0.30x represents the expense for the first soda type. 0.35(x+4) signifies the price for the second type of soda. Combine these amounts into an equation structured as:
Cost of Soda A + Cost of Soda B = Total Cost
0.30x + 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Combine the x's and subtract 1.40.65x = 1.95 --> By dividing by 0.65, we find
x = 3
Samir purchases 3 cans of soda priced at 30 cents each and 7 cans (3+4) at 35 cents each. The overall total for Samir's soda is 10 cans.
A deck contains 13 groups of 4 cards, indicating 13 unique ways to select four cards sharing the same face value. Any subsequent card drawn will necessarily represent a different face value. Consequently, the total combinations for selecting 5 cards—4 of which share the same face value and 1 diverging—amount to 13 x 48.
13 x 48 = 624.
The expression for calculating a percentage is whatever% of anything is simply (whatever/100) * anything.
The total 800 + 1250 + 120 + 625 + 65 equals 2860.
Rhonda does not earn a commission on the first 2000, only on the excess amount, which is 860.
Calculating 15% of 860 involves (15/100) * 860.
Let s denote the count of shirts and h the count of hats.
According to the provided information, the talent show organizers have a budget of $1800 to purchase merchandise clothing for sale at the event. The price for shirts is $10 each, while hats are priced at $8.
The expense for s shirts is given by 
, and the cost for h hats is described by 
. The combined cost for s shirts and h hats must not surpass 1800, which can be expressed as:
Additionally, they plan to acquire at least five times more shirts than hats. This implies that the quantity of shirts should be at least five times that of hats. This can be represented as:
Therefore, the second inequality should be making option C the correct answer.
