If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
For this case we have the following equation:
If we multiply both sides of the equation by 3 we get:
---> Multiplication Property of Equality
Applying the distributive property we have:
---> Distributive Property
Adding 1 on both sides of equality we have:
---> Addition Property of Equality
Subtracting 
on both sides we have:
---> Subtraction Property of Equality
Finally, dividing by -4 on both sides we have:
---> Division Property of Equality
Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
1-rotational
2-rotational
3-rotational
4-neither
(I’m like 99% sure)
Answer:
infinite solutions
Step-by-step explanation:
Given
3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides
24m + 15 = 24m + 28 - 13 , that is
24m + 15 = 24m + 15
Since both sides are equal then any real value of x makes the equation true.
Thus there are an infinite number of solutions
