Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,



The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:




Therefore, the ratio of money spent on electric to that on gas is 3:2.
Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by
where x and y are modeled in inches.
Now,the given equation
is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation
, we get

In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
Answer:
m=2/5
Step-by-step explanation:
Use the Slope-intercept form y=mx+b to find the slope m.
Answer:
4
Step-by-step explanation:
Answer:
slope(m)=5/4 and
y-intercept (c)=12
Step-by-step explanation:
here,given equation of a line is
5x-4y-1=0...eqn(i)
equation of any line parallel to line(i) is
5x-4y+k=0...eqn(ii)
since,the line(ii) passes through (-8,2)[replacing x=-8 and y=2 in eqn(ii), we get]
5*(-8)-4*2+k=0
or-40-8+k=0
•°•k=48
substituting the value of k=48 in eqn(ii),
5x-4y+48=0 is the required equation of the line.
now,
changing eqn(ii) in slope intercept form we get,
4y=5x+48
or,y=5x/4+48/4
or,y=(5/4)x+12
comparing it into y=mx+c we get,
slope(m)=5/4 and y-intercept(c)=12