Answer:
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Step-by-step explanation:
DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.
Let us represent:
Cost of 1 rose bush = x
Cost of 1 geraniums = y
DeShawn spent $13 on 1 rose bush and 4 geraniums.
x + 4y = 13..... Equation 1
x = 13 - 4y
Mike spent $56 on 10 rose bushes and 3 geraniums.
10x + 3y = 56....... Equation 2
We substitute 13 - 4y for x in Equation 2
10(13 - 4y) + 3y = 56
130 - 40y + 3y = 56
Collect like terms
- 40y + 3y = 56 - 130
-37y = -74
y = -74/37
y = $2
Solving for x
x = 13 - 4y
x = _13 - 4 × $2
x = $13 - $8
x = $5
Therefore,
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
So we know if there are 5 groups/dozens of Monarch butterflies, there are 2 groups/dozens of Queen butterflies. In other words, there are 5 Monarch butterflies for every 2 Queen butterflies.
Then we can turn that into an equation.
From the last equation we wrote we can see that the total number of butterflies in the farm is
.
When we compare the Queen butterflies to total butterflies, we get
The ratio of Queen butterflies to total butterflies is 2:7.
Answer:
1
Step-by-step explanation:
cause if :
y=4
4(x)=4
4(1)=4
4=4
hope this helps
Answer:
2
Step-by-step explanation:
the one which is near to x
Answer:
$5x + $4y ≤ $120
let x = 10
y = 5
$70 ≤ 120
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater or equal to
≤ means less than or equal to
the total amount Shanley has is $120. She can spend less than this amount or the amount exactly. So, the inequality sign to be used is ≤
$5x + $4y ≤ $120
let x = 10
y = 5
(50) + 20 ≤ 120
$70 ≤ 120
