Answer:
Anya's line has a slope of m = 3
Step-by-step explanation:
Explanation:-
Anya created a graph representing the line
(y−2)=3(x−1)
From this, we can deduce that the slope-intercept representation is
y = mx +c
Now by rewriting Anya's line
y−2=3(x−1)
⇒ y - 2 = 3x - 3
⇒ y = 3x - 3 + 2
⇒ y = 3 x - 1
<pBy comparing this with the slope-intercept structure<p y = mx +c<pwe conclude that Anya's slope is m = 3, and y-intercept is C = -1
Response:
1/6
Detailed explanation:
Let
c -----> the count of cola bottles chosen by Dan
s -----> the count of smarties selected by Dan
m -----> the count of marshmallows selected by Dan
we have
c=3s -----> A equation
m=2s -----> B equation
we understand that
To determine the fraction of the sweet bag that consists of smarties, we must divide the number of smarties by the total amount of sweets
The overall number of sweets is calculated as
(c+s+m)
substituting equations A and B into the total sweets
(3s+s+2s) =6s
Calculate the fraction
s/6s
Reduce it
1/6
A) AB rotates clockwise to align with BC
= ABD + DBC
= 33.3° + 30.6°
= 63.9°
b) If E is positioned directly opposite C.
EBC forms a straight line, thus the angle sums to 180°
ABE + ABD + DBC = 180°
ABE + 33.3° + 30.6° = 180°
ABE + 63.9° = 180°
ABE = 180 - 63.1
ABE = 116.9°
Hope this clarifies things.
Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
Solution:
There are 4 ways.
Detailed explanation:
Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).
- She can distribute 5 tootsie rolls to each brother.
- She can provide 3 twizzlers to each brother.
- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).
- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).
I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.
