What you need to do is that you plug p=3 into the expression [(5.4p+5)+(8+3.2p)]/2 and you have:
[(5.4*3+5)+(8+3.2*3)]/2
= (21.2+ 17.6)/2
= 38.8/2
= 19.4
The average of the two boys' points is p=3 is 19.4 points~
W=30/24.5≈1.2.
Therefore, Sierra's morning walk is about 1.2 miles.
Answer:
$7, 657
Step-by-step explanation:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
Answer:
a) 18 students per teacher
b) 9 students per tutor
c) 7 tutors
Step-by-step explanation:
An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.
a) How many students does the academy have per teacher?
6 teachers = 108 students
1 teacher = x
Cross Multiply.
6x = 108
x = 108/6
x = 18 students per teacher
b) Per tutor?
5 tutor = 45 students
1 tutor = x
Cross Multiply
5x = 45
x = 45/5
x = 9 students
= 9 students per tutor
c) How many tutors does the academy need if it has 63 students?
45 students = 5 tutors
63 students = x
Cross Multiply
45x = 63 × 5
x = 63 × 5/45
x = 7 tutors
Answer: x4 + 4x3 + 10x2 is the correct option
Step-by-step explanation:
The standard form a a polynomial depends is written with respect to the highest power to which the variable or unknown of that polynomial is raised. The term which is raised to the highest power always begin the polynomial. This is followed by the other terms whose variables or unknowns has lower are raised to lower powers and it is in a descending order.
Looking at the polynomials given, the only one written in standard form is
x4 + 4x3 + 10x2
The powers of x are arranged in a descending order.