Answer:
there are 5 strawberries
Step-by-step explanation:
4 x 5 =20 so that is 20 blue berries
and there are 4 blue berries for every one strawberry
and there are 5 groups of 4 blue berries which equals 5 strawberries
Answer: plan A lasts for 0.5 hour. Plan B lasts for 0.75 hour.
Step-by-step explanation:
Let x represent the duration of plan A.
Let y represent the duration of plan B.
On Friday there were 3 clients who did plan A and 2 who did Plan B.
Joe trained his Friday clients for a total of 3. It means that
3x + 2y = 3- - - - - - - - - -1
On Saturday there were 5 clients who did plan A and 6 who did plan B. Joe trained his Saturday clients for a total of 7 hours. It means that
5x + 6y = 7- - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 3, it becomes
15x + 10y = 15
15x + 18y = 21
Subtracting, it becomes
- 8y = - 6
y = - 6/-8
y = 0.75
Substituting y = 0.75 into equation 1, it becomes
3x + 2 × 0.75 = 3
3x + 1.5 = 3
3x = 3 - 1.5 = 1.5
x = 1.5/3
x = 0.5
<span> there are </span><span>333 positive integers less than 1000 that are not divisible by 5
</span>
Answer:
Second choice
Step-by-step explanation:
To find inverses, we follow the steps:
1. exchange variables x and y
2. solve for y in terms of x.
The resulting function is the inverse.
Take case 2 as an example:
f(x) = y = 2x-3
1. exchange x and y : x=2y-3
2. solve for y: x+3=2y => y=(x+3)/2 = g(x)
Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.