First, look at how many numbers are divisible by 2 and 3.
12,72, and 108 and are all divisible by both 2 and 3. That makes 3 out of 8 numbers.
Depending on what form you have to put the probability, that makes it 3:8, 3 out of 8, or 37.5% probability.
Answer:
The equation of the line parallel to y=4/3x−4 that passes through (-4,6) is y=4/3x−10/3 .
The equation of the line perpendicular to y=43x−4 that passes through (-4,6) is y=−3/4x+10 .
Step-by-step explanation:
Parallel means equal slopes. Hence, the slope of the line parallel to y=4/3x+3 is 4/3 . We know our slope and we know a point. We can therefore use point-slope form to determine the equation of the new line.
y−y1=m(x−x1)
y−6=4/3(x−4)
y−6=4/3x−16/3
y=4/3x−7/3
The equation of the line parallel to y=4/3x−4 that passes through (-4,6) is y=4/3x−10/3 .
Question #2:
Perpendicular means negative reciprocal slopes. Hence, the slope perpendicular to y=4/3x+3 is y=−3/4 . We know our slope and we know a point. We can therefore use point-slope form to determine the equation of the new line.
y−y1=m(x−x1)
y−6=−3/4(x-4)
y−6=−3/4x+6
y=−3/4x+10
The equation of the line perpendicular to y=43x−4 that passes through (-4,6) is y=−3/4x+10 .
Step-by-step explanation:
Let the two numbers be x and y
By the question
x + y = 87 ..... equation (I)
x - y = 65 ...... equation (II)
Now adding both equations we get
2x = 152
x = 152 / 2
Therefore x = 76
Putting x = 76 in equation i
76 + y = 87
y = 87 - 76
Therefore y = 11
The two numbers are 76 and 11.
Hope it helps :)
Answer:
<u> 2y + 3x = 3</u>
Step-by-step explanation:
The standard form of equation of a line is expressed as;
y = mx+c
m is the slope
b is the intercept
We are to find the equation of a line passing through the points (-3,19) and (6,-2)
First get the slope
m = y2-y1/x2-x1
m = -2-19/6-(-3)
m = -21/9
m = -7/3
Get the y- intercept b;
Substitute the coordinate (6, -2) and m = -7/3 into the expression y = mx+b and get b;
-2 = -7/3(6) + c
-2 = -7/2 + c
c = 7/2 - 2
c = (7-4)/2
c = 3/2
Substitute the slope and intercept into the formula
y = mx+b
y = -7x/2 + 3/2
Multiply through by 2;
2y = -7x + 3
2y + 7x = 3
Hence the required equation is<u> 2y + 7x = 3</u>
The money in account is $36.38.
Let, the current amount in the bank amount is x.
And the amount of money that will be deposited is y.
So, the total amount that will be in the bank can be denoted by x+y.
Given that you have $21.15 in the bank account.
So, value of x = $21.15
The amount you will be depositing in the bank account is $15.23.
So, value of y = $15.23
Hence, the total amount in the bank will be
Already amount in the bank (x) + deposited amount in the bank (y)
So, x +y
$21.15 + $ 15.23
Total amount in the bank = $36.38
Hence, total amount in the bank is $36.38
Learn more about the bank account problems here brainly.com/question/14017594
#SPJ9