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alukav5142 [94]
3 years ago
12

Find the missing number in this proportion. 3/16 = 5/?

Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0
3/16=5/x
times both sides by 16x (aka cross multiply
3x=5*16
3x=80
divide both sides by 3
x=80/3
x=26 and 2/3
the missing number is 80/3 or 26 and 2/3
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without actually performing the long division state whether 17 / 3125 will have a terminating decimal expansion or a non-termina
baherus [9]

Answer:

It is terminating decimal expansion.

Step-by-step explanation:

17/3125 is a terminating decimal expansion.

REASON:

If the factors of the denominator are in the form of 2^n 5^m then the rational number is a terminating decimal expansion otherwise it is recurring. Here n and m are non negative integers.

Proof:

Lets have a look on the solution of the given term.

17/1325

We will break the denominator in the factors:

If we multiply 5 five times than it will give us 1325.

17/1325 = 17/5^5 * 2^0 = 17/2^0 * 5^5

We know that any number with exponent zero = 1

∴ 2^0 = 1

So it satisfies our explanation that the factors of the denominator are in the form of 2^n * 5^m and n and m are non negative integers.

Thus this term has a terminating decimal expansion....

3 0
3 years ago
Complete the steps to find the value of .<br> 72°<br> (7x + 24)
stellarik [79]

Answer: x ≈ 6.86°

Step-by-step explanation:

Firstly, set them equal to each other:

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Subtract 24 from both sides:

7x = 48°

Divide both sides by 7:

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This can be rounded to:

x ≈ 6.86°

8 0
3 years ago
Find the domain and range of x square - 6 X + 6​
mafiozo [28]

Answer:

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Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

7 0
3 years ago
Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an
adoni [48]

Answer: 1000 hot dogs and and 1600 sodas were sold.

Step-by-step explanation:

Let x be the number of hot dogs and y be the number of sodas.

Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.

Each soda sold for $2 and each hot dog sold for $3 .

Then, we have the following system of two linear equations:-

x+y=2600-----------(1)\\\\3x+2y=6200-----------(2)

Multiplying 2 on both sides of (1), we get

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Now, Eliminate equation (3) from equation (2), we get

x=1000

Put x=1000 in (1), we get

1000+y=2600\\\\\Rightarrow\ y=2600-1000=1600

Hence, 1000 hot dogs and and 1600 sodas were sold.

4 0
4 years ago
Examine the table below:
Vladimir79 [104]

Answer:

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Step-by-step explanation:

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