1. The total must be at least $1975:

2. Dog walks is no more than 4 times lawns:

3. At least 50 dog walks:
Answer:
so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that
, then its sum of digits is:

(Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0

(
)
N = 3

(
)
N = 6

(
)
N = 9

(
)
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:




It is quite evident that
so that number becomes divisible by 3, 6 and 9.
A zero of a function is the value of x for which f(x) = 0
f(x) = 16x^2 + 32x - 9 = 0
16x^2 - 4x + 36x - 9 = 0
(16x^2 - 4x) + (36x - 9) = 0
4x(4x - 1) + 9(4x - 1) = 0
(4x + 9)(4x - 1) = 0
4x + 9 = 0 and 4x - 1 = 0
4x = -9 and 4x = 1
x = -9/4 and x = 1/4
Answer:
Length of the line segment RS is, 18 cm.
Step-by-step explanation:
Two points are drawn on a ruler. Point R is located at 8 cm and Point S is located at 26 cm.
So, length of the line segment RS is,
(26 - 8) cm\
= 18 cm
We know that on a ruler if two points A and B are at a cm and b cm respectively, then, length of AB
= AB =
cm .
Given:
4/5 as many students who do not wear glasses as those who wear glasses.
60 students wear glasses.
Find the total number of students in the grade.
60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.
60 w/ glasses + 48 w/o glasses = 108 total number of students.