The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the

Response:

PQ's slope is 0

MN's slope equals infinity

The lines PQ and MN are perpendicular to one another

Detailed explanation:

For two points in the coordinate plane, denoted as (x1, y1) and (x2, y2), the slope is determined as follows:

If a line has a slope of zero, it runs parallel to the X-axis and stands perpendicular to the Y-axis

If a line's slope is infinite, it is parallel to the Y-axis and perpendicular to the X-axis

Moreover, it is established that X and Y are perpendicular to each other.

As PQ's slope is zero, it runs parallel to the X-axis and perpendicular to the Y-axis

With MN having an infinite slope, it runs parallel to the Y-axis and perpendicular to the X-axis.

Therefore, lines PQ and MN are indeed perpendicular.

Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60  0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces

The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.

This equation can be solved with two solutions, corresponding to and .

Answer:

The repair of the stretch of road will require

weeks to finish.

Step-by-step explanation:

Provided:

Length of the roads needing repair =

Length of the road workers can fix in a week =

To ascertain how many weeks it will take to mend this road stretch.

Solution:

Worker's road repair rate =   per week.

Overall road length to repair =

The time required to repair

of road by the workers can be calculated: ⇒

When dividing mixed numbers, we change them first into fractions.

To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:

⇒  

We revert the fraction back into a mixed number.

Thus, it will take

weeks to complete the road repair task.