Question

Ratio and Proportion: 4:10 : 5 : X

Answer 1

Correct Answers:

X = 12.5

Rationale :

💎 Step 1: Write the proportion — 4/10=5/X 💎 Step 2: Cross-multiply — 4X=50 💎 Step 3: Solve for X — X=50÷4=12.5 💎 Step 4: Verify — 4:10=0.4and 5:12.=0.4, so the ratio is equal. 💎 Step 5: Always check by dividing first pair; both sides must yield the same value.

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Answer 2

Correct Answers:

x = 1.2

Rationale :

🔷Write the proportion as 100/2 = 60/X.

🔷Compute the left ratio: 100 ÷ 2 = 50.

🔷Set 50 = 60/X, then cross-multiply to get 50X = 60.

🔷Solve for X: X = 60 ÷ 50 = 1.2.

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Answer 3

Correct Answers:

$5.16.

Rationale :

💎Find subtotal: 14.95 + 22.87 + 33.35 = 71.17.

💎Convert tax rate to decimal: 7.25% = 0.0725.

💎Compute tax: 71.17 × 0.0725 = 5.159825.

💎Round to the nearest cent: $5.16.

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Answer 4

Correct Answers:

2.4

Rationale :

👍Write the proportion as 240/X = 80/0.8.

👍Simplify the right ratio: 80 ÷ 0.8 = 100.

👍So 240/X = 100.

👍Solve for X: X = 240 ÷ 100 = 2.4.

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Answer 5

Correct Answers:

12:56 Α.Μ.

Rationale :

🔷Military time 0056 is 00 hours 56 minutes.

🔷00:MM corresponds to 12:MM in 12-hour time.

🔷Therefore, 00:56 → 12:56.

🔷The 00 hour block is after midnight, so it is A.M.

🔷Final conversion: 12:56 A.M.

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Answer 6

Correct Answers:

3/5

Rationale :

💠Convert to decimals (or compare via common denominators).

💠4/19 ≈ 0.2105.

💠3/5 = 0.6.

💠4/25 = 0.16; 3/15 = 1/5 = 0.2.

💠The largest value among these is 0.6 → 3/5.

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Answer 7

Correct Answers:

1132

Rationale :

🎗️For A.M. times (except 12 A.M.), the hour stays the same in 24-hour format.

🎗️11:32 A.M. → hour = 11, minutes = 32.

🎗️Remove the colon for military time formatting.

🎗️Combine hour and minutes: 11 + 32 → 1132.

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Answer 8

Correct Answers:

1/2

Rationale :

🎀Fractions already share a denominator (12), so subtract numerators.

🎀9/12 − 3/12 = (9 − 3)/12.

🎀This equals 6/12.

🎀Simplify 6/12 by dividing top and bottom by 6 → 1/2.

🎀Final simplified result is 1/2.

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Answer 9

Correct Answers:

8

Rationale :

💙Production is proportional to the number of chickens (time held constant at 24 hr).

💙2 chickens → 6 eggs in 24 hr.

💙To get 24 eggs (which is 4 times 6), scale chickens by the same factor (×4).

💙2 × 4 = 8 chickens.

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Answer 10

Correct Answers:

1/2

Rationale :

🎗️Convert to a common denominator (10 works).

🎗️9/10 stays 9/10; 2/5 = 4/10.

🎗️Subtract: 9/10 − 4/10 = 5/10.

🎗️Simplify 5/10 by dividing top and bottom by 5 → 1/2.

🎗️Final answer is 1/2.

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QLexNursing

1 :
Ratio and Proportion: 4:10 : 5 : X

2 :
Ratio and Proportion: 100: 2 :: 60: X

3 :
A shopper bought the following items: Shirt $14.95 Pants $22.87 Tie $33.35 How much tax will he have to pay if the tax rate is 7.25%?

4 :
Ratio and Proportion: 240: X :: 80: 0.8 (Enter numeric value only.)

5 :
Convert the military time 0056 to 12-hour time.

6 :
Which is the largest number?

7 :
Convert 11:32 A.M. to Military time. (Enter the numerical value only.)

8 :
Subtract: 9/12-3/12

9 :
A farmer is reviewing the production statistics for a chicken farm and finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will it take to produce 24 eggs in 24 hours? (Enter numeric value only.)

10 :
Subtract: 9/10 - 2/5 =

QLexNursing

1 : Ratio and Proportion: 4:10 : 5 : X

2 : Ratio and Proportion: 100: 2 :: 60: X

3 : A shopper bought the following items: Shirt $14.95 Pants $22.87 Tie $33.35 How much tax will he have to pay if the tax rate is 7.25%?

4 : Ratio and Proportion: 240: X :: 80: 0.8 (Enter numeric value only.)

5 : Convert the military time 0056 to 12-hour time.

6 : Which is the largest number?

7 : Convert 11:32 A.M. to Military time. (Enter the numerical value only.)

8 : Subtract: 9/12-3/12

9 : A farmer is reviewing the production statistics for a chicken farm and finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will it take to produce 24 eggs in 24 hours? (Enter numeric value only.)

10 : Subtract: 9/10 - 2/5 =

1 :
Ratio and Proportion: 4:10 : 5 : X

2 :
Ratio and Proportion: 100: 2 :: 60: X

3 :
A shopper bought the following items: Shirt $14.95 Pants $22.87 Tie $33.35 How much tax will he have to pay if the tax rate is 7.25%?

4 :
Ratio and Proportion: 240: X :: 80: 0.8 (Enter numeric value only.)

5 :
Convert the military time 0056 to 12-hour time.

6 :
Which is the largest number?

7 :
Convert 11:32 A.M. to Military time. (Enter the numerical value only.)

8 :
Subtract: 9/12-3/12

9 :
A farmer is reviewing the production statistics for a chicken farm and finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will it take to produce 24 eggs in 24 hours? (Enter numeric value only.)

10 :
Subtract: 9/10 - 2/5 =