Answer: x=15
Step-by-step explanation:
To solve problems like this you need to simplify the equations on both sides and then isolate your variable x.
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
Numbers can be expressed, ordered and compared by a lot of
mathematical principles, properties, models and paradigms. There are different
properties of numbers to associate, group and distribute numbers. For example
commutative property of addition, 1 + 2 = 3 can be 3 = 1 + 2. Moreover, numbers
can be expressed by mathematical form, thus 100 wherein 1 is in the place order
of hundreds. And so on… other examples can be mathematical symbols or
inequality to compare numbers. For example, 1 > 2. One is less than 2.
Answer:
Going horizontally,
Q1 a) x = 133°
Q1 b) x = 59°
Q1 c) x = 189°
Q1 d) x = 32°
Q1 e) x = 72°
Q1 f) x = 36°
Q2 a) x = 53°
Q2 b) x = 94°
Q2 c) x = 10°
Workings out:
To work out the interior angles, you need to know that angles on a straight line add up to 180°. In addition, you also need to know that angles around a point add up to 360°. When you need to find a missing angle, if the angle is on a line or in a triangle, take whatever value/values the angle/angles you have are and take it away from 180°. If the angle is around a point, (or in a square, where all angles are the same anyway) add however many values you have for the angles then take that away from 360°. Hope this helps! :)
