Answer:
1.x=6 2.x=3 3. x<-4 4. x<-2 5. x=0 6.x=8 8-7=1
Step-by-step explanation:
Answer:
There were 84 students in 6th grade, 68 in 7th grade, and 90 in 8th grade.
Step-by-step explanation:
Given that Elk middle school has 264 students, and there are 84 students in the eighth grade, and there are 22 fewer seventh-grade students than sixth-grade students, to determine how many students there are in each grade, the following calculation must be performed:
(264 - 84) / 2) - 22 = X
(180/2) - 22 = X
90 - 22 = X
68 = X
6th grade = 84
7th grade = 68
8th grade = 90
Therefore, there were 84 students in 6th grade, 68 in 7th grade, and 90 in 8th grade.
Answer:
Option D
Step-by-step explanation:
Given that the number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time
Let t be the independent variable and no of hours H(t) be the dependent variable on t.
Maximum H(t) = 14.4 and average =12
Period = 365 days
If we fix a sine curve for this since period is 365, we must have coefficient of t as
So the function H(t) will have sine term as sin 0.017t ... i
Since average = 12, we have
H(t) = 12+a sin 0.017t
for some suitable a.
To find a, use maximum
Maximum is when angle is 90 degrees i.e. when sine value =1
max H(5) = 14.4 = 12+a (1)
a =2.4
Hence correct equation would be'H(t) = 2.4sin(0.017t)+12
OPtion D is right answer.
Answer:
Costs are $490
49 shirts are sold
Step-by-step explanation:
98 + 8x = 10x
98 = 2x
49 = x
98 + 8(49) = $490 in costs
49 shirts sold