By using the concept of inequality, the solution for the correct inequality used between the given numbers is,
Used the concept of inequality, which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
Compare the numbers (- 3 + 7) and ( - 10 - 2).
Now, to compare the numbers we can solve each side,
(- 3 + 7) = - 3 + 7
= 7 - 3
= 4
(- 10 - 2) = - 10 - 2
= - 12
So, by the definition of positive and negative numbers, we get,
4 > - 12
As positive numbers are always greater than negative numbers.
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Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answer:
Option 1 - F = 9 over 5C + 32
Step-by-step explanation:
Given : The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
To find : Which of the following formulas correctly solves for F?
Solution :
We can write the equation as
Now, we solve for F,
Multiply both side by 9,
Open the brackets,
Divide both side by 5,
Solve,
So, The value of F is F=9 over 5C +32.
Therefore, Option 1 is correct.
x = _________
The status of his lunch account after today will be $11.90
What is mean by Addition?
The process of combining two or more numbers is called the Addition.
Given that;
Ben purchased lunch today at the school cafeteria for $2.75.
And, Before today, Ben owed $9.15 on his lunch account.
Now,
Since, Ben purchased lunch today at the school cafeteria for $2.75.
And, Before today, Ben owed $9.15 on his lunch account.
Hence, The total owed money for lunch = $2.75 + $9.15
= $11.90
Thus, The status of his lunch account after today will be $11.90.
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Answer:
-$11.90
Step-by-step explanation:
Add the two numbers and make it negative because it is owed money
Answer:
24 and 30
Step-by-step explanation:
The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:
x + y = 54
The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:
y - 6 = x
Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:
x + y = 54
y - 6 + y = 54
Combine like terms:
2y - 6 = 54
Now we can solve for y:
2y - 6 = 54
Add 6 to both sides of the equation to isolate the 2y:
2y = 60
Divide both sides by 2 to find the value of y:
y = 30
Now that we know the value of y, we can solve for x:
y - 6 = x
30 - 6 = x
24 = x
The value of the two numbers is 24 and 30.