The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8
Answer:
Step-by-step explanation:
c+a=20
a=20-c
5.25c+7.75a=140, using a from above makes this
5.25c+7.75(20-c)=140
5.25c+155-7.75c=140
-2.5c+155=140
-2.5c=-15
c=6
a=20-c=20-6=14
So she bought 14 adult and 6 children tickets.
Answer:
6 and 1
Step-by-step explanation:
Let x - 6 = 0 and x - 1 = 0
x = 6 and x = 1
24w+6c=$23.40
5w+2c=$6.60
So you have to find c (chips) first. You have to make the number of chips in both equations cancel each other.
-3(5w+2c)=-3($6.60)
-15w-6c=$-19.80
Then subtract to get one formula
24w + 6c = $23.40
-15w - 6c = $-19.80
9w = $3.60
w=$.40
To check your answer, find how much one bag of chips costs:
5($.40) + 2c = $6.60
$2.00 + 2c = $6.60
2c = $4.60
c=$2.30
Plug your value for one water and one bag of chips into the formula:
5($.40) + 2($2.30)
$2.00 + $4.60
=$6.60
Then plug your values into the original problem:
24($.40) + 6($2.30)
$9.60 + $13.80
=$23.40
