Answer:
John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.
Step-by-step explanation:
Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:
3.5x + 2x = 46.75, where the coefficients equals the amount of hours.
Let's solve for x!
5.5x=46.75
x = 46.75/5.5 = 17/2 = 8.5
John and Pam are paid 8.5 dollars per each hour worked.
To figure out John's share of the money, we will multiply the wage by the hours he worked.
8.5 x 3.5 = 29.75
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
288π cm³
================
volume of sphere: 4/3 * π * radius³
⇒ 4/3 * π * (6)³
⇒ 4/3 * 216 * π
⇒ 288π
Answer:
I would choose B
Step-by-step explanation:
f(x) = - (x) ^ (1/3)
A. The function is always increasing
This decreases as x gets larger
B. The function has a domain of all real numbers
This is true, x can be any number as long as we assume a real valued root instead of the principle root
C. The function has a range of {y}- infinity
The range is all real numbers
D. The function is a reflection of y=³√x
y = -³√x is a reflection across the x axis, this just says reflection. Which reflection, the x axis, the y axis or y=x?
E. The function passed through the point (3,-27)
y = - (3)^ 1/3 which is -1.44224957