From second equation y = 8 - x so
7x + 2(8 - x) = -14
5x = -14 - 16 = -30
x = -6
and y = 8 - -6 = 14
Answer x=-6,y=14
#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.
Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.
Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9
#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.
Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.
Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95
Answer:
option (B) 20
Step-by-step explanation:
Data provided in the question:
Number of photographs initially sold = 20
selling price of first 20 photographs = $10 each
Therefore,
Revenue from 20 photographs = 20 × $10 = $200
Selling price of further photographs = $15
Let the number of additional photographs sold be 'x'
thus,
total revenue = $200 + $15x
now,
according to the question
80% of ($200 + $15x) = $400
or
0.80 × ($200 + $15x) = $400
or
($200 + $15x) = $500
or
$15x = $300
or
x = 20
Hence,
the answer is option (B) 20
or x= twelve-fifths
Option A is correct.
Step-by-step explanation:
We need to find the solution of:
Solving:
Taking square on both sides:
Verifying the solution by putting x = 12/5 in the given equation, we get true result.
So, or x= twelve-fifths
Option A is correct.
Keywords: Solving Square root Equations
Learn more about Solving Square root Equations at:
#learnwithBrainly
First find the slope of the line segment joining the points.
Slope = ((-5)-7)/(1-(-3)) = -3
The slope of any perpendicular to the line is 1/3
Find the midpoint of the line segment by taking the average of the coordinates.
x-coord of midpoint = (-3+1)/2 = -1
y-coord of midpoint = (7-5)/2 = 1
Midpoint : (-1,1)
Point-slope equation for line of slope 1/3 that passes through (-1,1):
y-1 = (1/3)(x+1)
