Answer:
4.5 > 4.420
0.67 < 0.8
0.82 = 0.820
62.4 > 6.24
0.13, 0.3, 0.303, 0.32
0.08, 0.8, 0.82, 8.2
24.54, 24.4, 24.304, 24.24
6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
The most useful way to compare fractions is to add extra zeros at the end.
For example, 0.67 ___ 0.80.
0.80 is obviously bigger than 0.67.
In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.
24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).
**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**
Answer:
Return trip travel time: 7h
Step-by-step explanation:
Let d be the distance.
Index 1 refers to initial trip, index 2 refers to the return trip.
v1=70mi/h
v2=40mi/h
t2=t1+3h, or t1=t2-3h (travel times)
d=v1×t1=v2×t2
v1×(t2-3)=v2×t2
v1 t2 -3 v1=v2 t2
v1 t2 - v2 t2=3 v1
t2(v1-v2)=3v1
t2=3v1/(v1-v2)
Or
t2=3×70/(70-40)=3×70/30=7h
Thomas would take 10 minutes
henry would take 2.5 minutes
<h3>
Answer: 120 square cm</h3>
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Work Shown:
Let,
- A = area of unshaded rectangle (the 6 by 10 rectangle)
- B = area of the unshaded triangle (that has the "8 cm" inside it)
- C = area of parallelogram
- D = shaded area = C - (A+B) = C - A - B
We can see that A = 60 since the rectangle has base 10 and height 6, so 10*6 = 60.
The upper horizontal part of the parallelogram is 10+8 = 18 cm long. This means the bottom horizontal part of the parallelogram is the same length. The bottom portion shows 9 cm until we reach the triangle. This means that 18-9 = 9 cm is the base of the unshaded triangle (that has the "8 cm" inside it).
That triangle has area of 0.5*base*height = 0.5*9*8 = 36 square cm. So B = 36
The parallelogram has base 18 cm and height 12 cm, so it has area of 18*12 = 216. This means C = 216
We can then finally compute the value of D
D = C - A - B
D = 216 - 60 - 36
D = 120 square cm
Answer:
slope-2/3
Step-by-step explanation:
slope formula (y2-y1)/(x2-x1)
plug in the coordinates
(11-5)/(6--3)
two negatives equal a positive
(11-5)/(6+3)
add or subtract the numbers
6/9
simplify
2/3
