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mrs_skeptik [129]
3 years ago
13

Patrick pays $10 per month for recycling. He expects the cost to increase 90¢ every 3 years. What is the slope that represents h

is cost change per year?
Mathematics
1 answer:
Leokris [45]3 years ago
3 0
If the cost increases $0.90 every three years , then the cost increases $0.30 per year. the slope will be 0.3/1 or just 0.3
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Marissa wrote her bike to the park and back up halfway to the park she stopped at the library she was one 310 miles from the lib
erastovalidia [21]

Answer:

5 1/5 miles

Step-by-step explanation:

Given that :

Library is located halfway between park and home ;

Distance between library and park = 1 3/10 miles

Hence, total distance between park and home :

1 3/10 + 1 3/10 = 2 6/10

The distance driven :

Home to park ; park back home

2 6/10 + 2 6/10 = 4 12/10

4 + 12/10 = 4 + 1 2/10

= 5 2/10

= 5 1/5 miles

3 0
2 years ago
A cable TV company charges $25
olga nikolaevna [1]

Answer:

D

Step-by-step explanation:

75=(4*25)=C

  • it means 25*3 which is the new price for the Fifth month should be equal to 75
  • <em><u>7</u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u>7</u></em><em><u>5</u></em><em><u>=</u></em><em><u>C</u></em>
5 0
3 years ago
A fruit seller purchased 20 kg of apples at Rs 80 per kg and sold them at Rs 85 per kg. find profit and profit percent​
viktelen [127]

Answer:

Profit = Rs 100

Profit %age = 6.25%

Step-by-step explanation:

Cost Price = Rs 80

Cost Price for 20 kg = Rs 1600

Selling Price = Rs 85

<u><em>Profit for 1 kg</em></u> = Rs 85 - Rs 80

=> Rs 5 (For 1 Kg)

<u><em>Profit for 20 kg:</em></u>

=> Rs 5*20

=> Rs 100

<u><em>Now Profit %age:</em></u>

=> \frac{100}{1600}* 100

=> 0.0625 * 100

=> 6.25%

7 0
3 years ago
Read 2 more answers
jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and ha
Blizzard [7]

Answer:

She had 22 friends at her graduation party.

Step-by-step explanation:

70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4

70-3x=4

Subtract 70 from both sides of the equation

-3x=4-70

Simplify

-3x=-66

Divide both sides of the equation by -3

-3x/-3=-66/-3

Simplify

x=22

8 0
3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
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