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3 years ago

What are 3 consecutive integers that have a sum of 234

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

$n+n+1+n+2=234\\
3n+3=234\\
3n=231\\
n=77\\
n+1=78\\
n+2=79$

77,78,79

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While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers

koban [17]

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

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2 years ago

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. At the end

navik [9.2K]

Answer: $4900 at 8%

$6000 at 11%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 8% interest.

Let y represent the amount which he invested in the account paying 11% interest.

Jose invests $10900 in two different accounts. The first account paid 8 %, the second account paid 11 % in interest. This means that

x + y = 10900

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 8% interest,

P = $x

T = 1 year

R = 8℅

I = (x × 12 × 1)/100 = 0.08x

Considering the account paying 11% interest,

P = $y

T = 1 year

R = 11℅

I = (y × 6 × 1)/100 = 0.11y

At the end of the first year he had earned $1052 in interest., it means that

0.08x + 0.11y = 1052 - - - - - - - - - -1

Substituting x = 10900 - y into equation 1, it becomes

0.08(10900 - y) + 0.11y = 1052

872 - 0.08y + 0.11y = 1052

- 0.08y + 0.11y = 1052 - 872

0.03y = 180

y = 180/0.03

y = 6000

x = 10900 - y = 10900 - 6000

x = 4900

3 0

2 years ago

What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)

kotegsom [21]

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

$l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}$

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

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2 years ago

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SpyIntel [72]

Answer:

x=75

Step-by-step explanation:

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2 years ago

Read 2 more answers

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Akimi4 [234]

Answer:

Step-by-step explanation:

If you have choices, you really should list them.

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2 years ago