X+(x+1)+(×+2)=336. the question is the sum of three consecutive integers is 336
1 answer:
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Answer:
Step-by-step explanation:
Given that,
A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall.
We need to find the volume of the rectangular prism. The formula for the volume of prism is given by :
So, the volume of the prism is equal to .
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.
Answer:
The number of computer must Mr. walker sale that week to earn at least $ 1250 is 13 .
Step-by-step explanation:
Given as :
The earning of Mr . walker = $ 600 per week + $ 50 for every computer he sell
Let The number of computer does he must sell to earn $ 1250 for the week = n computers
Now, According to question
$ 600 per week + $ 50 × number of computer he sale = total earning that week
Or, $ 600 per week + $ 50 × number of computer he sale = $ 1250
Or, $ 600 per week + $ 50 × n = $ 1250
or, $ 50 × n = $ 1250 - $ 600
Or, $ 50 × n = $ 650
∴ n =
I.e n = 13
So, number of computer must he sale to earn $ 1250 = n = 13
Hence The number of computer must Mr. walker sale that week to earn at least $ 1250 is 13 . Answer