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sesenic [268]
3 years ago
10

I really need help with this

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
Number of boys:
1000/2+20/2=510
Number of girls:
1000/2-20/2=490
510 boys and 490 girls competed at Special Olympics

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The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic inches of water,
Elena-2011 [213]
V = 18 x 8 x 12 = 1728 cm3 = 1728 ml = 1.729 liters
6 0
3 years ago
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

7 0
2 years ago
Read 2 more answers
A bag contains red balls and white balls. If five balls are to be pulled from the bag, with replacement, the probability of gett
Ipatiy [6.2K]

Answer:

Percentage of balls which are red = 80%.

Step-by-step explanation:

Let the probability of drawing a red ball  be x then the probability of drawing a white ball is 1-x.

There are 5C3 = 10 ways of getting 3 reds in 5 draws so  the probability of this is 10* x^3 * (1 - x)^2.

The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.

The  first probability is 32 times the last.

So we have the equation:

10x^3(1 - x)^2  /  5x(1 - x)^4  = 32

2x^2 / (1 - x)^2 = 32

2x^2 = 32(1 -x)^2

2x^2 = 32( 1 - 2x + x^2)

2x^2 = 32 - 64x + 32x^2

30x^2 - 64x  + 32 = 0

15x^2 - 32x + 16 = 0

(5x - 4)(3x - 4) = 0

x = 0.8, 1.333...

The probability must be < 1 so x = 0.8  = 80%.

6 0
3 years ago
The ordered pair (x+2,y-3) indicates a translation which moves the pre image
yarga [219]
I think it's the first one. Two units right and three units down.
7 0
3 years ago
The scale of this map is 1 inch = 50 miles. How many miles is it between Milwaukee and Mackinac Bridge? Assume the distance betw
blsea [12.9K]

Answer:

200 miles

Explanation:

Here map to actual to scale: 1 inch = 50 miles

  • On map distance: 4 inches

To find actual distance, simply multiply map distance by scale factor

Actual Distance : 4 × 50 = 200 miles

6 0
1 year ago
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