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monitta
3 years ago
6

Please show hw you got your answer, and please show which one is the correct one. (coupon A or coupon B).

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0
Coupon A: $18 rebate on a $59 printer
Coupon B: 35% off of a $59 printer

With coupon A, the final price is 59-18 = 41 dollars
With coupon B, the final price is 59-0.35*59 = 38.35 dollars

So coupon B offers the lower price. The price difference between the coupon options is $2.65 (41-38.35 = 2.65); meaning that coupon B is the better option by $2.65

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The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees
Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0
3 years ago
Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
z' = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}

Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
5 0
3 years ago
Question 20 points if correct
Vlada [557]

Answer:

B = 155° , C = 25° , D = 155°

Step-by-step explanation:

Given

A = 25°

C = A = 25° [ Vertically Opposite angles ]

Now

A + B = 180°( being linear pair)

25° + B = 180°

B = 180° - 25°

B = 155°

Also

D = B = 155°( vertically opposite angles )

5 0
3 years ago
Read 2 more answers
Which of these could be a monomial?
masya89 [10]
Mono means one..but monomial can also a negative. Mono meaning one means there is a single variable. 
6 0
3 years ago
Which shows all the values of x that make the rational expression undefined? x = 6 x = 7 x = –6 or x = 6 x = –7 or x = 7
n200080 [17]
<h2>Explanation:</h2>

The rational expression is given by:

E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\  E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)

The denominator can't be zero, therefore:

(x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}

Finally,<em> the values of x that make the rational expression undefined are </em>

<em></em>

<em>x = 7 and x = -7</em>

4 0
3 years ago
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