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2 years ago

A snowmaking machine makes 3/4 inch of snow each minute. How many inches of snow can the machine make in 8 minutes?

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

3 0

Answer:

Step-by-step explanation:

8 minutes × (¾ inch)/minute = 8×¾ inches = 6 inches

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there are 45 new houses built. Last month 2/3 of them sold. This month, 1/5 of the remaining houses were sold. How many houses l

Nady [450]

Answer: 9

Step-by-step explanation: 45 times 2/3 is 30. So, 30 houses were sold last month. 30 times 1/5 is 6. So, 6 houses were sold this month. Add them together. 30+6=36. Subtract that from 45 and you will get 9. There are 9 houses left to be sold.

7 0

3 years ago

What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Liam bought snacks for his team's practice. He bought a bag of oranges for $2.13 and a 3-pack of juice bottles. The total cost b

Harlamova29_29 [7]

2.12+3x=9.45
each juice was about $2.44, so your answer was correct!

6 0

3 years ago

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

kotykmax [81]

Answer: Last one is right C = 5 / 9 (F-32)

Step-by-step explanation: Solving C from equation F = (9/5)C + 32 :

1. multiply by 5 you get 5F = 9C + 160 and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

8 0

2 years ago

Simplify 4ab - 6a^2b + 3ab^2 +3b - 6qb

Diano4ka-milaya [45]

3 0

3 years ago