After solving the equation according to the given statement it is clear that if she sends or receives more than 33 text messages then she has to pay more than $5.
Inequality is a declaration of the relation of larger, greater or equal to, smaller, and less than or equal to between two digits or mathematical expressions. Either queries or theorems can be used to express inequality problems, and both can be solved using similar methods to those used to solve the equation.
As per the information obtained from the question,
$0.15x>$5.00
x>33.3333
So if she sends or receives more than 33 text messages, she will be paying more than $5.00.
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The correct answers are:
7, 8 and 9.
Explanation:
We can check divisibility using the rules of divisibility. We will start with the largest single-digit number, 9. The rule for divisibility by 9 is that the sum of the digits is divisible by 9. The digits of 504 add to 5+0+4=9; since 9 is divisible by itself, 504 is divisible by 9.
504/9 = 56; this means we need two single digit numbers that are factors of 56. 56 = 7*8; this means 7 and 8 are our other two numbers.
The length of rectangle is 139 inches
Solution:
Given that, area of the rectangle is 3197 square inches
Let "L" be the length of rectangle and "W" be the width of rectangle
Also given that rectangle has the length of 22 inches less than 7 times the width
Length = 7 times width - 22
L = 7W - 22
The area of rectangle is given as:
Substituting the values we get,
On solving the above quadratic equation using quadratic formula,
Substituting in above quadratic formula,
Since width of rectangle cannot be negative, ignore negative value of "W"
So width W = 23 inches
Length L = 7W - 22 = 7(23) - 22 = 139 inches
Thus length of rectangle is 139 inches
Length of diagonal A'C' will be 2 units and it will remain the same even after multiple translations.
Length of a segment joining two points and is given by the expression,
Length between two points =
Therefore, length of diagonal AC joining points A(3, 4) and C(3, 2) will be,
AC =
= 2 units
If the polygon ABCD is shifted left, right, up and down, translations done will be the rigid transformations showing no change in shape and size of the polygon.
Therefore, length of diagonal A'C' will be 2 units and it will remain the same when the polygon is translated.
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Answer:
57
Step-by-step explanation:
Because side BD is similar to side BA
triangle BCD seems to be double the size of triangle BAD
By finding the side lengths of the missing sides BC and CD you can get the perimeter.
Because we know the triangle is double the size you can double the lengths of AD and BD to get 24 and 18, if you add 6,9,24, and 18. You will get 57.