
At the respective max and min values
Answer:
Step-by-step explanation:
(7/12) of 840 attended the concert:
(7/12)*(840) = 490 students attended the Spring Concert.
(840 - 490) = 350 did not attend
(350/840) is the fraction of students who did not attend. This can be reduced to (35/84)
(350/840) = 0.4167 or 41.67% did not attend.
Answer:

Step-by-step explanation:
we know that
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
so
In this problem
-----> by corresponding angles
see the attached figure to better understand the problem
Solve for x
Subtract 50 both sides


Divide by 8 both sides


Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
Loretta:
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles
Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles
The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours
Answer: Loretta's dad drove for 6 hours.