The inequality to represent the given phrase is 5x ≤ 45.
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given phrase is,
the product of a number and 5 is at least 45
So, x let be the number.
Thus, we have
product of a number and 5 = 5*x
⇒ product of a number and 5 = 5x
Now this is atleast 5, So get
5x ≤ 45
this is the required inequality.
Thus, the inequality to represent the given phrase is 5x ≤ 45.
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A line passing through points (5,−2) and (6, 4) has the greatest rate of change which is 6.
We have to determine, which function has the greatest rate of change.
The slope of the line is defined as a slope that is equal to m.
The slope of the line y = 3x - 4,
The slope of the line m is 3.
And The slope of the line -8x + 4y = 1,
Then, The slope of the line m = -(-8)/4 =8/4 =2.
And The slope of the line passes through points (2,6) and (3,10) is,
And The slope of the line passes through points (5,−2) and (6, 4) is,
Hence, The slope of the function is 6>4>3>2 and the greatest rate of change ) a line passing through points (5,−2) and (6, 4) is 6.
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28/12 in simplest form is = 7/3
Hope it helps!The number of vases that are filled is 10.
The number of flowers that are remaining is 3.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of flowers = 63
Number of flowers in each vase = 10
The number of vases that are filled.
= 63 ÷ 10
= 6.3
This means 6 vases and 3 remaining.
The flowers remaining are 3.
Thus,
The number of vases filled is 10.
The number of flowers remaining is 3.
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