The present age of the mother is 30 years.
<u>Step-by-step explanation</u>:
Step 1 :
At present,
- Age of Jane = x
- Age of Billy = 5x
- Age of mother = 3(5x) = 15x
Step 3 :
After 2 years,
- Age of Jane = x+2
- Age of mother = 8 times as Jane = 8(x+2)
Step 3 :
Age of mother at present + 2 years = Age of mother after 2 years
⇒ 15x + 2 = 8(x+2)
⇒ 15x + 2 = 8x + 16
⇒ 7x = 14
⇒ x = 2
Step 4 :
Substitute x=2,
Age of mother at present = 15x = 30 years.
Answer:
m∠CAD = 49degrees
Step-by-step explanation:
For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;
m∠BAC = m∠ACD (alternate angles)
4x+5 = 5x - 4
4x-5x = -4-5
-x = -9
x = 9
Also
m∠BAC+m∠CAD = 90
4x+5+m∠CAD = 90
4(9)+5+m∠CAD = 90
36+5+m∠CAD = 90
41+m∠CAD = 90
m∠CAD = 90-41
m∠CAD = 49degrees
Answer:
Step-by-step explanation:
The first choice is correct
The rate is 20 per dog, thus we get the equation:
c= 20d
However the first dog is free, so the equation becomes
c = 20(d - 1)
And he also has a walking fee of 85 dollars and thus the equation becomes
c= 85 + 20(d-1)
Answer:
100
Step-by-step explanation:
let 's' = score on 6th test
[88(5) + s] ÷ 6 = 90
= 90
cross-multiply to get:
440 + s = 540
s = 100