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Dvinal [7]
3 years ago
5

At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. The

re are 93 cans in row 1, 88 cans in row 2, 83 cans in row 3, and so on. One row contains 48 cans. Which row is this?
Row 7
Row 8
Row 9
Row 10
Mathematics
1 answer:
Elodia [21]3 years ago
3 0
In an arithmetic series, the value of the nth term is calculated using the equation,
                                  an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
                                     48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice. 
You might be interested in
What is the 93rd term of the arithmetic sequence -6, 13, 23 and how do I find it?​
e-lub [12.9K]

Answer:

Step-by-step explanation:

the formula for an arithmetic sequence is

a, a+d,a+3d,a+3d etc, where d is the common difference

we have the terms -6, 13,23

first term is -6

-6+19=13

however, 13+10=23

this is not an arithmetic sequence

7 0
3 years ago
A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0
2 years ago
Which function has a greater rate of change
kati45 [8]

Answer:

A has a rate of change of -5 and is greater than Bs -4.5

7 0
3 years ago
Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be
guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0
3 years ago
Joel is considering putting a $
olganol [36]

Answer: $53.84

Step-by-step explanation: 3500 divided buy 65

6 0
3 years ago
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