Complete question :
Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of shampoo. 70L+ 60S < 5600 represents the number of long-haired members L and short-haired members S who can wash their hair with less than 5600 liters of water. 0.02L + 0.01S < or equal to 2.5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.5 liters of shampoo. Does the bathroom have enough water and shampoo for 8 long-haired members and 7 short -haired members?
Answer:
Yes , there is enough water and shampoo
Step-by-step explanation:
Given that:
Number of long and short hair member who can wash their hair with less than 5600 litres of water.
70L+ 60S < 5600
Number of long and short hair member who can wash their hair with at most 2.5 litres of shampoo
0.02L + 0.01S ≤ 2.5
To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.
Water check:
70L+ 60S < 5600
L = 8 ; S = 7
70(8) + 60(7) < 5600
560 + 420 < 5600
980 < 5600
Inequality constraint is satisfied ; There is enough water.
Shampoo check:
0.02L + 0.01S ≤ 2.5
L = 8 ; S = 7
0.02(8) + 0.01(7) ≤ 2.5
0.16 + 0.07 ≤ 2.5
0.23 ≤ 2.5
Inequality constraint is satisfied ; There is enough shampoo
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
<u>For square base </u>
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
<u>For one of the triangular face</u>
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
<h3>Surface area = 85 ft²</h3>
Hope this helps you
Answer:
Step-by-step explanation:
The authors of both passages agree that King’s "I Have a Dream" speech: had a profound impact on many Americans (Option C).
<h3>What is a comprehension passage?</h3>
In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.
Now,
- Both the given passages use adjectives like 'magnificent' and 'famous' with respect to Martin Luther King's "I Have a Dream Speech".
- The first passage claims, "Many people can still remember the first time they heard I Have a Dream, and they tend to speak of that memory with the reverence reserved for a religious experience."
- While the second concurs with, "For most Americans, those words capture Kings unique genius. They express his immortal longing for freedom, a longing that is familiar to every person who dares imagine a future beyond unjust laws and unfair customs. The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."
- In this context, we can deduce that King's I Had A Dream Speech had a profound impact on Americans, i.e., option C is correct.
To learn more about comprehension passages, refer to the link:
brainly.com/question/24716030
#SPJ4
