Answer: x < 360
Step-by-step explanation:
Let x be the total cost for the trip.
And, Here the total number of person = 4
Therefore, the cost for each person = x/4
And, According to the question, The cost must below $90 per person.
Therefore, x/4 < 90
⇒ x < 360
Which is the required inequality for the situation.
Answer:
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>
Answer:
5/24
Step-by-step explanation:
The question in English is
A tank is filled with water daily to give water to the animals on a farm. As required, 3/8 of the water was taken from the tank to give to the horses and 1/3 of what was left in the tank was given to the pigs. The remainder of the tank was distributed in two equal amounts to give water to the birds and pets. What is the fraction of the water that pets receive to drink?
1) 3/8 of the water was taken from the tank to give to the horses
At this point in the tank there are 1-3/8=5/8 of the water of the tank
2) 1/3 of what was left in the tank was given to the pigs
At this point in the tank there are
(1-1/3)*5/8
(2/3)(5/8)=10/24 of the water of the tank
3) The remainder of the tank was distributed in two equal amounts to give water to the birds and pets
The remainder is equal to 10/24
divided by 2
(10/24)/2=10/48
4) The fraction of the water that pets receive to drink is 10/48
simplify
10/48=5/24
Answer:
The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes
Step-by-step explanation:
Given as :
The speed at which Macro swim = s = 45 meter per minute
The total distance cover by Macro = d = 200 meter
Let The time taken by Macro to cover 200 m = t minutes
<u>Now, From formula </u>
Distance = Speed × time
Or, d = s × t
Or, t = 
Or, t = 
Or, t = 4.44 minutes
So, The time taken by Macro to cover 200 m = t = 4.44 minutes
Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer