All categories

2 years ago

If the mean (average) of five consecutive numbers is 21, the smallest of three five numbers will be...

1 answer:

7 0

Consecutive numbers are 1 apart
they are
x,x+1,x+2,x+3,x+4

average is 21
(x+x+1+x+2+x+3+x+4)/5=21
(5x+10)/5=21
times both sides by 5
5x+10=105
minus 10 both sides
5x=95
divide both sides by 5
x=19
x+1=20
x+2=21
x+3=22
x+4=23

the smallest number is 19

You might be interested in

Please answer all six

shepuryov [24]

What is A meant to be?

7 0

3 years ago

This is so confusing, pls help!!

liq [111]

Answer:

2 1/4 cubic units is the answer

3 0

2 years ago

The equation of the tangent to the curve x^2 = 4y at the point on the curve where x=-2 is?

aleksandrvk [35]

$x^2 = 4y \Rightarrow y= \frac{x^2}{4}$
$\frac{dy}{dx} = \frac{2x}{4} = \frac{x}{2}$

(x = -2) $\frac{dy}{dx} = \frac{x}{2} = \frac{-2}{2} = -1$
(x = -2) $y= \frac{x^2}{4}= \frac{(-2)^2}{4} = 1$

$y-y_1=m(x-x_1)$
$y-1 = -1(x--2)
$
$y-1 = -1(x+2)$
$y-1 = -x-2$
$y=-x-1 = -(x+1)$

7 0

3 years ago

Read 2 more answers

Bruce overdrew his checking account by $19, for which his bank charged him a $35 overdraft fee. If he deposits $60, what will hi

eimsori [14]

He overdrew his account by $19, so he is at $-19. His bank charges $35 fee. -19 - 35 = -54. He deposits $60, so 60 + (-54) = 6. He has $6 as his ending balance.

3 0

2 years ago

Read 2 more answers

What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)

GarryVolchara [31]

Answer:

The equation is y = (3/7)x - 7.

Step-by-step explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

$y = mx + b$

$let \: m = \frac{3}{7} ,x = 7,y = - 4$

$- 4 = \frac{3}{7} (7) + b$

$- 4 = 3 + b$

$- 4 - 3 = b$

$b = - 7$

7 0

3 years ago