The system of equations is j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Jamie is 5 yearsolder than Ella. Jamie's age is 11 years, less than three times Ella's age.
The system of equation can be written as:
j = e + 5
j = 3e - 11
Thus, the system of equations are j = e + 5 and j = 3e - 11 we can solve it using the substitution method.
Learn more about the linear equation here:
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Answer: 3.82
Step-by-step explanation: there is a decimal
Answer:
California's rate for heart disease is more extreme than Cancer
Step-by-step explanation:
Given
Represent Cancer with C and Heart Disease with H
H = 143
C = 137
Population = per 100,000
First we need to determine the probability of both.
For H
P(H) = H/100000
P(H) = 143/100000
P(H) = 0.00143
For C
P(C) = C/100000
P(C) = 137/100000
P(C) = 0.00137
By comparison,
0.00143 > 0.00137
So, California's rate for heart disease is more extreme than Cancer.
Reason: P(H) > P(C)
When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.
Ivan has 25 quarters and 50 nickels.
Let n denote the number of nickels.
and q denote the number of quarters.
1 nickel=0.05 dollar
and 1 quarter=0.25 dollar
Hence, we have:
0.05n+0.25q=8.75
( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )
On multiplying both side of the equation by 100 we have:
5n+25q=875
on dividing both side of the equation by 5 we have:
n+5q=175-----------------(1)
Also, n=2q---------------(2)
( Since, the number of nickels is twice the number of quarters )
Hence, on putting equation (2) in equation (1) we have:
2q+5q=175
i.e.
7q=175
i.e. q=25
and on putting the value of q in equation (2) we have:
n=50
The equation of the line in slope-intercept form is:
Where,
m: slope of the line
b: cutting point with the y axis.
For the slope of the line we have:
Substituting values we have:
Rewriting we have:
Then, we choose an ordered pair:
Substituting values in the generic equation of the line we have:
Rewriting we have:
Answer:
The equation of the line in slope-intercept form is:
Answer:
y =
Step-by-step explanation:
The slope-intercept form is y = mx + b, where "m" is the slope and 'b" is the y-intercept.
Given: G(-6, -4) and E(4, 8)
Now we can use these points G(-6, -4) and E(4, 8) and find the slope.
Slope (m) =
Here x1 = -6, y1 = -4, x2 = 4 and y2 = 8
Plug in these values in the above formula, we get
slope(m) =
=
Slope (m) =
Now we can use the formula (y - y1) = m(x - x1) and find the required equation.
We can plug in m value and (x1, y1) value and find the equation.
y - (-4) = 6/5(x - (-6))
y + 4 = 6/5(x + 6)
Using the distributive property a(b + c) = ab + ac, we get
y + 4 = 6/5 x + 36/5
y = 6/5 x + 36/5 - 4
y =6/5 x +(
y =
Answer:
Date Account Title Debit Credit
XX-XX-XXX Sales returns and Allowances Rs. 5,000
Accounts receivable - M Center Rs. 5,000
Inventory Rs. 5,000
Cost of Goods sold Rs. 5,000