Answer:
- Q1. 42 liters
- Q2. Php. 330
Step-by-step explanation:
Question 1
<u>Use ratios to solve:</u>
- 12/100 = x/350
- x = 12*350/100
- x = 42 liters
Question 2
- 1 basket → 5 1/2 kg ⇒ 2 baskets → 2(5 1/2) = 11 kg
- 1 kg → 30 ⇒ 11 kg → 11*30 = 330
Mutya earned Php. 330
Answer:
C) 
Step-by-step explanation:
Copy the original equation
Combine like terms
Simplify the b, then divide by 3
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Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
They both would need to get two toppings to cost the same amount which would be $8.60