MATHEMATICS HIGH SCHOOL

If a number is divisible by both 2 and 3 then we can say the number is divisible by A. 5. B. 2. C. 4. D. 6.

Answers

Answer 1
Answer: i believe it is d 6. you can divide 6 by both 3 and 2.
Answer 2
Answer: D. 6 because if one number is divisible by another number's factors, then the first number is divisible by the second number. for example, take the numbers 18 and 6.  the factors of 6 are 2 and 3. 18 is divisible by both 2 and 3, therefore it has to be divisible by 6.

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Express the set in roster form.{x|x is an integer greater than -6}

Answers

\{x|x\in\mathbb{Z}\ \wedge\ x > -6\}=\{-5;-4;-3;-2;-1;\ 0;\ 1;\ 2;\ 3;\ 4;\ 5;..\}

A blood bank needs 5 people to help with a blood drive. 18 people have volunteered. Find how many different groups of 5 can be formed from the 18 volunteers.

Answers

Hence, the different groups of 5 can be formed from the 18volunteers is

^(18)C_5=205632.

What is the permutation and combination?

Permutation and Combination form the principles of counting and they are applied in various situations.

A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.

Here given that,

A blood bank needs 5 people to help with a blood drive. 18 people have volunteered.

So,

^nC_r=(n!)/(r(n-r)!)

Here n=18, r=5

Then

^(18)C_5=(18!)/(5(18-5)!)\n\n^(18)C_5=(18!)/(5(13)!)\n\n^(18)C_5=((18)(17)(16)(15)(14)(13))/(5(13))\n\n^(18)C_5=((18)(17)(16)(15)(14))/(5)\n\n^(18)C_5={(18)(17)(16)(3)(14)}\n\n^(18)C_5=205632

Hence, the different groups of 5 can be formed from the 18volunteers is

^(18)C_5=205632.

To know more about the permutation and combination

brainly.com/question/13715183

#SPJ2

Answer:

u can have max of 3 with remainder of 3

Step-by-step explanation:

a washer and a dryer cost 659$ combined. The washer costs 91$ less than the dryer, how much was the dryer?

Answers

W+D=659

W=D-91

---------------------------

(D-91)+D=659

D-91+D=659

2D=750

D=750/2=375

------------------------------

W+375=659

W=284

------------------------------

So the dryer had cost $375 and the washer had cost $284.
a washer and a dryer cost 659$ combined. The washer costs 91$ less than the dryer, how much was the dryer?  
washer --> x
dryer --> y

x + y = 659$
y = x + 91$

x + x + 91$ = 659$

2x = 659$ - 91$

2x = 568$ |:2

x = 284$
y = x + 91$ = 284$ + 91$ = 375$

The dryer costs 375$ and washer costs 284$

The formula to convert celsius to fahrenheit is F=9/5c+32. convert 87° F to celsius .Round to the nearest degree

Answers

Answer:

31°C

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is F=9/5c+32.

To convert  87° F to Celsius plug in F = 87 in the above formula, we get

87 = -(9)/(5) c + 32

Now we have to isolate the variable and the constant.

Subtract 32 from both sides, we get

87 - 32 = -(9)/(5) c + 32 - 32

55 = -(9)/(5) c

Multiply both sides by the reciprocal of -9/5

Which is called inverse operations to find the value of C.

The reciprocal of -9/5 is -5/9

-(5)/(9) *55 = -(9)/(5) *-(5)/(9) C

C = 275/9

C = 30.5°

To round off to the nearest degree, we get

31°C
The answer would be 30 or 31 degrees. 

Am getting the hang of this but I still need help so may I please get help with this equation -7a+6a^2-10

Answers

The factors are (a - 2) and (6a + 5) .If the expression is equal to zero, then 'a' can be 2, and 'a' can be -5/6 .
-7a+6a^2-10
I am assuming you are solving to get a zero, in which case a=2

The number of cards in 4/5 of Hazel's baseball card collection is equal to twice the number in her brother's collection. If Hazel's brother has 80 cards, how many does Hazel's have?

Answers

Answer:

Hazel have 200 baseball cards in her collection.

Step-by-step explanation:

Let the number of card Hazel's have be x.

Given:

Hazel brother have  = 80 cards

Also Given:

The number of cards in 4/5 of Hazel's baseball card collection is equal to twice the number in her brother's collection.

It means that 4/5 times of hazel card is equal to 2 multiplied with the number of cards hazel brother have.

Framing in equation form we get;

(4)/(5)* x = 2* 80\n\n4 * x = 2 * 80 * 5\n\nx=(2* 80 * 5)/(4) =200

Hence Hazel have 200 baseball cards in her collection.
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