MATHEMATICS HIGH SCHOOL

"Please tell the H.C.F. (Highest Common Factor) of 108, 162, and 270."

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

2*54 = 108

3*54 = 162

5*54 = 270

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How to solve this step by step

The sum of two numbers is 68. The larger number is 16 more than the smaller number. What are the numbers?

Answers

Answer:

x = 26

Step-by-step explanation:

68=x +(16+x) and if you plug in 26 it is 68

The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant

Answers

$y = x^2 + 8x + 10\n\nThe\ vertex=(p;\ q)\ \ \ and\ \ \ p=- (b)/(2a) ;\ \ \ q=- (\Delta)/(4a) ;\ \ \ \Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot10=64-40=24\n\np=- (8)/(2\cdot1) =-4\n\nq=- (24)/(4\cdot1) =-6\n\nthe\ vertex=(-4;-6)$

$y = x^2 + 8x + 10 \n \nthe \ standard \ form \ y = ax^2 + bx + c \n\nof \ a \ function \ into \ vertex \ form \ y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \n\n\ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a ) \n \ny = a(x - h)^2+k$

opens up for a > 0

$a=1 , \ \ b=8, \ \ c=10 \n \nh= (-8)/(2)=-4$

$k= 10-(8^2)/(4)=10-(64)/(4)=10-16=-6 \n \ny=(x-(-4))^2+(-6)\n \ny=(x+4)^2-6$

Edward is playing a game where he draws cards with integers on them from a deck of cards. If the integer is positive he moves forward that many steps, if the integer is negative he moves back that many steps. Edward drew the following cards: 3, -3, -4, 5, 10, -7. Where does Edward end up in relation to where he started? A) 4 steps behind where he started. B) 4 steps in front of where he started. C) 32 steps behind where he started. D) 32 steps in front of where he started.

Answers

The correct answer is option B) 4 steps in front of where he started.

Edward moves forward 3 steps, then back 3 steps, then back 4 steps, then forward 5 steps, then forward 10 steps, and finally back 7 steps.

The total number of steps Edward moves forward is 3 + 5 + 10 = 18 steps.

The total number of steps Edward moves back is 3 + 4 + 7 = 14 steps.

So, Edward ends up 18 - 14 = 4 steps in front of where he started.

Therefore, the correct answer is option B) 4 steps in front of where he started.

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If 120% is 360,what is 100%

Answers

Answer:

300

Step-by-step explanation:

We know

120% = 360

100% = ?

We cross multiply by 100 and divide by 120.

(360 x 100) ÷ 120 = 300

So, the answer is 300

Evaluate 10 + 8 ÷ 2 − 4.

10
5
6
14

Answers

the rank of ( divide and multiply) is higher than ( summation and subtraction ) so we divide 8/2 first
10+(8/2)-4
10+4-4= 10

Hi Brainiac

10+8 ÷ 2-4

10+4-4

= 14-4

= 10

I hope that's help:)

0.125 is how many cups

Answers

Well, you didnt exactly give me enough information to do the problem, but here it goes;
0.125 is a decimal, and as a fraction it converts to 1/8. Therefore, depending on the original unit, it could be 1/8 of a cup.

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Help me pls i need it