All categories

3 years ago

Mia is three years older than twice her sister Brooke's age. The sum of their ages is less than 30.

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

The greatest age Brooke could be is 7

You might be interested in

What is the perimeter of a 30 2/3 yd. by 25 1/2 yd. field?

netineya [11]

(30 2/3 *2)+(25 1/2*2)= 61 1/3+ 51=112 1/3 yards. The answer is b

3 0

3 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form.

kaheart [24]

Answer:

y = $\frac{3}{2}$ x + 8

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 )

rearrange 2x + 3y = 9 into this form

subtract 2x from both sides

3y = - 2x + 9 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x + 3 ← in slope-intercept form

with slope m = - $\frac{2}{3}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2/3}$ = $\frac{3}{2}$ , hence

y = $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (- 2, 5) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = $\frac{3}{2}$ x + 8 ← equation of perpendicular line

5 0

3 years ago

What is 5 + 2 x 3 squared

slava [35]

The answer is 121 because 2x3 you do first which is 6 then 6+5 is 11 and 11x11 is 121 which is your answer

5 0

3 years ago

Read 2 more answers

Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\

Nezavi [6.7K]

$\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0$

$\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}$
$=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}$
$=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1$

3 0

4 years ago

Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the bet

natima [27]

If we take 4/5=80 cent each and when we take 9/25=36 cents a piece so the store is a better deal

3 0

3 years ago