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Daniel [21]
3 years ago
12

The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

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Step-by-step explanation:

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3 years ago
2x+y=2 I am trying to solve that problem
posledela

Answer:

y= 2-2x

Step-by-step explanation:

Isolate y.

2x + y = 2 \\  y = 2 - 2x

4 0
3 years ago
A line passes through the point (4,8) and has a slope of 3/2. Write an equation in slope-intercept form this line.
Tcecarenko [31]

Answer:

3x-2y=-4 is the equation of the slope intercept line.

Step-by-step explanation:

The passing through point (4,8)=(x1,y1)

Slope(m)=3/2

the equation is

or (y-y1)=m(x-x1)

or (y-8)=3/2(x-4)

or 2y-16=3x-12

or 2y-3x=16-12

or 2y-3x=4

or -(3x+2y)=4

or 3x-2y=-4

This is the Final equation of that line..

6 0
3 years ago
Si consideras como base uno de los rectángulos de dimensiones de 5cm y 3cm ¿cuanto mide la altura de ese prisma?
Vinvika [58]

Respuesta:

h = V / 15

Explicación paso a paso:

El volumen de un prisma rectangular se calcula usando la relación:

Largo ancho alto

Donde, largo y ancho son la dimensión de la base

Por eso,

Volumen = Base * altura

Volumen = (5 cm * 3 cm) * altura

De la pregunta, no se da el volumen, por lo tanto, tomamos el volumen como V en otro para calcular la altura, h

V = 15h

Divide ambos lados entre 15

V / 15 = 15h / 15

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5 0
3 years ago
Find all angles and pls show steps ​
Ghella [55]

Answer:

Both angles have a measure of 134degrees, y = 27degrees.

Step-by-step explanation:

As per what is given in the problem:

There are 2 parallel lines, both are intersected by a transversal.

Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

The is meanse that:

3y + 53 = 7y - 55

Solve using inverse operations:

3y + 53 = 7y - 55

     +55         +55

3y + 108 = 7y

-3y            -3y

108 = 4y

/4      /4

27 = y

Now, substitute back in to find the value of the angle:

3y + 53

y = 27

3 ( 27 ) + 53

81 + 53

= 134

Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.

7 0
3 years ago
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