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miv72 [106K]
3 years ago
7

Three times the sum of 5 and a number is a value between 12 and 21.

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

A.

Step-by-step explanation:

We are told that three that the sum of 5 and a number is between 12 and 21 which means:

12

Divide all sides by 3:

\frac{12}{3}

4

4

Subtract 5 on both sides:

4-5

Simplify:

-1

So the answer is A.

Slightly different route:

12

Distribute 3 to the terms in the ( ) next to it:

12

Subtract all sides by 15:

12-15

Simplify:

-3

Divide both sides by 3:

\frac{-3}{3}

Simplify:

-1

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A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block tha
djverab [1.8K]

Answer:

186.45 cm^3

Step-by-step explanation:

Given data

Side lenght of cube block= 8cm

Radius of cylindrical hole= 3.6cm

Volume of entire Shape= l^3

Volume of entire Shape= 8*8*8

Volume of entire block= 512cm^3

Volume of cylindrical hole= πr^2h

Volume of cylindrical hole= 3.14*3.6^2*8

Volume of cylindrical hole= 3.14*12.96*8

Volume of cylindrical hole= 325.55cm^3

Hence the volume of the block

=volume of entire shape- volume of cylinder

=512-325.55

=186.45 cm^3

7 0
2 years ago
What is 2 3/8 in a improper fraction?
FromTheMoon [43]

Answer:

See below a shorter way to convert 2 3 8 to an improper fraction. Step 1: Multiply the whole number part (2) by the denominator (8). Step 2: Add the product from Step 1 (16) to the numerator (3). Step 3: Write that result (19) above the denominator.

Step-by-step explanation:

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4 0
2 years ago
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Find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5
MrRissso [65]

Answer:

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Step-by-step explanation:

As we can see, the first term is 0

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Formula for nth term of an arithmetic sequence is;

a + (n-1)d

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0 + (n-1) 0.5

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Answer:

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Step-by-step explanation:

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