M= - 7/4 I think this is the answer
Since Emily is walking at a constant speed, we can solve this using proportions, equating ratios of distance/time.
The first ratio is 3/4 miles/1/4 hour
The second ratio is 1 mile/ x hour
Equating the two ratios: 3/4 / 1/4 = 1/x
3 = 1/x
x = 1/3 hour
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:
Solving for x, we have:
Therefore, x=22.67 and the answer is A.
Fraction of girls = 1 - 3/7 = 4/7
4/7 is equivalent to 72 girls
1/7 .. .. ............. 72 / 4 = 18
Total number of children = 7/7 = 18*7 = 126 Answer
