Answer:
Step-by-step explanequation of line passing through (x₁,y₁):-
y-y₁=m(x-x₁)
The equation of line which passes through (4,3) and slope is 5/4
y-3=5/4(x-4)
4y-12=5x-20
5x-4y-8=0ation:
Answer:
454
Step-by-step explanation:
set up a system of equation
let y be the number of students
let x be the number of adults
because there are twice the amount of students attended as adults, we can use y=2x as one equation
the other equation will be 6.5y+9x=4972 because this represents the total amount of money
plug 2x for y : 6.5(2x)+9x=4972 : x=226
plug 226 in for the first equation : y=2(226) : y=452
For question 7, if we add all votes for tiger and eagle, we get
tiger = 14 + 13 + 8 + 5 = 40
eagle = 6 + 7 + 12 + 15 = 40
so choices A and B are wrong.
C is also wrong because fifth and sixth grade votes for eagle are 6 + 7 = 13 and the 5th and 6th grade votes for tiger are 14 + 13 = 27. clearly 5th + 6th like tiger more.
D is the answer for question 7
question 8
rolling a cube does not affect the other cube so it is all independent probability.
cube: 1 2 3 4 5 6
3 even numbers and 3 odd numbers
so probability of rolling an even number is
1/6 + 1/6 + 1/6 = 3/6 = 1/2
multiplying by total number of rolls, she will get even numberss
300 * 1/2 = 150
about 150 time.
so half of the time, Cassie will roll and even number about half the number of rolls. never exactly since this is all probability. more likely for it to be around 150 times than exactly 150 time.
choice C is answer for question 8
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The formula of a slope:

Q1.
We have the equation of a line <em>p </em>in the standard form

Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>

The slope 
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

Divide the slope of <em>p</em> by the slope of <em>q</em>:

Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):

.06*120=$7.20
.005*44=$0.22