Answer:
x=30⁰
Step-by-step explanation:
4x-55+3x+25=180
7x-30=180
7x=210
x=30⁰
Proof
3(30)+25=115
4(30)-55=65
115+65=180⁰
Answer:
Number of white marbles in the bag = 45
Step-by-step explanation:
Total number of marbles in the bag = 135
Ratio of white marble to transparent ones = 3 : 6
Let number of white marbles be
Then number of transparent marble will be
Total number of marbles will be
So we have.
Dividing both sides by 9.
∴
∴ Number of white marbles in the bag =
In a bag of 135 marbles with a white to transparent ratio of 3:6, there are 45 white marbles, as the ratio simplifies to 1:2. With 3 ratio parts total (2 transparent + 1 white), dividing the total marbles (135) by the total parts (3) gives 45 marbles per part, meaning there are 45 white marbles (1 part).
In mathematics, we can solve the problem by understanding the ratio given. A ratio of white to transparent marbles is given as 3:6. This simplifies to 1:2 meaning that for every 1 white marble, there are 2 transparent marbles.
With the total number of marbles being 135, we can divide this number by the total parts in the ratio to find the number per part. The sum of the ratio is 3 parts (1 part white + 2 parts transparent). So, we have 135 marbles ÷ 3 parts = 45 marbles per part.
Given that the ratio of white marbles is 1 part, the number of white marbles in the bag will be 1 part x 45 marbles/part = 45 white marbles.
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To find the number of aces the player has served, we can use the formula: Ace Average = Number of Aces / Number of Games Played. Given that the player has an ace average of 0.3 and has played in 70 games this season, the player has served 21 aces.
To find the number of aces the player has served, we can use the formula:
Ace Average = Number of Aces / Number of Games Played
Given that the player has an ace average of 0.3 and has played in 70 games this season, we can set up the following equation:
0.3 = Number of Aces / 70
Multiplying both sides by 70, we get:
21 = Number of Aces
Therefore, the player has served 21 aces this season.
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