Answer: 3y - x - 42 = 0
Step-by-step explanation:
The equation y + 1 = -3(x - 5)
Now expand the expression by opening the brackets
y + 1 = -3x + 15
Recall,
Equation of line , y = mx + c , where m = slope
rearranging the equation above in order to determine the ( m)
y = -3x -1 + 15
y = -3x + 14
Recall again condition for perpendicularity
m₁m₂ = -1
From the equation given, m₁ = -3, therefore , to get m₂
-3 x m₂ = -1
-3m₂ = -1
Therefore m₂ = -1/-3
m₂ = 1/3
Now , to find the equation of the second line parallel to the first one,
Just replaced the -3 in the equation above by m₂ = 1/3 in
y = -3x + 14
y = x/3 + 14
Now , multiply both the RHS and LHS of the equation by 3, to make it a linear.
3y = x + 3 x 14
3y = x + 42
3y - x - 42 =0
Answer:
185 adults and 184 children
Step-by-step explanation:
People entering the park = adults plus children
369 = a+c
Total money = admission fee for kids * number of children + admission fee for adults * number of adults
1671 = 3.25c + 5.80a
We have 2 equations and 2 unknowns
Solve the first equation for a by subtracting c from each side
369-c = a+c-c
369-c =a
Substitute this in to the second equation
1671 = 3.25 c +5.80 (369-c)
Distribute the 5.8
1671 =3.25c +5.8*369 - 5.8c
1671 = 3.25c +2140.2-5.8c
Combine like terms
1671 = -2.55c +2140.2
Subtract 2140.2 from each side
1671-2140.2 = -2.55c +2140.2-2140.2
-469.2 = -2.55c
Divide by -2.55 on each side
-469.2/-2.55 = -2.55c/-2.55
184 =c
There were 184 children
Now we need to find a
369 = a+c
369 = a+184
Subtract 184 from each side
369-184 = a+184-184
185 =a
There were 185 adults
5/8+1 3/4
5/8+7/4(turned into improper fraction)
5/8+14/8=19/8=2 3/8
(Make sure they all have a common denominator so that u will be able to add)Then your answer is an improper fraction so u turn it in to a mixed number and 2 1/2 is the same as 2 4/8 and you have 2 3/8 therefore,
no you do not have enough flour you need 1/8 of a cup more.
Answer: 95% confidence interval would be (0.449, 0.511)
Step-by-step explanation:
Since we have given that
n = 1022
p = 48% = 0.48
We need to find the 95% confidence interval first.
z = 1.96
Margin of error would be
95% confidence interval would be
It means true proportion who felt that economic growth is more important than protecting the environment is within 0.449 and 0.511 using 95% confidence.
Answer: 24
Step-by-step explanation:
x/2*3-9=7. So you want to know what x is. So lets start reverse thinking. 7+9=16, 16=x/2*3. That means 16 is 2/3 of x. 16/2=8, 8*3=24! The answer is 24.
