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3 years ago

A bolt has 16-1/2 turns per inch. How many bolts would be in 2-1/2 inches?

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

Answer:

b) 41¼

Step-by-step explanation:

16½ = 33/2

2½ = 5/2

(33/2) × (5/2)

165/4

41 ¼

ohaa [14]3 years ago

6 0

Answer:

41 1/4

Step-by-step explanation:

Change 16 1/2 to a mixed number

16 1/2 = (2*16+1)/2 = 33/2

Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2

Multiply the turns per inch by the inches

33/2 * 5/2 =165/4

Change this back to a mixed number

4 goes into 165 41 times

41*4 = 164 there is 1 left over

41 1/4

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2 years ago

How would I start to solve number 15? Would I use distributive property?

natita [175]

$-5-x=2x-(4x+6)$

Using the distributive property is the correct first step. $(4x+6)$ is being multiplied by -1, so distributing gives

$-5-x=2x+(-4x-6)$
$-5-x=2x+((-4x)+(-6))$

Now, using the associative property of addition, you get

$-5-x=(2x+(-4x))+(-6)$
$-5-x=(2x-4x)-6$

Simplify the right hand side:

$-5-x=-2x-6$

Add 5 and $2x$ to both sides.

$(2x+5)-5-x=(2x+5)-2x-6$

On the left side, use the associative property. On the right, commutativity and associativity:

$2x+(5-5)-x=5+(2x-2x)-6$

Simplify.

$2x-x=-1$
$x=-1$