in a basketball game tatiana made 23 baskets . each of the baskets was worth either 2 or 3 points and Tatiana scored a total of
53 points . let x represent the number of two point baskets she made and y represent the number of 3 point baskets she made
2 answers:
Answer:
<h2>n a basketball game tatiana made 23 baskets . each of the baskets was worth either 2 or 3 points and Tatiana scored a total of 53 points . let x represent the number of two point baskets she made and y represent the number of 3 point baskets she made</h2>Step-by-step explanation:
We know that Tatiana made 23 baskets in a game.
represents two-points baskets, and
represents three-points baskets.
If she scored 53 points, we would have the following relations
, which represents the total number of baskets.
, which represents the total number of points.
To solve this system, we multiply the first equation by -2, then sum and solve for
Then, we replace this value to find the other one
Therefore, Tatiana made 7 baskets of two points and 16 baskets of three points.
You might be interested in
Answer:
Frank can put 5 cubes in the box.
Step-by-step explanation:
Formula:
Mass = Volume × density.
1 cubic centimetre = 0.001 liter= 1 millilitre
Given that,
Frank purchase a new ice box having 2 kg capacity.
So,the mass of the cubes is 2 kg.
Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.
The volume of a cube is =
The volume of a each ice cubes is = cm³
= 42.875 ml
The ice cubes have a density of 0.914 g/ml
The mass of each cubes are
=volume of each ice cubes × density
=42.875 ml ×0.914 g/ml
=39.18775 gram.
Let x number of ice cubes he can put in the box.
The mass of x cubes is = 39.18775x grams.
2 kg= 2,000 gram [ since 1 kg= 1000 gram]
According to the problem,
39.18775x=2,000
Frank can put 5 cubes in the box.