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Artist 52 [7]
3 years ago
7

A restaurant charges Justin 0.15 for every drink refill that he orders. The cost of Justin’s dinner is 14$ find the number of dr

ink refills he orders if the bill came to be $14.60.
Mathematics
2 answers:
Anestetic [448]3 years ago
4 0
He had 4 refills in his drinks drink
Wittaler [7]3 years ago
3 0

Answer:

he had 4 refills 14.60-14 is 14 and .60/.15 is 4 so the answer is 4

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A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?​
creativ13 [48]

Answer:

(a) a_n=1+\frac{1}{6}(n-1)

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}

Here, a_1=1,a_7=2

So,

a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}

Therefore, the explicit definition of the above sequence is given as:

a_n=1+\frac{1}{6}(n-1)

Where, a_n is the miles covered on n^{th} day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi

Therefore, the number of miles covered by her on day 19 is 4 miles.

3 0
3 years ago
Look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that h
KATRIN_1 [288]
The answer to this is 0
8 0
3 years ago
The last answer is D. 15 meters
Lapatulllka [165]
5^2 +12^2= diagonal^2
25+144=d^2
169= d^2
D= 13
4 0
3 years ago
Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
16/25+8/5+4+10…+a10<br> what’s the sum of the series
sweet-ann [11.9K]

Answer:

correct answer is 406/25+a10

Step-by-step explanation:

6 0
2 years ago
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