X = -6 + y...so we sub in -6 + y for x in the other equation
x - 3y = 28
-6 + y - 3y = 28
-2y - 6 = 28
-2y = 28 + 6
-2y = 34
y = -34/2
y = - 17
x = -6 + y
x = -6 - 17
x = - 23
solution is (-23,-17)
Answer:
Below.
Step-by-step explanation:
To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the rectangles.
So to find the number of students with grade U (< 160) it is:
120 * 0.2 + 40*0.5
= 24 + 20
= 44.
The number for Grade E
= (200 - 160) * 0.5
= 40 * 0.5
= 20.
The others can be found in the same way.
Looks like a geometric sequence
-15 each time
Hope this help :)
Answer:
$8.50 per hour
Step-by-step explanation:
Alyssa worked 3 hours on Sunday and 4.2 hours on Monday
Total Number of hours Alyssa worked= Number of hours she worked on Sunday+Number of hours she worked on Monday=(3+4.2)=7.2 Hours
Total amount she earned if she is paid in a hourly rate=(Total Number of hours she worked×Money she earns per hour)
Replacing;
Total amount she earned=$61.20, Number of hours she worked=7.2, Money she earns per hour is unknown=M
61.20=7.2×M
Solving for M
(7.2×M)/7.2=61.20/7.2
M=$8.50 per hour
The money she earns per hour=$8.50
Answer:supplementary
Step-by-step explanation:By the angles shown