Hello!
1.
You have to add all the numbers up in the venn diagram to get how many people participated
18 + 11 + 24 + 8 + 7 + 1 + 17 = 86
The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle
8 + 7 + 1 + 17 = 33
The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle
The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles
1 + 7 = 8
The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle
The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles
18 + 7 + 11 + 24 = 60
The answer is 60 people
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Hope this helps!
31 its easy just count the squares. Each half count to to equal one square.
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>
Given that,
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream
Therefore,
Upstream distance = 165 km
Upstream time = 3 hours
<h3><u>Find upstream speed:</u></h3>

Thus upstream speed is 55 km per hour
Downstream distance = 510 km
Downstream time = 6 hours
<h3><u>Find downstream speed:</u></h3>

Thus downstream speed is 85 km per hour
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>
Speed downstream = u + v km/hr
Speed upstream = u - v km/hr
Therefore,
u + v = 85 ----- eqn 1
u - v = 55 ----- eqn 2
Solve both
Add them
u + v + u - v = 85 + 55
2u = 140
u = 70
<em><u>Substitute u = 70 in eqn 1</u></em>
70 + v = 85
v = 85 - 70
v = 15
Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr
∗ l = 50.6 ft
∗ w = ?
∗ The length is 50.6 feet. The question is saying that 50.6 is 5.8 feet less than 6 times the width.
∗ 6w - 5.8 = 50.6
∗ 6w = 56.4
∗ w = 9.4
Now lets check.
∗ If the length is 5.8 feet less than 6 times the width, and we found 9.4 as the answer, then;
6 times 9.4 - 5.8 should equal 50.6
∗ 6 • 9.4 - 5.8 = l
∗ 56.4 - 5.8 = l
∗ 50.6 = l
⋆The width is 9.4 feet⋆
♡´・ᴗ・`♡вяαιиℓιєѕт ρℓєαѕє♡´・ᴗ・`♡
Hey there :)
( a - b )( a² + ab + b² )
Let us distribute ( a - b ) into the other
a ( a² ) + a ( ab ) + a ( b² ) - b ( a² ) - b ( ab ) - b ( b² )
a³ + a²b + ab² - a²b - ab² - b³
We can further simplify
a²b - ab² = 0
ab² - ab² = 0
a³ - b³You can see in the picture which I have attached. It is the 8th formula