Answer:
$20.00 dollars will be the new cost.
Step-by-step explanation:
Multiply $12.50 and 60% to get $7.50.
$7.50 plus $12.50 is $20.00.
Answer:
x = 8
Step-by-step explanation:
By first drawing a photo, pasted below, you can plot your points. Then use the formula:
a/c = b/d to plan out your equation
3x - 8/x = 16/x
Cross multiply so you then have:
16x = 3x^2 - 8x
24x = 3x^2
8 = x
To check:
3(8) - 8 = 16
24 - 8 = 16
16 = 16
9514 1404 393
Answer:
- 19 ≤ 19 . . . true
- 19 < 19 . . . false
- x = 9
Step-by-step explanation:
A) A number cannot be less than itself, but can be equal to itself.
In each case, the left side of the inequality evaluates to 19:
4(5) -1 = 20 -1 = 19
It is true that 19 is less than or equal to 19. This is true because 19 = 19.
It is not true that 19 is less than 19. A number cannot be less than itself.
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B) 5x +2 = 47
5x = 45 . . . . . . subtract 2 from both sides
x = 9 . . . . . . . . . divide both sides by 5
The element 9 from the set is the solution to the equation.
Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:

Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
ANSWER

EXPLANATION
We want to simplify

We multiply the first fraction by the reciprocal of the second fraction to obtain,

We cancel the common factors to get,

This gives us,