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Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers

oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given : The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers $x, x+1, x+2$

So, according to given situation 'sum of three consecutive integers is 84'.

$x+x+1+x+2=84$

$\Rightarrow 3x+3=84$

$\Rightarrow 3x=84-3=81$

$\Rightarrow x=\frac{81}{3}$

$\Rightarrow x=27$

So, $x=27$

$x+1= 27+1=28$

$x+2=27+2=29$

Therefore, three consecutive numbers are 27,28,29

4 0

3 years ago

Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points

RoseWind [281]

Answer:

y = x/4 -1/2

Step-by-step explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

= 0 - -1 / 2 - -2

= 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

5 0

2 years ago

Read 2 more answers

What value of x makes the equation true ? 4(2x-4)=16

otez555 [7]

4(2x-4) = 16
4*2x - 4*4 = 16
8x - 16 = 16
8x = 16 + 16
8x = 32 / : 8
x = 4

7 0

3 years ago

Read 2 more answers

In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til

oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

$\binom{12}{8}=495$

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

$\binom{10}{6}= 210$

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = $\dfrac{210}{495}=0.4242$

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

$\binom{7}{3}= 35$

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = $\dfrac{35}{495}=0.0707$

6 0

3 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.