Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
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In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J
Answer:
A. Carla is on the right track because she is finding the slopes of consecutive sides to check for perpendicular sides.
Step-by-step explanation:
Only adjacent sides can be perpendicular, so Jonah's approach of finding slopes of opposite sides cannot work.
Carla is on the right track; choice A.
Answer:
(b) Radius of the sphere = 5 units.
Step-by-step explanation:
Here, given:
The volume of the sphere =
cubic units ... (1)
Also, radius of the sphere = x units
Now, VOLUME OF SPHERE = 
So, volume of a sphere with radius x = 
But volume of sphere is given by (1).

Hence, radius of the sphere = 5 units.
The answer in the simplest form as a mixed number is 6 1/3
Answer:
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.