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lapo4ka [179]
3 years ago
5

Given that 35.8 x 4.23= 151.434write down a division sum with an answer of 423.​

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

  151434/358 = 423

Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

  a·b = c   ⇒   a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

  4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

  423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

  151434/358 = 423

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Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
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A) Diagram

Below is a sketch of the recctangular lawn (the inside rectangle) and the gravel border.


  6 ft + 150 yards + 6 ft
-------------------------------
|                                    |
|     ---------------------      |
|     |                        |     |
|     |                        |     |   6 ft + 80 yard + 6 ft
|     |                        |     |
|      ---------------------     |
|                                    |
|------------------------------|

B) How many square feet of the gravel will surround the lawn?

Conversion: 1 yard = 3 feet

=> 80 yard = 80*3 feet = 240 feet

=> 150 yard = 150 * 3 feet = 450 feet

Area of the external rectangle = (6 ft + 240 ft + 6 ft) (6 ft + 450 ft + 6 ft) = 252 ft * 462 ft = 116,424 ft^2

Area of the internal rectangle = 240 ft * 450 ft = 108,000 ft^2

Area of the gravel border = 116,424 ft^2 - 108,000 ft^2 = 8424 ft^2

answer: 8424 ft^2

C) volume

volume = area of the base * depth

2 inches = 2/12 ft = 1/6 ft

=> volume = 8424 ft^2 * 1/6 ft = 1404 ft^3

answer: 1404 ft^3

C) cost

1 yard^3 = $ 30

1yard ^3 = (3 feet)^3 = 27 ft^3

=> cost = $ 30 / 27 ft^3

=> 1404 ft^3 * $30 / 27 ft^3 = $ 1560

answer: $ 1560
7 0
4 years ago
Bradley bought 2 cakes for his class Valentines's party. There are 23 students in his class. How much cake will each student rec
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4 0
3 years ago
IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE
boyakko [2]

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

8 0
3 years ago
Increase 400 by 1%<br> yes I need help please
Dima020 [189]

Answer:

404

Step-by-step explanation:

1% of 400 is 4

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