Write a two- column proof. Given: 3x = x + 12 Prove: x =5

The ages of amit and archana are in ratio 4:5. If amit is 4 years 8 months old, find the age of archana

LekaFEV [45]

1 yr = 12 months...so 4 yrs = (12 x 4) = 48 months + 8 months = 56 months

4/5 = 56/x
cross multiply
4x = 280
x = 280/4
x = 70 months = 5 yrs and 10 months

5 0

3 years ago

Read 2 more answers

Please show your work.

chubhunter [2.5K]

Answer:

Add 136 to 138 and you get 261 as your Answer

Step-by-step explanation:

6 0

3 years ago

Jasper is twice as old as Simon now. Simon was 1/5 as old as Jasper in 12 years ago. How old is Jasper in 12 years's time?

3241004551 [841]

Answer:

44 years old

Step-by-step explanation:

Let the age of Jasper be j years old now.

Now:

Jasper➣ j

Simon ➣ j/2

12 years ago:

Jasper➣ j -12

Simon➣ j/2 -12

Given that Simon's age=⅕(Jasper's age),

j/2 -12= ⅕(j -12)

Multiply by 5 on both sides,

2.5j -60= j -12

2.5j -j= 60 -12

Simplify:

1.5j= 48

÷1.5 on both sides:

j= 48 ÷1.5

Simplify:

j= 32

12 years time:

Jasper➣ j +12

Thus, Jasper's age

= 32 +12

= 44

7 0

3 years ago

Read 2 more answers

Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po

vfiekz [6]

Answer:

b. 224

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.58$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

We want to find n, when $M = 0.5, \sigma = 2.9$ So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.5 = 2.58*\frac{2.9}{\sqrt{n}}$

$0.5\sqrt{n} = 7.482$

$\sqrt{n} = 14.964$

$(\sqrt{n})^{2} = (14.964)^{2}$

$n = 223.9$

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

6 0

3 years ago

Find the coordinates of the midpoint of line AB given the coordinates: A(-1, 5) B(2,-3)*

Naily [24]

Answer:

$\bold{M_{AB}\left(\frac12\,,\ 1\right)}$

Step-by-step explanation:

The midpoint of AB coordinates are: $M_{AB}\left(x_M\,,\ y_M\right)$ where:

$x_M=\frac{x_A+x_B}2=\frac{-1+2}2=\frac12\\\\y_M=\frac{y_A+y_B}2=\frac{5+(-3)}2=\frac{2}2=1$

6 0

4 years ago

Write a two- column proof. Given: 3x = x + 12 Prove: x =5​

Write a two- column proof. Given: 3x = x + 12 Prove: x =5