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Tanya [424]
3 years ago
13

QUESTION 1

Mathematics
1 answer:
Bess [88]3 years ago
3 0
You can look at it the same as 4/10, which is 0.4 in decimal form
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There were 25 runners competing in a race. The number of runners who finished ahead of Paula was one-third the number of runners
alexandr402 [8]

<u>Answer:</u>

7th Place

<u>Step-by-step explanation:</u>

Seeing as how the number of runners in front of Paula is \frac{1}{3} the number of runners behind her,

Assign the number of people behind Paula to a variable:

# of people behind Paula = b, which means

# of people ahead of Paula = \frac{1}{3} b

Use the variable to make an equation:

b (people behind Paula) + \frac{1}{3} b (people ahead of Paula) + 1 (Paula) = 25

b + \frac{1}{3} b + 1 = 25

Solve for b:

b + \frac{1}{3} b + 1 = 25

b + \frac{1}{3} b = 24

\frac{4}{3} b = 24

b = 18

If there are 18 people behind Paula, there are \frac{1}{3} * 18 people in front of her, which is 6; This puts Paula in 7th place.

5 0
3 years ago
If a prize of $6000 was divided among Georgia, Leanne and Maya in the ratio
iVinArrow [24]

Answer:

G-$3000, L- $1200, M- $1800

Step-by-step explanation:

Georgia= 5/10 * 6000= $3000

Leanee= 2/10 * 6000= $1200

Maya= 3/10 * 6000= $1800

5 0
3 years ago
If you place a 20 ft ladder 4ft from the base of the wall. How high up will it reach? Round answer to the nearest tenth
xeze [42]

Answer:

h = 19.6 ft

Step-by-step explanation:

Given that,

A 20 ft ladder 4ft from the base of the wall.

The height of the ladder, H = 20 ft

The base distance, b = 4 ft

We need to find the height of the reach. Let it is P.

Using Pythagoras theorem,

H^2=b^2+P^2\\\\P=\sqrt{H^2-b^2}\\\\P=\sqrt{20^2-4^2}\\\\=19.59\ ft

or

P = 19.6 ft

So, the height is 19.6 ft.

7 0
4 years ago
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the m
andreyandreev [35.5K]

Answer:

  • 2000 m²
  • 2827 m²
  • B.  Marci

Step-by-step explanation:

It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².

(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...

 W = √(1²+3²) = √10

The long side is ...

  L = √(2²+6²) = √40

Then the area is ...

  A = LW = (√40)(√10) = √400 = 20

The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m

__

(b) The area of the museum is given by the formula ...

  A = πr² = π(3)² = 9π grid squares = 2827 m²

The area of the museum is 2827 m².

__

(c) Marci says the museum has a larger area than the school. She is correct.

Marci should win the debate.

5 0
3 years ago
83% of what number is 166.83​
serious [3.7K]

Answer:

201

Step-by-step explanation:

83% * 201= 166.83

6 0
3 years ago
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