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3 years ago

What three consecutive integers equal 81

2 answers:

3 0

81 / 3 = 27
so middle number = 27
the other 2 are 26 and 28

answer
<span>26, 27, 28 are three consecutive integers equal 81</span>

Marat540 [252]3 years ago

3 0

The consecutive integers: n, n+1, n+2

That sum to 81:

n+n+1+n+2=81 combine like terms on left side

3n+3=81 subtract 3 from both sides

3n=78 divide both sides by 3

n=26

So the three numbers are 26, 27, and 28.

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Norma-Jean [14]

Answer:

Step-by-step explanation:

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2 years ago

A man buys a certain number of Litchies at 20 per rupee and equal number at 30 per rupee. He

ANTONII [103]

Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

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2 years ago

What is an equation of the line that passes through the point

Keith_Richards [23]

Answer:

5x - 4y = 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 4y = 36 ( subtract 5x from both sides )

- 4y = - 5x + 36 ( divide all terms by - 4 )

y = $\frac{5}{4}$ x - 9 ← in slope- intercept form

with slope m = $\frac{5}{4}$

Parallel lines have equal slopes, thus

y = $\frac{5}{4}$ x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = $\frac{5}{4}$ x - 8 ← in slope- intercept form

Multiply through by 4

4y = 5x - 32 ( subtract 4y from both sides )

0 = 5x - 4y - 32 ( add 32 to both sides )

32 = 5x - 4y, that is

5x - 4y = 32 ← in standard form

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3 years ago

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2 years ago

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