Mathematics, 19.09.2019 06:00 thexgar

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

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Answers

Answer from: Lesquirrel

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 from: Quest

12cm

the answer is d

Answer from: Quest

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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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....

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