Answer:
m=7 z=-12
Step-by-step explanation:
expand brackets:
8m+24=5m+45
Change sides:
8m-5m=45-24
3m=21
<u>m=7</u>
<u />
<u>z-6</u> = <u>3</u>
2z 4
Coss multiply:
4z-24=6z
4z-6z=24
-2z=24
Divide both sides by -2:
z=-12
Answer:
Change 45 min to .75 hrs
Distance = speed * time
Train A's distance = 55(t+.75)
Train B's distance = 70t
The equation
D(t) = 70t + 55(t+.75)
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Mrs. Cali's Lower Quartile:2
Mrs. Cali's Upper Quartile:4
Mr. Ronald's Lower Quartile:4
Mr. Ronald's Upper Quartile: 7
Lower Quartile 2<4 (Mr.Ronald's is greater)
Upper Quartile 4<7 (Mr.Ronald's is greater)
Mr. Ronald's Upper and Lower Quartiles are Greater than Mrs. Cali's Upper and Lower Quartiles.
Mr. Ronald's Lower Quartile:4
Mrs. Cali's Upper Quartile:4
D is correct because Mrs. Cali's upper Quartile is at 4, which is where Mr. Ronald's Lower Quartile is.
Hopefully that helps!
Good Job getting it right on your own!