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mash [69]
3 years ago
10

Find the 76th term on the arithmetic sequence 4, 7, 10, 13

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

229

Step-by-step explanation:

1) the difference of the sequence is:

d=7-4=10-7=13-10=3.

2) the common view of the formula of the n term is:

a(n)=a(1)+d*(n-1), where n - required number of the term (it is 76), d- the calculated difference, a(1) - the 1st term of the given sequence.

3) according to the formula above it is possible to substitute n=76, d=3 and 4, then:

a(76)=4+3*(76-1)=4+225=229.

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Jackson runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $
mars1129 [50]

Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:

  • 25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
  • 26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
  • 27 x 1 + 12 x 2.25 = 27 + 27 = 54

Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Learn more about quantities in brainly.com/question/25823155

3 0
2 years ago
Please help me! Given (x+a)(x+b) = x^2+x-12, what is the value of a^2+b^2
Sonja [21]
(x + 4) (x - 3)
a = 4
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4 0
3 years ago
What is 2x+3+8x=3x+9x+7
Reika [66]

Answer:

x=-2

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to combine like terms

The equation after combining the x terms and the contants will look like this

10x+3=12x+7

Now you have to take 10x away from both sides

3=2x+7

Now bring all the constants to the left side

3-7=2x

Simplify

-4=2x

divide 2 on both sides to get x by itself

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So, the answer is x=-2

3 0
2 years ago
Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no
aliina [53]

9514 1404 393

Answer:

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Step-by-step explanation:

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  (2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

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Three solutions are shown:

  (x, y) = (2, 9), (3, 10), (4, 11)

4 0
2 years ago
A ruler costs pence.
Katarina [22]

Answer:

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Step-by-step explanation:

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