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denis23 [38]
3 years ago
7

Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequal

ity x-12{is less or equal to}65 represents the situation. What will be included in the solution set in the context of the problem?
A: all positive and negative values less than 77
B: all positive and negative values less than or equal to 77
C: all positive values less than 77
D: all positive values less than or equal to 77
Mathematics
2 answers:
notka56 [123]3 years ago
5 0

Answer:

Correct option is:

D: all positive values less than or equal to 77

Step-by-step explanation:

Geraldo has a coupon for $12 off the total bill at a local restaurant.

Geraldo does not want to spend more than $65.

Let x be the amount that Geraldo spends

Clearly x>0

then, x-12≤65

Adding 12 on both sides, we get

x-12+12≤65+12

⇒  x≤77

Hence, Solution set contains {x|0<x≤77}

So, Correct option is:

D: all positive values less than or equal to 77

NISA [10]3 years ago
4 0
Your answer would be D.
Make this the brainliest answer if it helped!
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Answer: The answer is the first/top choice.

Step-by-step explanation: By definition, congruent is "Identical in form, <em>coinciding exactly when superimposed</em>". If you superimposed on onto the other, it would not match up, and therefore would not be congruent.

8 0
2 years ago
*PLEASE ANSWER* What is the area of minor sector AOB?
scoray [572]
<h3>Answer: Approximately 13 square units (choice B)</h3>

===========================================================

Explanation:

The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB

angle AOB = 360 - 215 = 145

angle AOB = 145 degrees

We'll use this later.

Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.

The area of the circle is

A = pi*r^2

A = pi*(sqrt(10))^2

A = 10pi

This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB

area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)

area of sector AOB = (145/360)*10pi

area of sector AOB = 145pi/36

area of sector AOB = 145*3.14/36

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3 0
3 years ago
What is 3x + 77 = 4x + 54
loris [4]

Answer:

Simplifying

3x + 77 = 4x + 54

Reorder the terms:

77 + 3x = 4x + 54

Reorder the terms:

77 + 3x = 54 + 4x

Solving

77 + 3x = 54 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

77 + 3x + -4x = 54 + 4x + -4x

Combine like terms: 3x + -4x = -1x

77 + -1x = 54 + 4x + -4x

Combine like terms: 4x + -4x = 0

77 + -1x = 54 + 0

77 + -1x = 54

Add '-77' to each side of the equation.

77 + -77 + -1x = 54 + -77

Combine like terms: 77 + -77 = 0

0 + -1x = 54 + -77

-1x = 54 + -77

Combine like terms: 54 + -77 = -23

-1x = -23

Divide each side by '-1'.

x = 23

Simplifying

x = 23

Step-by-step explanation:

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