Only 3 alligators can Set at the round table

Set A contains all integers from 50 to 100 inclusive, Set B contains all integers from 69 to 138 exclusive. How many integers ar

mario62 [17]

Answer: C. 31

Explanation:
Set A contains [50, 51, 52, … , 99, 100]. Set B contains [70, 71, 72, … , 136, 137]

Notice that Set B and Set A have an overlap from 70 to 100. So that is 31 elements in total. Hence the set A intersect B is [70, 71, 72, … , 99, 100] which is 31 elements.

Cheers.

8 0

2 years ago

Please need the answer ASAP for number 3!!!!

Radda [10]

Answer:

second and fourth option

Step-by-step explanation:

the <em>discriminant </em>of a quadratic equation is the easiest way to know how many solutions there will be

(discriminant: b²- 4ac)

{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }

so, we can quickly run b² - 4ac for each equation provided:

(note: ax² + bx + c is the formatting we use to find a, b, and c)

8² - 4(-9)(-8)

64 - 288 = -224

4² - (4)(1)(4)

16 - 16 = 0

-1² - (4)(-10)(-9)

-1 - 360 = -361

-6² - (4)(3)(3)

36 - 36 = 0

So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution

hope this helps!! have a lovely day :)

5 0

2 years ago

Describe and correct the errors.<br> |-10+4|=10+4=14<br><br> -3(2x+5)<br> =6x+5

Xelga [282]

$|-10+4|=|-6|=6$
-(3x+5)=-6x-15

3 0

3 years ago

Which set of side lengths shows similar triangles?

lbvjy [14]

The correct answer is D or the last choice. First, Pair up the values of both triangles in descending order then divide it. Having the equal answer will conclude that both triangles are similar.

A.(32/30) = (32/16) = (20/16)
1.067 = 2 = 1.25 = false
B. (110/8) = (80/6) = (60/5.5)
13.75 = 13.33 = 10.90 = false
C. (50/12.5) = (40/10) = (20/10)
4 = 4 = 2 = false
D. (60/30) = (30/15) = (30/15)
2 = 2 = 2 =True

8 0

3 years ago

Maham has a number of apples. She could share my apples equally among 3, 4, or 5 people. What is the smallest number of apples M

evablogger [386]

<h3>Answer: 60</h3>

The value 60 is the LCM of 3, 4 and 5.

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Explanation:

LCM = lowest common multiple

To find the LCM, we list out the prime factorization of each number

3 = 3*1
4 = 2*2
5 = 5*1

Ignoring the factors of 1, we have the unique primes of 2, 3, 5. There are 2 copies of '2', one copy of '3', and one copy of '5'. So we multiply this out to get 2*2*3*5 = 4*15 = 60

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If she had 60 apples, and wanted to give them to 3 friends, then each friend gets 60/3 = 20 apples

If instead, she had 4 friends, then each friend gets 60/4 = 15 apples.

Or if she had 5 friends, then each friend gets 60/5 = 12 apples.

For any of those three cases, there are no leftovers or remainders.

Any multiple of 60 will work (eg: 120 or 180), but 60 is the smallest such number that allows her to divide the apples this way without any leftovers.

8 0

3 years ago

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