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Degger [83]
3 years ago
10

Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0
In doing this division, we will first divide the 8.6 by the 3.2 to get 2.6875.  Thankfully, that number is already in scientific notation so we don't have to worry about changing it.  Now for the rest of the problem.  When the bases are the same, and they are both 10's, you subtract the exponents.  10^{8-3}   gives us 10^5.  The answer then in scientific notation is 2.6875*10^5.
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Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
kari74 [83]

Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
3 years ago
Solve A = 1/2bh for h
Delicious77 [7]

Answer:

C i think

Step-by-step explanation:

divide both sides by b, then multiply both sides by 2 and get 2A/b =h

6 0
3 years ago
Simplest form of 36/104
konstantin123 [22]
9/26 is the correct answer
6 0
4 years ago
Read 2 more answers
How to convert 0.42decimal to a fraction?
Virty [35]
1) First read it out loud with out the dot/"and"

"Forty-two HUNDREDTHS"

2) Hundredths indicates it is in the 100th place value. Meaning this fraction is out of a 100. 

42/100

3) Simplify!

42         21
----  =    -------
100        50

4) Final Answer: 21/50
5 0
3 years ago
The diameter of moon is 2160 miles . a model has a scale of 1 in. : 150 mi. what is diameter of model?
IRISSAK [1]
2,160/150 = 14.4
The diameter is 14.4 inches.
7 0
4 years ago
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