The minimum fine for driving in excess of the speed limit is $25. An additional $6 is added to the minimum fine for each mile per hour (mph) in excess of the speedlimit. Rachel was issued a $103 fine for speeding in a 55-mph speed limit zone. For driving at what speed, inmph, was Rachel fined?

Answers

Answer 1
Answer: Let the excess speed limit be y.

According to your question,

25 + 6y = 103

6y = 103 - 25 = 78

y = 78/6 = 13

Thus, the excess speed was 13 mph.

Thus, speed of Rachel = 55 + 13 = 68mph

Thus, Rachel was driving at 68 mph.

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The first quartile of a data set is 51, and the third quartile is 67. Which of these values in the data set is an outlier?A. 49
B. 83
C. 93
D. 29

Answers

Given:
Quartile 1 = 51
Quartile 3 = 67

Interquartile range = Q₃ - Q₁
IQR = 67 - 51
IQR = 16

Inner fence of the data set:
16 x 1.5 = 24

67 + 24 = 91
51 - 24 = 27

Boundaries of inner fence are 27 and 91

16 x 3 = 48

67 + 48 = 115
51 - 48 = 3

Boundaries for outer fence are 3 and 115

C. 93 is an outlier. It is a minor outlier based on the boundaries of the inner fence. 

Answer: 93

Step-by-step explanation: Apex said so

Whats bigger then 13.5>__

Answers

Step-by-step explanation:

_ because it is great mer than 13.5

because this symbol means > less than

A triangular bandana has an area of 78 square inches. The height of the triangle is 9 3
4
inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

An equation to find the length of the base of the triangle is 78=
The length of the base of the triangle is inches.

Answers

Area of a triangle = 1/2 × base × height

Plug in what we know.

78 = 1/2 × b × 9¾

Multilply each side by 2 to get rid of the 1/2...

156 = b × 9¾

Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)

156 = b × 39/4

Multiply each side by 4...

624 = b × 39

Divide each side by 39...

16 = b

Done! The length of the base of the triangle is 16 inches.

If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?

Answers

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

A regular quadrilateral has what type of symmetry?

Answers

Answer:

Line, point, and rotational symmetry.

Step-by-step explanation:

If a quadrilateral is regular then it must have equal angles and equal sides, which means that this shape is a square. It must have line, rotational, and point symmetry.

6.
Is the line of reflection x, y, or z?

Answers

Answer:

The line of reflection is y.

Step-by-step explanation:

If it was reflection by the x axis, it would of been in the same position, just flipped around.

If it was reflection by the z axis, the two shapes would of been much closer (or further, depends how you look at it) than it is in graph.

Therefore, it is reflected by the y axis. You can also tell since both shapes are equidistant from the y axis.

Hope this helps!