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Marizza181 [45]
3 years ago
8

Ms.Drevis's garden has lots of apple trees.120 apples fall on ground in 30 seconds.How many apples fall in one second?

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

4 apples fall in one second

Step-by-step explanation:

120/30 = 4

120 = the amount of apples

30 = the time in seconds

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
An electronics store reduced the price of a TV from $1200 to $1056. What was the percent of decrease?
melomori [17]
That would be a 12% decrease :)

6 0
3 years ago
A person tosses a coin 9 times. In how many ways can he get 3 heads?
Anna71 [15]

Answer: if he/she tosses the coin 9 times i am pretty sure he/she out of 5/9 he/she will get heads

Step-by-step explanation:

1 if he flips the coin 9 times and it spins and it flips i am pretty sure a couple times he/she will get tails or heads 2 but there is a way for him/her to get heads it flips and spins he/she is most likey to get heads 3 if he/she flips the coin and the coin keeps going the coin will flip and he/she will get heads hope this helps you :)

4 0
3 years ago
Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtim
abruzzese [7]

Answer:

  h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

  pay = 40r +(h -40)(1.5r) . . . . 40 hours at rate r + overtime (h-40) hours at 1.5r

  pay = 40r +1.5hr -60r . . . . . eliminate parentheses

  pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

  pay +20r = 1.5hr . . . . . . . . . . add 20r

  h = (pay +20r)/(1.5r) . . . . . . . . divide by 1.5r

For the given pay of 800 +240 = 1040, we have ...

  h = (1040 +20r)/(1.5r)

  h = 13.333 +693.333/r . . . . . simplify to 2 terms

_____

<em>Additional comments</em>

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.

6 0
3 years ago
The graph of a proportional relationship is a straight line passing through the?​
Aneli [31]
Through the origin (0,0)
7 0
3 years ago
Read 2 more answers
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