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Alina [70]
3 years ago
9

An equipment rental company charges a flat rate of $25,plusc$13 per day for insurance.kyle has $121.write an inequality to repre

sent the numbers of days,d,for which he can rent equipment
Mathematics
1 answer:
Sergio [31]3 years ago
3 0

13d+25≤121 represent the inequality to find the number of days.

Step-by-step explanation:

Flat rental fee of equipment = $25

No. of days = d

Per day fee = $13

Amount Kyle has = $121

According to given statement,

13d+25\leq 121

As the amount is $121, therefore, the total cost can either be a total of $121 or less.

13d+25≤121 represent the inequality to find the number of days.

Keywords: Linear inequalities

Learn more about linear inequalities about:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
chubhunter [2.5K]

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

⇒ a = 1

Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

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6 0
1 year ago
HELP PLEASE!!! URGENT!!!
Hatshy [7]
F(x) = 3x + 7.....g(x) = 4x - 2

A. (f + g)(x)
     3x + 7 + 4x - 2
     7x + 5 <====

B. (f * g)(x)
    (3x + 7)(4x - 2) =
     3x(4x - 2) + 7(4x - 2) =
    12x^2 - 6x + 28x - 14
    12x^2 + 22x - 14 <===

C. f[g(x)]
     3(4x - 2) + 7 =
     12x - 6 + 7 =
     12x + 1 <===
3 0
3 years ago
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
alisha [4.7K]
0.5(20x - 50y + 36) - 0.25(-100x + 40y - 12)
10x - 25y + 18 + 25x - 10y + 3
35x - 35y + 21
7 0
3 years ago
Indicate below whether the equation in the box is true or false 1/6 = to 6/12​
Vitek1552 [10]

Answer: 1/6 is not equal to 6/12 because 6/12 is 1/2 and 1/6 is less

Step-by-step explanation:

6 0
3 years ago
John left school with $8.43. He found a quarter on his way home and then stopped to buy an apple for $0.89. How much money did h
Marina86 [1]

Answer:

He had $7.79.

Step-by-step explanation:

8.43 + 0.25 = 8.68

8.68 - 0.89 = 7.79

5 0
3 years ago
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