I'm assuming you mean 9/12ths of a mile every day for 5 days?
Answer: 30.2
Explanation:
The mean is calculated by taking the sum of the values and dividing by the count.
For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:
186
6
=
31
And we can do the same for the men:
116
4
=
29
And now we can combine the sum and count of the men and women to find the mean for the office:
186
+
116
10
=
302
10
=
30.2
Step-by-step explanation:
Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,


Therefore,


Therefore, slope is
.
Applying point-slope form
we get


On multiplying both sides by 5, we get

5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.
</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
</span>
Answer:
x = 2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.5(6x−4)=10+4(1.5+0.5x)
Step 1: Simplify both sides of the equation.
2.5(6x−4)=10+4(1.5+0.5x)
(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)
15x+−10=10+6+2x
15x−10=(2x)+(10+6)(Combine Like Terms)
15x−10=2x+16
15x−10=2x+16
Step 2: Subtract 2x from both sides.
15x−10−2x=2x+16−2x
13x−10=16
Step 3: Add 10 to both sides.
13x−10+10=16+10
13x=26
Step 4: Divide both sides by 13.
x=2