Alright, let's solve this problem! :)
<u>First we need to subtract 5k from both sides.</u>
3k−5k>12
<u>Then we simplify 3k - 5k to -2k.</u>
-2k > 12
<u>Now we divide both sides by -2.</u>
k < -12/2
<u>Now we simplify 12/2 to 6. </u>
k < -6
✔️Done!
Have an amazing day!
Answer:
length : 10 yard
width: 14 yard
Step-by-step explanation:
Let l be the length of the yard.
Since the width is 6 yards less than twice its length, we can say the width is 2l-6.
With width x length=area,
l (2l -6) = 140
2l^2 - 6l = 140
2l^2 - 6l - 140 = 0
Using the quadratic formula,
we can determine l = 10 or -7
since the length should not be negative,
the length is 10 yard.
Now substitute l=10 into 2l-6.
width = 2(10)-6
= 14 yard
Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;

Note that the slope-intercept form of the equation of a line is given as;

where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.
Answer:
He will burn 224 calories.
Step-by-step explanation:
Multiply 8 by 28 to get your answers because he runs 8 times more in 24 minutes.
:))