Answer:
Step-by-step explanation:
<u>Given</u>
- Total number of participants= 80
- Male = x
- Female = 80 - x
- Average = 58.5
- Average for male = 64
- Average for female = 56
<u>Equation to reflect the sum:</u>
- 64x + 56(80 - x) = 80*58.5
- 64x - 56x = 80*(68.5 - 56)
- 8x = 80*2.5
- x = 25
<u>The answer is </u>25 male participants
26 percent of 50 is 13
50-13 is 37
Answer:
-v
Step-by-step explanation:
The opposite vector is the vector that has the same magnitude of the original vector but points in opposite direction.So the vector -v has the same magnitude as the vector v but points to the opposite direction. Vector -v will start from the point 6 and will end at the point 3.That is opposite of the vector v which starts from point 3 and ends at point 6.
Hence the answer is -v.
1) Point-slope form
(y-y1)=m(x-x1)
m= - 3,
point (3,-4), so x1 = 3, y1 = - 4.
(y+4)= -3(x- 3)
2)Point-slope form
(y-y1)=m(x-x1)
m= - 3/4,
point (4,5), so x1 = 4, y1 = 5.
(y-5)= - 3/4(x-4)
<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>