Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.

Answers

Answer 1

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.


Related Questions

whats the final answer?

Answers

Step-by-step explanation:

Tanø=opp/adj

Tan30=x/7. (× b.s 7)

x=7Tan30

x= 4.04

Solve the literal equation cy−7=5d+3y for y.

y=

Answers

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

a flag pole that is 10 m talk casts a shadow that is 6 m long. what is the distance from the top of the pole to the end of the shadow

Answers

Answer:

11.66 meters

Step-by-step explanation:

First draw a diagram. See attachment.

We notice that if we draw everything out, we get a right triangle.

The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 10 and b = 6, and we want to find c:

a² + b² = c²

10² + 6² = c²

100 + 36 = c²

136 = c²

c = √136 = 2√34 ≈ 11.66 meters

~ an aesthetics lover

Answer:

11.7

Step-by-step explanation:

Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?

Answers

Answer:

The answer is ask ten students wearing football jersey each day for a week

Step-by-step explanation:

Answer:

it its the pizza one because people could be bias and that would not give a very acturate answer

Step-by-step explanation:

the length of a rectangle is 3 inches m ore that its width. if the perimeter is 42 inches, what are the dimensions of the rectangle

Answers

Answer:

width is 9 length is 12 :)

Step-by-step explanation:

I'm doing this stuff rn

P + 4 Solve for p
--------- = 5
6

Answers

Answer:

p = 26

Step-by-step explanation:

(p+4)/6 = 5

Multiply each side by 6

(p+4)/6 *6 = 5*6

p+4 = 30

Subtract 4 from each side

p+4-4 = 30-4

p = 26

Please Help!! 10 Points!! Brainliest answer

Answers

Answer:

XW since it matches the same as IH  

Step-by-step explanation:

example if it asked another question saying what corresponds with XY. XY is on the last part of the statement so it would  correspond with IJ

Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.

Answers

Answer:

l=-15t+120

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount borrowed = $120

Amount left to pay after 2 weeks = $90

This means,

In 2 weeks the amount paid.

= 120 = 90

= $30

The amount paid per week is constant.

2 week = $30

Divide both sides by 2.

1 week = $15

Now,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Thus,

The equation represents representing the amount L owed after t weeks.

L = 120 - 15t

Learn more about expressions here:

https://brainly.com/question/3118662

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Under the Declaration of Independence ordinary citizens have the right to do what and why?

Answers

Answer:

yes, ordinary netizens have a right to do what they want or what opinion they want to say. Declaration of Indepence is not just for powerful people but also for ordinary netizens in order for them to spek the truth

a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin

Answers

26 divided by 4 is 6 with a remainder of two

Express in simplest form: 12 (2 + ) − (4 + )

Answers

Answer:

20

Step-by-step explanation:

12 (2 + ) − (4 + )

24-4

=20

Answer:

20

Step-by-step explanation:

order fruits from least to greatest according to the unit prices 0.84, 2.25, 1.17

Answers

Answer:

0.84, 1.17, 2.25

Step-by-step explanation:

Answer:

.84, 1.17, 2.25

Step-by-step explanation:

You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.

Whats value of x is in the solution set of 2(3x-1)>4x-6 A.-10 B.-5 C.-3 D-1

Answers

Answer:

B. -5

Step-by-step explanation:

3x-1 > 4x-6

   +1

3x>4x-5

     -4x

-x>-5

/-1   /-1

x>-5

#2 - Simplify the expression. Type your answer with all lowercase letters and no spaces. * 3h - e + 2h - 5e

Answers

Answer:

5h-6e

Step-by-step explanation:

3h - e + 2h - 5e =

= 3h + 2h - e - 5e

= 5h-6e

Answer:

5h - 4e

Step-by-step explanation:

Add 3h and 2h to get 5h then subtract e from 5e which equals 4e

Hope this helps!

27x^0y^-2 for x=4 and y=3

Answers

Answer:

A3=44 56-7

Step-by-step explanation:

Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099

Answers

Step-by-step explanation:

3526.49 12.64 0.21

I hope this helps

Answer:

3526.49

12.64

.21

Step-by-step explanation:

1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.

3526.485 becomes 3526.49

2. If it is lower than 5, then just leave the second number alone.

12.6433 becomes 12.64

3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.

