Answer:
a) 2a + 3c = $44.50
a + 2c + $25.50
b) $19
Step-by-step explanation:
Simultaneous equations. A = adult. C = children
2a + 3c = $44.50 (EQUATION 1)
a + 2c = $25.50 (EQUATION 2)
Now solve this using the method of elimination:
2a + 3c = $44.50 (EQUATION 1)
a + 2c = $25.50 (EQUATION 2)
Multiply equation 2 by 2 so that both equations have the same a coefficient.
2a + 4c = $51 (NEW EQUATION 2)
Now subtract equation 1 from equation 2:
2a - 2a + 4c - 3c = $51 - $44.50 (2a cancels out)
c = $6.50
Now substitute c into one of the equation, in this case, I'm using original equation 2.
a + 2($6.50) = $25.50
a + $13 = $25.50
a = $12.50
Total cost of one adult and child = $6.50 + $12.50
= $19
Step-by-step explanation:
width is 6 units
P=2(l+w)
p=2(l+6)
l+6=p/2
l= (p/2)-6
Answer:
x=-5, 7 are the excluded values
Step-by-step explanation:
Excluded values are the values that makes the denominator 0
To find excluded values we set the denominator =0 and solve for x
Factor x^2 - 2x - 35
(x-7)(x+5) =0
We set each factor =0 and solve for x
x-7 =0 so x= 7
x+5 =0 so x= -5
x=7, x=-5 makes the denominator 0
So x=7 , x=-5 are the excluded values
Answer:
82%
Step-by-step explanation:
Total amount of laps =
18×50=900
so
738/900×100=82
Answer:
x = -5, 7
Step-by-step explanation:
Step 1: Write equation
x² - 2x - 35 = 0
Step 2: Solve for <em>x</em>
<u>Factor:</u> (x - 7)(x + 5) = 0
<u>Find roots:</u> x = -5, 7
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
(-5)² - 2(-5) - 35 = 0
25 + 10 - 35 = 0
35 - 35 = 0
0 = 0
7² - 2(7) - 35 = 0
49 - 14 - 35 = 0
35 - 35 = 0
0 = 0