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3 years ago

Jane is 3 years older than mary, and mary is twice as old as kay. if kay is x years old, how old is jane?

Mathematics

2 answers:

lapo4ka [179]3 years ago

7 0

Answer:

2x +3 years old is Jane

Step-by-step explanation:

As per the statement:

If Kay is x years old.

Mary is twice as old as Kay.

then;

Mary = 2x years old

It is also given that Jane is 3 years older than mary

⇒ Jane = 2x + 3

Therefore, 2x +3 years old is Jane

krek1111 [17]3 years ago

6 0

The answer is y = 2x + 3.

x - Kay's age
y - Jane's age
m - Mary's age

Jane is 3 years older than Mary: y = m + 3
Mary is twice as old as Kay: m = 2x

y = m + 3
m = 2x

Substitute m in the first equation:
y = 2x + 3

Read more about expressions at:

brainly.com/question/723406

#SPJ4

6 0

2 years ago

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)

wlad13 [49]

Answer:

The values are:

$a = -5/2$

$b = -6$

$c = -7$

Step-by-step explanation:

Given:

P = (x₁, y₁, z₁) = (1, 2, b)

Q = (x₂, y₂, z₂) = (c, -7, 4)

m = R = (x, y, z) = (-3, a, -1)

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so

m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

$m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)$

$\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)$

as (x, y, z) = (-3, a, -1), so

$\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)$

Determining 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

$1+c = -6$

$c = -6 - 1$

$c = -7$

Determining 'a'

a = (2+(-7)) / 2

$2a = 2-7$

$2a = -5$

$a = -5/2$

Determining 'b'

-1 = (b+4) / 2

$-2 = b+4$

$b = -2-4$

$b = -6$

Therefore, the values are:

$a = -5/2$

$b = -6$

$c = -7$

6 0

3 years ago

Question is attached below.

Citrus2011 [14]

The first table shows a proportional relationship.

5 0

3 years ago

Read 2 more answers

If x is a binomial random variable with n = 20, and p = 0.30, then p(x = 10) = 0.50.

meriva

In the binomial expansion of (0.30+0.70)²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰×0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p(x=10)=0.50 is false, answer b.

7 0

3 years ago

The distance from earth to the moon is about 22^4 miles.The distance from earth to neptune is about 22^7 miles.Which distance is

fiasKO [112]

You are NOT using scientific notation correctly. When you say 22^4 you are saying 22*22*22*22 which equals 234,256. What you should say is Earth to Moon distance = 22 * 10^4 miles. (To be really precise, it should be expressed as 2.2 * 10^5 miles).

Earth to Neptune distance = 2.2 * 10^8 miles.

2.2 * 10^8 / 2.2 * 10^5 = 1,000. So the Earth to Neptune distance is 1,000 times greater than the Earth to Moon distance.

6 0

3 years ago