(D) 4 shaded for every 2 unshaded! Hope this helps! :)
Just addum up.
You should get the sum of 1.981 .
That's in standard form.
3x+5y=43
x=8+y
3(8+y)+5y=43
24+3y+5y=43
8y=19
y=19/8 = 2.375
x=8+2.375 = 10.375
10.375*3=31.125
5*2.375=11.875
31.125+11.875 = 43
10.375 gallons of gas ( round to 10.38)
2.375 gallons of diesel (round to 2.38)
<h3>
Answer: 34.95</h3>
=======================================================
Explanation:
The upper boundary, or upper bound, is a fence of sorts.
Note how the following values all round to 34.9, when rounding to one decimal place
- 34.94
- 34.945
- 34.949
- 34.9499
- 34.94999
- 34.949999
- 34.9499999
- 34.94999999
We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9
All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0
See a solution process below:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
2
−
4
)
2
+
(
9
−
7
)
2
d
=
√
(
−
2
)
2
+
2
2
d
=
√
4
+
4
d
=
√
8
Or
d
=
2.828
rounded to the nearest thousandth.
Or
d
=
√
4
⋅
2
d
=
√
4
√
2
d
=
2
√
2
