Ira bought a tennis racquet that cost $112. The sales tax rate is 9 percent. What is the total amount that she paid?

* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both

Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective $n^{th}$ terms as following:

Sequence A. $3n - 2$

Sequence B. $10 - 2n$

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the $n^{th}$ terms of the respective sequences as equal and let us verify that.

$3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}$

When we talk about $n^{th}$ terms, $n$ here is a whole number not a fractional number.

But as per the statement as stated by Sally $n$ is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0

3 years ago

The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the lengt

Nastasia [14]

Answer:

L = 25 m

Step-by-step explanation:

L = 4W - 3

perimeter = 2(L + W)

64 = 2(4W - 3 + W)

divide both sides by 2:

32 = 5W - 3

add 3 to each side:

5W = 35

divide both sides by 5:

W =7

L = 4(7) - 3 = 25

6 0

3 years ago

I will give u brainliest

Leto [7]

Answer:

52/99

Step-by-step explanation:

idk i looked it up

5 0

3 years ago

Read 2 more answers

Eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he

alexandr1967 [171]

Answer:

The answer for part A: If the city is hotter in temperature more people will want the cold refreshing lemonade.

Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y2-Y1/X2-X1, Y-intercept is the point that intercepts the Y-intercept.

Step-by-step explanation:

Part A: Because if it is hot outside you will sweat more being less hydrated which is why more people would want a drink especially lemonade.

8 0

3 years ago

Read 2 more answers

In a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 80 de

Furkat [3]

1st angle = 2 * 2nd angle
3rd angle = 2nd angle + 80

1st angle = 2x

2nd angle = x
3rd angle = 80 + x

2x + x + 80 + x = 180
4x = 100
x = 25

1st angle = 50
2nd angle = 25
3rd angle = 105

3 0

4 years ago