The present age of Jane is 45 years old and present age of her sister is 9 years old
<em><u>Solution:</u></em>
Let the present age of Jane be "x"
Let the present age of her sister be "y"
<em><u>Jane is 5 times older than her sister</u></em>
present age of Jane = 5(present age of her sister)
x = 5y ---------- eqn 1
<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>
Age of sister after 3 years = 3 + y
Age of jane after 3 years = 3 + x
Age of sister after 3 years = 1/4(age of jane after 3 years)
Substitute eqn 1 in above equation
Substitute y = 9 in eqn 1
x = 5(9)
x = 45
Thus present age of Jane is 45 years old and present age of her sister is 9 years old
Answer:
b. x = 11/8, x = 59/72.
Step-by-step explanation:
4|8x - 6| = 5|-8x + 7|
square both sides:
16(64x^2 - 96x + 36) = 25( 64x^2 - 112x + 49)
1600x^2 - 1024x^2 - 2800x + 1536x + 1225 - 576 = 0
576x^2 - 1264x + 649 = 0
x = [1264 +/- √(1264^2 - 4 * 576* 649)] / (2*576)
x = 11/8, x = 59/72.
Answer:
(0,3)
Step-by-step explanation:
y = 3x^2 +3
This is in the form
y = a(x-h)^2 +k
Where the vertex is (h,k)
y = 3(x-0)^2 +3
The vertex is (0,3)
Convert "3/4 ton" into pounds. Use the identity 2000 lb = 1 ton.
2000 lb 1500 lb
Then [(3/4) ton] * ---------------- = ----------------
1 ton 1
Now divide 1500 lb by 4 lb 14 oz. Note that 4 lb 14 oz = 4 14/16 lb, or
4 7/8 lb, or 4.875 lb.
Then, divide 1500 lb by
4.875 lb
------------ to determine the number of bricks the truck can safely carry.
1 brick
This comes out to 1500/4.875 bricks, or approx. 307 bricks.
Answer:
b. 1.15
Step-by-step explanation:
The z statistics is given by:
In which X is the found proportion, p is the expected proportion, and s, which is the standard error is 
Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.
This means that 
She find that the proportion of satisfied teachers nationally is 18.4%.
This means that 
Standard error:
p = 0.184, n = 53.
So
Z-statistic:
The correct answer is:
b. 1.15
