Suppose x, y, and z are all rational numbers. Is
a rational number? Explain
2
your answer.
O Yes; the square and square roots cancel out, leaving a rational number.
There is not enough information to answer the question.
O No; the square root of any number is irrational.
O No; a quotient of rational numbers is not always rational.

Answers

Answer 1
Yes number 1 yes yes

Related Questions

How do you find the endpoint?

Answers

Answer:

Step-by-step explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.

How many degrees are in a half of a full turn? another dumb question lol

Answers

160
Is the the answers r I did this before trust me

Answer:

180 degrees is half of a full turn 360 degrees in a full turn

Step-by-step explanation:

Suzy went to a department store and brought 3 pairs of shoes. The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair. The third pair of shoes were $5 more than the first pair. She paid with a $100 bill and got $3 in change. How much did each pair of shoes cost?

Answers

Answer:

Cost of first pair shoe = a = $23

Cost of second pair shoe = b = $46

Cost of third pair shoe = c = $28

Step-by-step explanation:

Let

Cost of first pair shoe = a

Cost of second pair shoe = b

Cost of third pair shoe = c

The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.

b = 2a......... Equation 1

The third pair of shoes were $5 more than the first pair.

c = a + 5...... Equation 2

She paid with a $100 bill and got $3 in change.

a + b + c = $100 - $3

a + b + c = 97........... Equation 3

Substitute 2a for b and a + 5 for c in Equation 3

a + 2a + a + 5 = 97

4a = 97 - 5

4a = 92

a = 92/4

a =$23

The cost of the first pair of shoe = $23

b = 2a......... Equation 1

b = 2($23)

b = $46

The cost of the second pair of shoe = $46

c = a + 5...... Equation 2

c = $23 +$5

c = $28

The cost of the third pair of shoe = $28

A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Answer: i did this test

Step-by-step explanation:

98*68-67+87
this is for my lady

Answers

Answer:

6684

Step-by-step explanation:

Answer:

6684

Step-by-step explanation:

(98)(68)-67+87

PEMDAS

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

HELP HAVING BAD DAY


Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?

Answers

Answer:  15 miles

===========================================

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

The answer is 15 miles!

Explication:
I had the same question and this was right

Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour

Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29

Answers

Answer:

3

Step-by-step explanation:

Plug in -4 as x in the function:

f(x) = x² + 2x - 5

f(-4) = (-4)² + 2(-4) - 5

Simplify:

f(-4) = 16 - 8 - 5

f(-4) = 3

So, f(-4) = 3

What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))

Answers

Answer:

Ues the site called quetext is helps

Step-by-step explanation:

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.

What is Distributive property?

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

If an exponent acts on single term in parentheses, we can distribute the exponent over the term.

(2a)^4

=2^4.a^4

The value of 2^4 is 16, because 2^4=2*2*2*2=16.

=16a^4.

Therefore by distributive property of exponents (2a)^4 = 16a^4.

To learn more on distributive property click:

https://brainly.com/question/5637942.

#SPJ2

Find two numbers if their ratio is 9:11 and their difference is 6.

Answers

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

What is the slope of (-3,4) and (0.3)

Answers

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

A number n minus 3 is at least –5.

Answers

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.

Answers

Given:

The amount of fuel remaining in a gas grill is a function of the number of hours.

[tex]F(h)=100-2h[/tex]

To find:

The domain for this situation.

Solution:

Domain is the set of input values.

The amount of fuel remaining in a gas grill F(h) is

[tex]F(h)=100-2h[/tex]

where, h is the number of hours.

Here, domain is the set of all possible values of h.

We know that, time and remaining fuel cannot be negative. So,

[tex]h\geq 0[/tex]      ...(i)

[tex]F(h)\geq 0[/tex]

[tex]100-2h\geq 0[/tex]

[tex]100\geq 2h[/tex]

[tex]50\geq h[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]0\leq h\leq 50[/tex]

Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].

Which expression is equivalent to 1/4x+3−1/3x+(−2)?

Answers

Answer:

7/12x+5

Step-by-step explanation:

* + 86
* + 106
Can you please help

Answers

Answer:x=20

Step-by-step explanation:

Answer:

I think is x=-20

I might have calculated wrong

What is the slope of y=-1/2x+3

Answers

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

m ( slope ) = -½ .c ( y - intercept ) = 3 .

Hence the slope of the line is -½.

What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5

Answers

x-intercept: 4

y-intercept: 20

Answer:

Step-by-step explanation:

x-intercept: 4

y-intercept: 20

y = 4x2 - 5X-10
vertex

Answers

Answer:y=4×2 - 5x-10.y=8 -5x-10.y= -3x -10.

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answers

Answer:

p = (200 + 7.5t) psi

Step-by-step explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

  = (200 + 7.5t) psi

If the temperature increases by [tex]1^{o}[/tex] F, then;

p = 200 + 7.5(1)

  = 200 + 7.5

  = 207.5 psi

If the temperature increases by [tex]10^{o}[/tex] F, then;

p = 200 + 7.5(10)

  = 200 + 75

  = 275 psi

In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?

Answers

Answer:

unit rate= 4-kilometers/minute   expected time= 56 minutes

Step-by-step explanation:

14 kilometers x 4 kilo/minute = 56 minutes

m² - 9m +8
(Factoring)
show steps

Answers

Answer:

I really dont know sorry love <3

Step-by-step explanation:

Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and the level decreased by 8 inches.During the second week, it rained and the water level increased by 17 inches. Model the changes as a sum of integers.

Answers

Answer:

(-8) + (+17) = -8 + 17 = 9

Step-by-step explanation:

Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)

Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).

These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:

(-8) + (+17)

When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.

17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.

Thus:

(-8) + (+17) = -8 + 17

= 9

Twelve Divided by the sum of a number and five

Answers

12/x+5
x represents “a number” because it’s unknown and the + sign is because the words sum

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie

Answers

Answer:

Vinnie is 12.

Step-by-step explanation:

24 divided by 2 is 12

A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers, but the division is not wholly complete.

For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.

Given that,

Age of Julie = 24 years

Age of  Vinnie = 1/2 of 24

The 1/2 fraction of 24 will be

⇒ 24/2 = 12 years.

Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".

For more about fractions,

https://brainly.com/question/10354322

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Can I please get HELP? ( Picture included)

Answers

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

Can you pls answer the question below

Answers

Answer:

The student added instead of subtracting 6 from both sides first before dividing.

To be simple and short it’s x=4 and student added 6 instead of subtracting it

Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)

I know the page is a bit blurry so here’s what question 2 says:

Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?

the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9

Answers

Answer: 2:D     3: 1/3 of the fruit, or 80 oranges

Step-by-step explanation:

Answer:

Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1

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