P and q are integers that are multiple of 5. Which of this

not true about p and q

(a) P + q is divisible by 5

(b) P –q is divisible by 10

(c) P + q is divisible by 20

(d) P + q is divisible by 25​

Answers

Answer 1

Answer:

we conclude that the only option (a) is true.

Step-by-step explanation:

As we know that the multiples of 5 are the numbers which we get when we multiply by 5.

i.e.

5×1=5

5×2=10

Here, 5 and 10 are multiples of 5.

Let p and q are integers that are multiples of 5.

Let us consider

p=5

q=10

so

p+q=5+10

     = 15

A number is divisible by 5 if it ends in 5 or 0.

i.e. 15/5 = 3

so p+q is divisible by 3 as there is no remainder left.

Therefore, option (a) is true.

Checking the other options:

(b) P –q is divisible by 10

As

p=5

q=10

so

p-q=5-10

     = -5

Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.

As -5 is not divisible by 2.

So, option b is NOT true.

(c) P +q is divisible by 20

As

p=5

q=10

so

p-q=5+10

     = 15

Divisibility rule of  20  implies that the last two digits of the number are either  00  or divisible by  20 .

Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.

(d) P + q is divisible by 25​

As

p=5

q=10

so

p-q=5+10

     = 15

p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.

so, option d is NOT correct.

Therefore, we conclude that the only option (a) is true.


Related Questions

Do you guys know this?

Answers

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

4x - 3y = 1
-8x + 6y = -2

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Add 8x to both sides:                   6y = 8x - 2Divide 6 on both sides:                y = 4/3x - 1/3

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Substitute in y:                         4x - 3(4/3x - 1/3) = 1Distribute -3:                            4x - 4x + 1 = 1Combine like terms:                1 = 1

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

On a street , there are 25 houses, of which 12 have a cat and 4 have both a cat and a dog. If a house has a cat, what is the probability that there is also a dog living there?

Answers

Answer:

50 percent

Step-by-step explanation:

I need help again please help me with this question

Answers

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

why was mom now saying that Augie did not have to go to school​

Answers

Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

Wes had 4.75 in quarters and dimes if he had 25 coins how many of each did he have?

Answers

Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

Help me please. Thanks

Answers

Answer:

ç sir kasi multiplication gamitinnnyan

Answer:

A

Step-by-step explanation:

Find the area of the square

Area = s^2

s = 8

Area = 64 square feet.

Find the area of 1 circle.

r = d / 2

r = 4 / 2

r = 2

Area of 1 circle = pi r^2

Area of 1 circle = 3.14 * 2^2

Area of 1 circle = 12.56

Area of 4 circles

Area of 4 circles = 4 * 12.56

Area of 4 circles = 50.24

Area of unshaded area

Area of unshaded area = area square - area 4 circles.

Area of unshaded area = 64 - 50.24

Area of unshaded area = 13.76

Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?

Answers

Answer:

$98

Step-by-step explanation:

70 is the original price, but the mark up is 40%. So, 40% of 70 is 28

$70 + $28 = $98

Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?

Answers

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

(Ill give brainliest if u help!)


Which equation has a value less than 54,811?


A) 54,811 x 2 = ________

B) 54,811 x one and two fourths = ________

C) 54,811 x 1 = ________

D) 54,811 x two fourths = ________

Answers

Answer:

Answer is D

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation:


For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers

Answers

Answer:

b

Step-by-step explanation:

f(x) = 72-12x what is the domain and range

Answers

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

See attachment for answer:

Explanation:

Is undefined in other words “do not exist”



What is the slope and the y- intercept of the line on the graph

Answers

Answer:

its c for sure, its obvious

I believe it’s the first one if not then I’m sorry

An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about​ 6,000 apples. Do you​ agree? Explain.

Answer: No. Since 13×400=5,200​, 13 apple trees can grow about 5,200 apples.​ Jake's estimate of​ 6,000 is much higher than 5,200.

Answers

Answer:

you answered it

Step-by-step explanation:

you put no blah blah blah

What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.

A triangle has a base of 16 inches and a height of 16 inches.

_____ in²

Answers

Answer:

I believe the answer is the triangle has an area of 256 inches. I may be wrong though.

Step-by-step explanation:

Answer:

128  in²   but only type 128 to complete the answer

Step-by-step explanation:

FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings

(A) 25 %
(B). 50%
(C) 75%
(D) 80%

Answers

How much is Janet saving tho?
how much savings does Janet have?

What is the measure of angle G? Type only the number:

Answers

Answer: 48

Step-by-step explanation:

total of all the degrees of the angles of the triangle is ALWAYS 180

let the measure of angle G be x

180 = 102+30+x

180 = 132+x

x = 48

The subset of the sample space probability experiment

Answers

Step-by-step explanation:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.

Answers

Answer:

67

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

what is the correct evaluation of 3x-x+2,when x is equal to -4?

14

-6

6

-14​

Answers

Answer:

The answer is -6.

Step-by-step explanation:

You have to substitute x = -4 into the expressions :

3x - x + 2

= 3(-4) - (-4) + 2

= -12 + 4 + 2

= -6

Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Learn more about

https://brainly.com/question/1499535

can you help me out​

Answers

Answer:

$36

Step-by-step explanation:

Answer:

$36.

Step-by-step explanation:

(Hot dog) 2 for 5: Unit price is 5/2 = 2.5

(Soda) 3 for 3 so unit price is 1 for 1.

6 sodas = 6 dollars

12 Hot dogs = 12. x 2.5 = 30 dollars.

Price for both = 30 + 6 = 36.

8y-2x=-72 in slope form

Answers

Answer:

y=1/4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b.

8y-2x=-72

Add 2x to both sides

8y=2x-72

Divide both sides by 8.

y=1/4x-9

HTH :)

what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?

Answers

Answer:

5x² - 36x - 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Combining Like TermsStandard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define expression

5x² - 36x - 81

Step 2: Simplify

We cannot simplify the expression down further.

What is the solution for y=2x+3, y=2x-3

Answers

Answer:.

Step-by-step explanation:

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

To learn more about supplementary angles click here ;

https://brainly.com/question/26760105

#SPJ2

helllppp meee please

Answers

Answer:

2, 3, 6, 7

Step-by-step explanation:

What is B^y=x in logarithmic form?

Answers

Answer:

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1

Step-by-step explanation:

ttygytex x so r5f3ygthttg

Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.

Answers

Answer:

n+n= 2n

[tex](3n) ^{2} = 9n ^{2} [/tex]

5(n+2)=5n+10

2(n+1)=2n+1

[tex]n \div 4 = \frac{n}{4} [/tex]

[tex]n(n - 2 = n{2} - 2n[/tex]

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