Question

1. Which ratios form a proportion? a. 4/9, 12 / 25 b. 3 / 7, 18 / 42 c. 5/11, 20/45 d. 5/8, 15/25. 2. Which ratio forms a proportion with 18 over 30? a. 20 / 35 b. 50 / 90 c. 36 / 48 d. 60 / 100. 3. Which proportion has cross products of 5 × 24 and 8 × 15? a. 5/8=15/24 b. 5/24=8/15 c 8/24=15/5 d 15/8=5/24

Answer 1

Answer:

Part 1) $3/7,18/42$

Part 2)  $60/100$

Part 3) $5/8=15/24$

Step-by-step explanation:

we know that

If two ratios form a proportion, then the two ratios in simplest form are equal

Part 1

Which ratios form a proportion?

case A) $4/9,12/25$

equate the ratios

$4/9=12/25\\4*25=12*9$

$100\neq 108$ ------> is not true

therefore

the ratios case A does not form a proportion

case B) $3/7,18/42$

equate the ratios

$3/7=18/42\\3*42=7*18$

$126=126$ ------> is true

therefore

the ratios case B  form a proportion

case C) $5/11,20/45$

equate the ratios

$5/11=20/45\\5*45=20*11$

$225\neq220$ ------> is not true

therefore

the ratios case C does not form a proportion

case D) $5/8,15/25$

equate the ratios

$5/8=15/25\\5*25=15*8$

$125\neq120$ ------> is not true

therefore

the ratios case D does not form a proportion

Part 2

Which ratio forms a proportion with 18 over 30?

case A) $20/35$

equate the ratio to  $18/30$

$20/35=18/30\\20*30=35*18$

$600\neq 630$ ------> is not true

therefore

the ratio case A does not form a proportion with $18/30$

case B) $50/90$

equate the ratio to  $18/30$

$50/90=18/30\\50*30=90*18$

$1,500\neq 1,620$ ------> is not true

therefore

the ratio case B does not form a proportion with $18/30$

case C) $36/48$

equate the ratio to  $18/30$

$36/48=18/30\\36*30=48*18$

$1,080\neq 864$ ------> is not true

therefore

the ratio case C does not form a proportion with $18/30$

case D) $60/100$

equate the ratio to  $18/30$

$60/100=18/30\\60*30=100*18$

$1,800=1,800$ ------> is true

therefore

the ratio case D  form a proportion with $18/30$

Part 3

Which proportion has cross products of 5 × 24 and 8 × 15?

case A) $5/8=15/24$

the cross product is equal to

$5*24=8*15$

therefore

the proportion case A is a solution

case B) $5/24=8/15$

the cross product is equal to

$5*15=24*8$

therefore

the proportion case B is not a solution

case C) $8/24=15/5$

the cross product is equal to

$8*5=24*15$

therefore

the proportion case C is not a solution

case D) $15/8=5/24$

the cross product is equal to

$15*24=8*5$

therefore

the proportion case D is not a solution

Answer 2

I am pretty sure that the right answer for the first question which is being asked is the second option - b. 3 / 7, 18 / 42
What about the next one, I bet it's  d. 60 / 100. 3
And the last one is  a. 5/8=15/24