Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
Answer:
You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
5.553
Step-by-step explanation:
we would subtract 6.75 from 1.197 which in terms would equal 5.553
Answer:
N$12 576. 11
Step-by-step explanation:
Loss%=10%
S.P= N$11 480.50
C.P =?
Loss%=100(C.P - S.P)/C.P
10=100(C.P-11 480.50)/C.P
10C.P=100C.P - 1 148 050
1 148 050=100C.P - 10C.P
1 148 050=90C.P
C.P=N$12 576.11
First we need to find what 3% of 700 is. We know 10% is 70, 5% is 35, so we need to find out what 3% is. If you don't know how to calculate percentages of a number, I recommend starting with 10%. This way you know 10% of the number is 70, so you will also know that 1% of the number is 7. 7 x 3 = 21. So 3% of 700 is 21. Since it was over 6 years, we multiply 21 x 6. That gives us 126. She will be paid $126 in interest in the first six years.
