Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
Answer:
£910
Step-by-step explanation:
let 3x and 7x be the initial amounts in their accounts, then after alterations
Terry has 3x + 220
Faye has 7x - 300
After these changes the amounts are equal, hence
7x - 300 = 3x + 220 ( subtract 3x from both sides )
4x - 300 = 220 ( add 300 to both sides )
4x = 520 ( divide both sides by 4 )
x = 130
Faye initially had 7 × £130 = £910 in her account
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
Answer: x²+8x+16
Step-by-step explanation:
(x+4)^2=(x+4)(x+4)
Now use distributive property to expand (x+4)(x+4):
(x+4)(x+4)=x²+4x+4x+4(4)
x²+4x+4x+4(4)=x²+8x+16
<span>We write the equation in the standard form which is:
ax^2 + bx + c = 0
(x + 15)(x) = 100
x^2 + 15x - 100 = 0
(x + 20) (x-5) = 0
The solutions are
x = -20 and x = 5
Therefore, the correct answer is option B. </span><span>The solution x = 5 should be kept, but x = –20 is unreasonable.</span><span>
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