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4 years ago

Which pair of numbers is relatively prime?

Mathematics

2 answers:

Lelechka [254]4 years ago

5 0

Answer:

Step-by-step explanation:

Just took quiz

podryga [215]4 years ago

4 0

Relatively prime means having no factors in common.

I will start by checking if they have the factor "3" in common: it's easy to check: the sum of its digit needs to be divisible by 3:

a. 72 And 115

7+2=9
1+1+5=7

not true that both are divisible by 3
b. 120 And 835
1+2=3
8+3+5=16


not true that both are divisible by 3
but, they're both divisible by 5! (0 or 5 at the end)
not relatively prime

 c. 201 And 735

2+1=3
7+3+5=15

both are divisible by 3!

d. 303 And 1041

3+3=6
1+4+1=6

both divisible by 3

the answer is a)

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3 years ago

What is 6(2y+8)-2(3y-2)

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First, distribute.

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6 • 8 = 48

this would equal

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4 years ago

Read 2 more answers

A new ice skating rink will be approximately rectangular in shape and will have an area of 19,720 square feet. Using an equation

alekssr [168]

Answer:

The dimension is: 232ft by 85ft

Step-by-step explanation:

Given

Shape: Rectangle

$A = 19720$ --- Area

$P = 634$ --- Perimeter

Required

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Area is calculated as:

$A = L * W$

This gives

$19720 = L * W$

Perimeter is calculated as:

$P = 2(L + W)$

This gives

$634 = 2(L + W)$

Divide both sides by 2

$317 = L + W$

Make L the subject

$L = 317 -W$

Substitute 317 - W for L in $19720 = L * W$

$19720 = (317 - W)*W$

Open brackets

$19720 = 317W - W^2$

Rewrite as:

$W^2 - 317W + 19720 = 0$

Expand

$W^2 -232W - 85W + 19720 = 0$

Factorize:

$W(W -232) - 85(W - 232)= 0$

$(W - 85) (W - 232)= 0$

Split

$W = 85\ or\ W = 232$

Recall that:

$L = 317 -W$

$L= 317 - 85\ or\ L = 317 - 232$

$L= 232\ or\ L = 85$

Hence, the dimension is: 232ft by 85ft

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3 years ago

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4 years ago

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