85c - 0.5(85c) = 161.5
85c - 4.25c = 161.5
80.75c = 161.5
c = 161.5 / 80.75
c = 2............so she needs express proofreading
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x - 3 < -7 x + 5 > = 8
x < -7 + 3 x > = 8 - 5
x < -4 x > = 3
open circle on -4, shading to the left....closed circle on 3, shading to the right
Answer:
B. Solve each equation for a variable
Is (-1,13) a solution of the system: Yes it is x =1, y= 13
Step-by-step explanation:
-4x=30-2y
- 15 = - 2y + 11x
-4x=30-2y
-2y+4y = -30-------------------i
- 2y + 11x= - 15 ---------------ii
make x the subject of formula in equ i
-4x=30-2y
x= (30-2y)/-4
insert x= (30-2y)/-4 in equ ii
- 2y + 11x= - 15
-2y+ 11((30-2y)/-4)= -15
-2y+(330-22y)/4 = -15
-8y+330-22y/4 = -15
-8y-22y+330/4= -15
cross multiply
-30y+330 = 4x-15 = -60
-30y = -60-330
-30y =--390
y= -390/-30 = 13
if y = 13
x = (30-2y)/-4 = (30-2x13)/-4 = (30-26)/4 = 4/4 = 1
x=1 , y=13
Answer:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
Step-by-step explanation:
Data given
n=300 represent the random sample size
estimated proportion of people with cats
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Null and alternative hypothesis
We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:
Null hypothesis:
Alternative hypothesis:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
The statistic is given by:
(1)
Replacing we got:
Answer:
Option C. X=A/4
Step-by-step explanation:
we know that
The area of the rectangular post it note is equal to

where
L is the length
W is the width
In this problem we have


substitute

solve for x
That means ----> isolate the variable x
Divide by 4 both sides

Answer:
b = 
Step-by-step explanation:
Given
a =
( multiply both sides by 3b - 2 )
a(3b - 2) = b + 1 ← distribute left side
3ab - 2a = b + 1 ( subtract b from both sides )
3ab - b - 2a = 1 ( add 2a to both sides )
3ab - b = 1 + 2a ← factor out b from each term on the left side
b(3a - 1) = 1 + 2a ( divide both sides by 3a - 1 )
b = 