9514 1404 393
Answer:
-1/6
Step-by-step explanation:
A suitable calculator can evaluate this for you and show you the result as a fraction.
You start with the multiplication in the inner-most set of brackets. Here, those brackets are the absolute value function.
-2(-1/3) = +2/3
Then the sum in those brackets:
-5/6 +2/3 = -5/6 +4/6 = -1/6
The absolute value changes the sign of this back to positive, so the value in square brackets is ...
3 -(1/6) = 18/6 -1/6 = 17/6
Finally, this value is divided by -17, so you have ...
Hey there!
To start, the slope intercept equation format is y=mx+b where m=the slope and b=the y-intercept.
Because you appear to have a coordinate set to plug in for x and y as well as a slope of 4, you can plug your known values into the slope intercept equation:
y=mx+b
coordinate: (1,6)
y=6 (the y value of the coordinate point)
x=1 (the x value of the coordinate point)
m=4 (the slope of the equation, given)
6=4(1)+b
Because b, your y-intercept is your only missing value, you can simplify your equation and solve for b:
6=4(1)+b
6=4+b
b=2
Now that you have your two needed values, your slope and your y-intercept, your final equation should be y=4x+2, or the third choice.
Hope this helps and I hope you have a wonderful rest of your day! :)
Formula
====
d = r * t
Givens
======
d = 2 3/4
t = 1 hour 15 minutes
r = ????
Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes
1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours
Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles
Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour
Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4
r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
I'm not totally sure the exact answer, or if this even helps, but the Y intercept is changing from -2 to 5
Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
