Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.

Answers

Answer 1

Answer:

a. True

b. True

c. False

d. False

e. False

f. True

g. True

h. True

i. True

j. True

Step-by-step explanation:

When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.


Related Questions

a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?

Answers

Answer:

2+11=13

180-50=130

130÷13=10

2×10=20

11×10=110

2=20°

11=110°

PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 3.2%

Step-by-step explanation: i searched it up

Use the table to write each ratio Redbirds to blue socks

Answers

Honestly I don’t know the answer

How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?

Answers

Answer:

$1,951.03.

Step-by-step explanation:

To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:

X x (1 + 0.07 / 2) ^ 1x2 = 2,090

X x 1,035 ^ 2 = 2,090

X x 1.071225 = 2,090

X = 2,090 / 1.071225

X = 1,951.03

Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.

NEEDEDASAP PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

16. 150ft

17. 120ft

18. 14sq in

19. 12ft

20. 100miles

21. 87ft

22. 24in        23. 31in

Step-by-step explanation:

brainliest?

Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?

Answers

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

Please Help due in 1 min

No Links Allowed

Answers

She wrote 12 digits down

The figure formed by two rays from the same endpoint is an​

Answers

Answer:

common endpoint

Step-by-step explanation:

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2

Answers

Answer:

the 2nd one

Step-by-step explanation:

Find the measures of the numbered angles in each kite.

Answers

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

8.07

Step-by-step explanation:

sin(48)=x/6

6sin(48)=x

I NEED HELPPPPP PLEASE ​

Answers

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

If 43x-2=4 x+1, then x

Answers

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400

Answers

If 86,000 is annual gross income then,

$86,000. 100%
$x. 25%
x=86000•25/100
x=21,500$
Answer is A

Each square on the grid represents 1 square yard. What is the area of the octagon?

A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd​

Answers

Answer:

B. 41 sq yd

hope this answer helps you......

An airplane takes off at a speed S of 226 mph at an angle of 18° with the horizontal. Resolve the vector S into components.

Answers

Velocity=226mph

Angle made with horizontal= 18°

The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]

The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

What is a Vector ?

An parameter that has both magnitude and direction is called a vector.

It is given that

Speed S = 226 mph

Angle = 18 degree with the horizontal

The vector component are

[tex]\rm v_x , v_y[/tex]

here these are x and y components of the vector

V is the magnitude = |v| = 226

The vector component is given by

cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|

[tex]\rm v_x[/tex] = 226 cos 18°

[tex]\rm v_y[/tex] = 226 sin 18°

Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

To know more about Vector Components

https://brainly.com/question/4179238

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Please help asap Find the area of this circle. Use
3.14 for it.
108 in.
The area of the circle is about in.2.
(Round to the nearest hundredth as needed.)

Answers

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

solve (13 + 2) divided (9-4) using pemdas

Answers

Answer:

3

Step-by-step explanation:

(13+2)/(9-4) =

15/5 =

3

P arenthese

E xponents

D ivide

A dd

S ubtract

PLS Help quick!!

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle
between the sloping sides is 77º. What is the shortest distance between the tip of the cone and its rim?

A. 177.8 cm
B. 64.3 cm
C. 50.3 cm
D. 51.1 cm
E. 41.1 cm

Answers

Answer:

Option D. 51.1 cm

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo, c is the distance between the tip of the cone and its rim.

The value of c can be obtained as follow:

Angle θ = 38.5°

Adjacent = WY = 40 cm

Hypothenus = WZ = c =?

Cos θ = Adjacent / Hypothenus

Cos 38.5 = 40 / c

0.7826 = 40 / c

Cross multiply

0.7826 × c = 40

Divide both side by 0.7826

c = 40 / 0.7826

c = 51.1 cm

Thus, the distance between the tip of the cone and its rim is 51.1 cm.

Answer:

Option D. 51.1 centimeters

Step-by-step explanation:

Correct answer for plato users

Please help me!! I don’t get this!

Answers

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it

Answers

Answer and Step-by-step explanation:

The answer is in the attached photo.

The center is at (-1, -3), and it will have a point on (-7, -3)

#teamtrees #PAW (Plant And Water)

PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.


What is the equation of the directrix?


y = 5.5


y = 4.5


​y = 2​


​y = 0.5

Answers

Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck

What is the area of △STU rounded to the nearest tenth?

Answers

Answer:

38.7 units²

Step-by-step explanation:

4.6/SV = SV/8.1

SV² = 37.26

SV = 6.1

area = 1/2(8.1)(6.1) + 1/2(4.6)(6.1) = 38.7 units²

Miranda wants to buy as many collectible dolls as possible, for $2.50 each. If she has $45.00 to spend, how many dolls can she buy?
Which equation BEST represents this situation?

Answers

Answer: Miranda can buy 18 dolls.

Step-by-step explanation:  Equation: 45 divided by 2.50

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker


Giving BRAINLYIST to whoever gets it right! PLEASE HELP!

Answers

Answer:

area = 117 cm²

Step-by-step explanation:

area = 1/2(b1 + b2)h

area = 1/2(17 + 9)(9)

area = 117 cm²

Answer:

A=117

Step-by-step explanation:

:))

Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.

Answers

Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

What are the solutions of the quadratic equation 5x2 – 10x – 15 = 0?

Answers

Hope this helps

Answer:
X=3072
Let me know if you need anymore help

PLEASE HELp find the value of each variable in the parallelogram

Answers

Answer:

z = 28

d = 126

Step-by-step explanation:

20 = z-8

20+8= z-8+8

28 = z

d-21 = 105

d-21+21 = 105+21

d = 126

The value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

What is Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

We know that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

So d-21=105

Add 21 on both sides

d=105+21

d=126

and 20=z-8

Add 8 on both sides

20+8=z

28=z

Hence, the value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

To learn more on Parallelogram click:

https://brainly.com/question/19187448

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