.2099 becomes .21

Evaluate the indicated function for f(x) = x2 - 7 and g (x) = x+3

Answers

Answer:

-1 but your question doesn't make sense

Step-by-step explanation:

URGENT PLS HELP

BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.

Answers


Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.

if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___​

Answers

Step-by-step explanation:

F(g(x)) = -10x-13

First blank: -10

Second blank: -13


William just accepted a job at a new company where he will make an annual salary of
$60000. William was told that for each year he stays with the company, he will be
given a salary raise of $5000. How much would William make as a salary after 5
years working for the company? What would be his salary after t years?
Salary after 5 years:
Salary after t years:

Answers

Answer:

Salary after 5 years: 60000+(5000)5= 85000

Salary after T years: 6000+(5000)t

Step-by-step explanation:

The way that you would find the amount of money needed after 5 years is by multiplying the 5000, since that is William's raise per year, and then adding 60000, which is the original salary.

In order to find William's salary after t years, since you do not have a number, but have t, you would want to multiply 5000, which is the yearly raise, and t, hich can be any amount of years. After that, you would want to add William's original income to find an answer.

∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?

Answers

I think it b but I’m not sure

Step-by-step explanation:

chinese dynasties=C

Hinduism birthplace=B

Hebrew culture=A

I need help on this mathematical equation B is the Midpoint of AC.

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

B is the midpoint of AC so AB = BC.

AB + BC = AC

AB + AB = AC

2(AB) = AC

[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]

Expand:

[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x-6+6=10x+10+6[/tex]

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]18x-10x=10x+16-10x[/tex]

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, we know that the entire segment adds up to 5(2x+2). In other words:

[tex]AB+BC=5(2x+2)[/tex]

Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:

[tex]AB=BC[/tex]

Since we know that, let's substitute BC for AB in the first equation:

[tex]AB+BC=5(2x+2)\\[/tex]

This is equivalent to:

[tex]AB+AB=5(2x+2)[/tex]

Combine like terms:

[tex]2AB=5(2x+2)[/tex]

And since we know that AB is 3(3x-1), substitute:

[tex]2(3(3x-1))=5(2x+2)[/tex]

Now, solve for x.

Distribute the left side:

[tex]6(3x-1)=5(2x+2)[/tex]

Distribute both sides:

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]x=2[/tex]

So, the value of x is 2.

And we're done!

Notes:

You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:

[tex]AB=BC=3(3(2)-1)=15[/tex]

And the entire length AC is:

[tex]AC=2(15)=30[/tex]

I need help on this question

Answers

Answer:

x=32

Step-by-step explanation:

Answer:

x= 32

Step-by-step explanation:

Remember all triangles sum up to 180 degrees.

Equation= 98+50+x=180

Step 1- Add to simplify

148+x= 180

Step 2- Subtract 148 to both sides.

148+x= 180

-148       148

x= 32

What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP

Answers

Answer:

14:6 is the same as 7:3

Step-by-step explanation:

both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal

Answer:

14:6

Step-by-step explanation:

When 2 is divided by the two numbers, 14 and 6, it will be 7:3.

Convert 6 7/20
into a decimal

Answers

Hey there!

ANSWER: [tex]0.35[/tex]EXPLANATION:

[tex]6 \frac{7}{20}[/tex] as a decimal

The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.

[tex]0.35(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

solve for x. ax-bx=k​

Answers

Answer:

x= k/a-b

Step-by-step explanation:

Move all terms to the left side and set equal to zero as well as each factor.

Hope this helps.

The value of x is k/ (a-b).

What is Algebra?

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

ax-bx=k​

x(a-b)=k

x= k/ (a-b)

Hence, the value  x is k/(a-b)

Learn more about algebra here:

https://brainly.com/question/24875240

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1. Sum of two numbers = 15
Difference of the numbers = 3
Find the numbers.
What is their product?

Answers

The answer is 45 because you multiply 9 and 6
The numbers are 9 and 6 as 9+6=15 and 9-6=3, the product would be 9*6=54.

So the product is 54 and the two numbers we had to find are 9 and 6.

4 to the second power is the same as 4 squared. True or false ?

Answers

Answer:

False.

Step-by-step explanation:

60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

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