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2 years ago

Which is greater, 0.28 or 0.205? Explain how you know.

Mathematics

1 answer:

LuckyWell [14K]2 years ago

6 0

Answer:

Step-by-step explanation:

0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.

Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.

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8 0

2 years ago

Can someone help me find the midpoint?

ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

$(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Now we substitute

We have than (9, -1) is $(x_{1}, y_{1})$ and (3, - 4) is $(x_{2}, y_{2})$

So:

$(\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\$

So, we have:

$(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)$

I can do a graphic explanation if you want.

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2 years ago

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader

guajiro [1.7K]

Answer:

Sixth graders: 14

Seventh graders: 28

Eighth graders: 28

Step-by-step explanation:

To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:

70 students= 100%

sixth grades= 40%

Sixth grades= (40*70)/100

Sixth graders= 28

70 students= 100%

seventh grades= 20%

seventh graders= (20*70)/100

Seventh graders=14

So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:

28+14=42

70-42=28

SOwe have that the eighth graders are 28

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