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labwork [276]
3 years ago
14

Eighty percent of the fans left the competition happy. If 800 fans left the competition unhappy, how many left happy ?

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer: 640

Step-by-step explanation:

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I need help please!!
valkas [14]

Answer:

14 hrs of babysitting and 6 hrs of tutoring

3 0
3 years ago
A (0, 2) and B (6,6) are points on the straight line ABCD.
elena-14-01-66 [18.8K]

Answer:

(18, 14)

Step-by-step explanation:

We know that C and D lie on the line AB and BC = CD = AB. Then we need to use the distance formula and equation of the line AB to find the other two coordinates.

The distance formula states that the distance between two points (x_1,y_1) and (x_2,y_2), the distance is denoted by: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Let's find the distance between A and B:

d = \sqrt{(6-0)^2+(6-2)^2}=\sqrt{6^2+4^2} =\sqrt{36+16} =\sqrt{52} =2\sqrt{13}

Now say the coordinates of D are (a, b). Then the distance between D and B will be twice of 2√13, which is 4√13:

4√13 = \sqrt{(6-a)^2+(6-b)^2}

Square both sides:

208 = (6 - a)² + (6 - b)²

Let's also find the equation of the line AB. The y-intercept we know is 2, so in y = mx + b, b = 2. The slope is (6 - 2) / (6 - 0) = 4/6 = 2/3. So the equation of the line is: y = (2/3)x + 2. Since (a, b) lines on this line, we can put in a for x and b for y: b = (2/3)a + 2. Substitute this expression in for b in the previous equation:

208 = (6 - a)² + (6 - b)²

208 = (6 - a)² + (6 - (2/3a + 2))² = (6 - a)² + (-2/3a + 4)²

208 = a² - 12a + 36 + 4/9a² - 16/3a + 16 = 13/9a² - 52/3a + 52

0 = 13/9a² - 52/3a - 156

13a² - 156a - 1404 = 0

a² - 12a - 108 = 0

(a + 6)(a - 18) = 0

a = -6 or a = 18

We know a can't be negative so a = 18. Plug this back in to find b:

b = 2/3a + 2 = (2/3) * 18 + 2 = 12 + 2 = 14

So point D has coordinates (18, 14).

8 0
3 years ago
Read 2 more answers
On a map, San Francisco is 7.5 inches from San Diego. The actual distance is 500 miles. The same map shows that Fresno is 3.3 in
Strike441 [17]
If 500 miles is represented by 7.5 inches:
Divide 500 by 7.5 
500/7.5 = 66.666
Multiply this by 3.3
66.666*3.3 = 220

The answer is 220 miles
6 0
3 years ago
Read 2 more answers
Which number line shows all the values of a that make the inequality - 3x +1 < 7 true?
GrogVix [38]

Answer:

Third option

Step-by-step explanation:

5 0
3 years ago
Movie tickets cost $8 for children and $12 for adults. A movie theater has 300 seats. The theater wants to collect at least $4,8
butalik [34]

Answer:

8x + 12y = 4800

\left \{ {{8x + 12y = 4800} \atop {x+ y = 300}} \right.

Step-by-step explanation:

3 0
3 years ago
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