To solve this problem, we need to substitute the given ratio a:b = 3:2 into the expression (5a+2b):(3a+4b).

Step 1: Substitute a = 3 and b = 2 into the expression (5a+2b):(3a+4b).
This gives us (5*3 + 2*2) : (3*3 + 4*2).

Step 2: Simplify the expression.
This gives us (15 + 4) : (9 + 8).

Step 3: Further simplify the expression.
This gives us 19 : 17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17. Therefore, the correct answer is 19:17.

Question

To solve this problem, we need to substitute the given ratio a:b = 3:2 into the expression (5a+2b):(3a+4b).

Step 1: Substitute a = 3 and b = 2 into the expression (5a+2b):(3a+4b).
This gives us (5*3 + 2*2) : (3*3 + 4*2).

Step 2: Simplify the expression.
This gives us (15 + 4) : (9 + 8).

Step 3: Further simplify the expression.
This gives us 19 : 17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17. Therefore, the correct answer is 19:17.

Knowee AI · Accepted Answer

To solve this problem, we need to substitute the given ratio a:b = 3:2 into the expression (5a+2b):(3a+4b).

Step 1: Substitute a = 3 and b = 2 into the expression (5a+2b):(3a+4b).
This gives us (5*3 + 2*2) : (3*3 + 4*2).

Step 2: Simplify the expression.
This gives us (15 + 4) : (9 + 8).

Step 3: Further simplify the expression.
This gives us 19 : 17.

So, if a:b = 3:2, then (5a+2b):(3a+4b) is equal to 19:17. Therefore, the correct answer is 19:17.

Select the correct answerIf 𝒂:𝒃=𝟑:𝟐, then (𝟓𝒂+𝟐𝒃):(𝟑𝒂+𝟒𝒃) is equal to?Options16:1519:1717:148:7