What is required to name a plane
1 answer:
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Answer: Both answers will be
Step-by-step explanation:
Since we have given that
Cost of soccer balls = $15
Cost of baseball = $6
Cost of sweat socks = $5
a) Mr. Tonkery bought x number of soccer balls and 3 base balls .
So, our algebraic expression will be
b) Dennis, Eddie and Felix are on a base ball team. They each bought a baseball and x pair of sweat socks .
Since there are 3 members in a base ball team ,
Number of base ball they will purchase is given by
Number of sweat socks they will bought is given by
Total number they will purchase is given by
Hence, both answers will be
Answer:
The rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8
Step-by-step explanation:
The given parameters are;
A 2 by 3 rectangle contains 8 squares
A 3 by 4 rectangle contains 20 squares
A 4 by 6 rectangle contains 50 squares
We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;
2 by 3 rectangle contains 8 squares
3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4
4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5
The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);
Column, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Row
1
2
3
4
5
6
7
8
9
10
11
It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2
From the matrix, the rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.
X = 6, y = 8, z = 3
3(8) + (6)² = 24 + 36 = 60
= 20
3(8) + (6)² = 24 + 36 = 60