]

Answer:

1.  $14.88

2.  $12.40

Step-by-step explanation:

Translated into English:

A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.

Solution:

For 425 km at R $2.10 per km:

425 * 2.10 = $892.50 total expenditure

For the 60 assembled cabinets, the cost for each is calculated as:

Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88

When disassembled, the capacity becomes:

60 * 6 = 360

The cost per cabinet is then:

892.5/360 = $2.48

The savings indicate how much is saved compared to assembled cabinets:

14.88 - 2.48 = $12.40

Savings = $12.40

8 0
2 months ago
Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.
Svet_ta [12734]

12 pounds multiplied by $3 equals $36

$40 minus $36 equals $4

7 0
1 month ago
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