PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.

Answers

Answer 1

Answer:

Yes, [tex]2a . 38b = 4a . 19b[/tex]

Step-by-step explanation:

Given

[tex]Expression: 2a.38b[/tex]

Required

Is 4a a factor of the expression?

Analyzing each option.

1.

[tex]2a . 38b = 4a . 19b[/tex]

[tex]76ab = 76ab[/tex]

The above expression is true.

Hence: This option answers the question


Related Questions

Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!

Answers

Answer:

I'm pretty sure its 12 inches

Step-by-step explanation:

The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored

Answers

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________

Answers

Answer: $15,660 & 32 v.c

Step-by-step explanation:

Is the product of 0.4 * 1.8 greater then or less then 0.4


Answers

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?

Answers

If Sammy pays a monthly installment of $ 27 for 24 months, then the total amount paid by Sammy is 24 * $ 27 = $ 648. Now, since the

4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet

Answers

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?


The rate of return that the university must realize in order to award the annual scholarship forever is _____%.

Answers

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

Find the measures of the missing values.

Answers

1. X and Y= 39 (180-102=78, 78 divided by 2=39)

Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.

Answers

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value ​

Answers

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.

Answers

Answer:

the anwer is 5*6

PLS HELP QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

the first one

Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist

Please help.. I’m stuck on this question

Answers

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.

Part A: Show your work to complete the square of the function. (1 point)

Part B: Identify the vertex of the function. (1 point)

Part C: Explain how to determine the maximum or minimum value of the function. (2 points)

Answers

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

can yall help me out please.​

Answers

Answer:

which one equals 12? option C

Step-by-step explanation:

Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

Describe the possible values of x.​

Answers

Answer:

70x - 70 if it means 5 * 7 * (2x - 2)

Step-by-step explanation:

please help asap :)​

Answers

The answer to this question is “No”

Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0

Answers

Answer:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

Step-by-step explanation:

We can determine the characteristic equation all we have to do is:

let y' = m, hence y" = m², y'" = m³

Therefore, the higher-order differential equation becomes:

m³ + 3m² + 3m + 1 = 0

(m + 1)(m² + 2m + 1) = 0

(m + 1)(m + 1)(m + 1) = 0

(m + 1)³ = 0

m = -1, -1, -1

Therefore the general solution is given as:

[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]

[tex]c_1,c_2,c_3\ are\ constants.[/tex]

What is the length of LA?

Answers

The length of LA in the triangle will be 8.

How to calculate the triangle?

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ6

What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.

Answers

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  [tex]\sqrt{289}[/tex]

   = 17

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4

Answers

y=2x+-4
i apologize if this is wrong it can be written in different ways i’m just doing slope intercept

Expand the following expression 3(4−5x)

Answers

Answer:

12-15x

Step-by-step explanation:

3 × 4=12

3 × -5x=-15x

12 - 15x

c. One sixth of a number is 15. What is the number?
Please explain step by step.

Answers

Answer:

90

if 15 is 1 6th then yo need 5 more 15s to find out the whole number

Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30

Answers

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

Micah found the least common multiple of 8 and 12. His work is shown below.

Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .

The least common multiple is 12.

What is Micah’s error?

Answers

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

He forgot the 20 when he was doing the 8

The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%

Answers

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

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