MATHEMATICS HIGH SCHOOL

1. Calculate. Use the method you prefer. Check your answer using the inverse operation. a. 2014 ÷ 17 b. 3716 22 d. 1 168 ÷ 16 c. 4 691 ÷ 13 g. 5 186 ÷ 21 e. 9 603 27 f. 7 834 ÷ 19 h. 6 437 14 mo C.

Answers

Answer 1

Answer:

the solutions are for: a. 118 with a remainder of 10, b. 169 with a remainder of 10.

What about others and what is remainder?

a. 2014 ÷ 17 = 118 with a remainder of 10

Check: 118 x 17 + 10 = 2014

b. 3716 / 22 = 169 with a remainder of 10

Check: 169 x 22 + 10 = 3716

c. 4 691 ÷ 13 = 361 with a remainder of 8

Check: 361 x 13 + 8 = 4691

d. 1 168 ÷ 16 = 73

Check: 73 x 16 = 1168

e. 9 603 / 27 = 355 with a remainder of 18

Check: 355 x 27 + 18 = 9603

f. 7 834 ÷ 19 = 411 with a remainder of 5

Check: 411 x 19 + 5 = 7834

g. 5 186 ÷ 21 = 247 with a remainder of 19

Check: 247 x 21 + 19 = 5186

h. 6 437 / 14 = 459 with a remainder of 1

Check: 459 x 14 + 1 = 6437

Therefore, the answers are:

a. 118 with a remainder of 10

b. 169 with a remainder of 10

c. 361 with a remainder of 8

d. 73

e. 355 with a remainder of 18

f. 411 with a remainder of 5

g. 247 with a remainder of 19

h. 459 with a remainder of 1

In arithmetic, the remainder is the amount left over after performing a division operation when one number is divided by another.

For example, when you divide 17 into 2014, you get 118 with a remainder of 10. This means that 17 goes into 2014 exactly 118 times, with 10 left over. The remainder is always less than the divisor and indicates how much is left after dividing the dividend as equally as possible by the divisor.

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Newton and his friends were watching a movie. They watch 50% of the movie and then take a break. Then they watch the remaining 65 minutes of the movie. How long was the whole movie

Answers

The length of the whole movie was 130 minutes.

Let's call the length of the whole movie "x". According to the problem, Newton and his friends watch 50% of the movie before taking a break. This means they watched 0.5x minutes of the movie.

After the break, they watch the remaining 65 minutes of the movie. So the total time they watched the movie is:

0.5x + 65

But we know that the total time they watched the movie is the same as the length of the whole movie "x". So we can set these two expressions equal to each other and solve for "x":

0.5x + 65 = x

Subtracting 0.5x from both sides, we get:

65 = 0.5x

Dividing both sides by 0.5, we get:

x = 130

Therefore, the length of the whole movie was 130 minutes.

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Jenny is eight years older than twice her cousin Sue’s age. The sum of their ages is less than 32. What is the greatest age that Sue could be? 7 8 9 10

Answers

Sue age = x

jenny age = 2x+8

then, x+2x+8 = 32

3x=24

x=8

So, answer is option B.

the correct answer is b

Which of the following can be used to explain a statement in a geometric proof Contradict
Theorem
Corollary
Postulate
Definition

Answers

Theorem, Corollary, Postulate and Definition among the following choices given in the question can be used to explain a statement in a geometric proof. The correct options among all the options that are given in the question are the second, third, fourth and fifth options. I hope the answer helps you.

All of them except D: Guess. You can't "guess" at a proof

Solve for n. Round to the nearest tenth, if necessary.

47/n = 36/54

Answers

$(36)/(54)=(36:18)/(54:18)=(2)/(3)\n\n(47)/(n)=(2)/(3)\ \ \ |cross\ multiply\n\n2\cdot n=3\cdot47\n\n2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\n\nn=(141)/(2)\n\n\boxed{n=70.5}$

$47/n = 36/54$

$47/n=2/3$

$47=2/3n$

$47=2n/3$

$47*3=2n$

$141=2n$

$141/2=n$

Decimal Form: 70.5

Factor the expression on the left side of the equation. Then solve the equation.x³ - 2x² - 5x = 0

-5, 0, 3
0, -1 ± √24
0, -1 ± √6
0, 1 ± √6

Answers

x³ - 2x² - 5x = 0

First, take common factor:

x(x^2 - 2x - 5 )= 0

Now use the quadratic formula to find the roots of the trinomial

x = [- b +/- √(b^2 - 4(a)(c)] / 2a

$x = (2 +/- √(4 -4(1)(-5)) )/(2)$

x = [2 +/-2√6 ]/2

x = 1 + √6 and x = 1 -√6

Then the solutions are:

x =0; x = 1 + √6; x = 1 - √6

That is the las option shown.

2(1/2q+1)=−3(2q−1)+8q+4 .