Mathematics High School

Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1
The number –6 is less than 0.

Answers

Answer 1

Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.

What are rational numbers?

Rational numbers consist of fractions and integers.

Any rational number can be written in the form of p/q, where q ≠ 0.

Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.

Given, Martha states that - 6 is a rational number.

First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.

learn more about rational numbers here :

https://brainly.com/question/1310146

#SPJ6

Answer 2
Final answer:

Martha is correct in stating that -6 is a rational number because it can be written as -6/1.

Explanation:

Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.

Related Questions

The longest side of an obtuse triangle measure 20 cm. the two shorter sides measure x cm.and 3x sm round to the nearest tenth,what is the greatedt possible value of x

Answers

22cm is the greatest

It should be greater than17(20-3)

and smaller than 23(20+3)


What is tan (x)?

20/21

20/29

29/21

29/20

Answers

Answer is choice A) 20/21

The first step is to use the pythagorean theorem a^2+b^2 = c^2 to find the missing side to be 21. Once you know this, you find the ratio of the opposite and adajcent sides. The opposite side is the leg furthest from the angle x (the side labeled 20). The adjacent side is the leg closest to or touching the angle x (the side labeled 21 which was found earlier). 

So, tan(x) = opposite/adjacent = 20/21

How do I solve for X?

Answers

The distance from the external point ^2 = The external segment of the secant * the full length of the secant.
tangent distance = 6
External portion of the secant = 3
Full length of the secant = x + 3

6^2 = 3*(x + 3) Remove the brackets. 
36 = 3x + 9  Subtract 9 from both sides.
36 - 9 = 3x
27 = 3x Divide by 3
x = 9  <<<<<<<Answer.

what is the sum of 2 2/3 and 1 5/6?

Answers

First make each fraction into an improper fraction

2 2/3 = 8/3
1 5/6 = 11/6

Next, make the fractions have same denominators. Note, that what you do to the denominator, you do to the numerator.

8/3(2/2) = 16/6

Add
16/6 + 11/6 = 27/6

27/6 = 4 3/6 = 4 1/2

4 1/2 is your simplified answer

hope this helps

Deon worked 16 hours last week at the grocery store and earned $124.00. If he continues to earn the same hourly pay, how many additional hours must he work to earn another $186.00? A. 20 hours B. 24 hours C. 32 hours D. 62 hours

Answers

The answer is: B. 24 hours. I know this because 124/16= 7.75, Then you do 7.75 × 24= $186. Hope this helps!
Your answer is 24 hours

How many eggs are needed to make 1 dozen waffles, assuming you have enough of all other ingredients? given: 2 cups flour + 3 eggs + 1 tbs oil → 4 waffles
a. 12
b. 48
c. none of these choices is correct
d. 9
e. 16?

Answers

We have been given that

2 cups flour + 3 eggs + 1 tbs oil → 4 waffles

In order to make 4 waffles we need 3 eggs.

Thus, to make 1 waffle we need 3/4 eggs.

Now, in 1 dozen there are 12 waffles. Hence, to make 12 waffles we need

[tex]\frac{3}{4} \times 12\\ \\ =3 \times 3\\ =9[/tex]

Therefore, 9 eggs are needed to make 1 dozen waffles.

D is the correct option.

Final answer:

The correct option is (d) 9. Using the given recipe, we can determine that 9 eggs are needed to make 1 dozen waffles by setting up a proportion and solving for the number of eggs.

Explanation:

The original recipe provided states that 2 cups of flour, 3 eggs, and 1 tablespoon of oil will yield 4 waffles. To find out how many eggs are needed to make 1 dozen (12) waffles, we need to set up a proportion based on the given recipe.

Since 4 waffles require 3 eggs, we can set up the following equation: 4 waffles / 3 eggs = 12 waffles / x eggs. Cross-multiplying gives us 4x = 36, and dividing both sides by 4 gives us x = 9. Therefore, 9 eggs are required to make 1 dozen waffles.

Solve 7 + x - 15 = -2
5 1/3
6 1/3
10 2/3
20 2/3

Since the mod decided to delete my question because of a mistake. Please answer. Need it ASAP

Answers

7+x-15=-2

Combine like terms
(7-15)+x=-2

-8+x=-2
+8     +8

x=6

6 is your answer.

Check :
7+6-15=-2

13-15=-2

-2=-2

Correct!

Hoped I helped!

1) If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?

Answers

First thing you need to do is find the center. This would be the midpoint of the two points given. 

Midpoint = [tex]( \frac{X1+X2}{2} , \frac{Y1+Y2}{2} )[/tex]
where X1 is the x-coordinate of the first ordered pair and Y1 is the y-coordinate of the first ordered pair. Same applies to X2 and Y2. So now we plug in.

Mdpt = [tex]( \frac{9+5}{2} , \frac{4+2}{2} )[/tex]
= [tex]( \frac{14}{2} , \frac{6}{2} )[/tex]

Your midpoint is at (7, 3).

This gives you the beginning of the equation. The equation of a circle is:

(x - h)² + (y - k)² = radius²
where (h, k) is the center. 

Your equation is:
(x - 7)² + (y - 3)² = radius²

To find the radius, we do either the distance formula from the center to either of the endpoints. Or the distance between the two endpoints divided by two. Depends on which one you want to do. I choose the latter, but it's all personal preference.

Distance formula = √((X2 - X1)² + (Y2 - Y1)²)

So we plug in:

D = √((5 - 9)² + (2 - 4)²)
D = √((- 4)² + (- 2)²)
D = √(16 + 4)
D = √20

Distance of the diameter = 2√5

Now divide that by 2, your radius is √5

Now we plug in to the equation:

(x - 7)² + (y - 3)² = (√5)²

Your final equation is:

(x - 7)² + (y - 3)² = 5

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set.

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The general form of a quadratic regression equation is

[tex]y=ax^2+bx+c[/tex]                         ..... (1)

Using graphing calculator we get

[tex]a=-0.143393\approx -0.143[/tex]

[tex]b=0.59525\approx 0.595[/tex]

[tex]c=2.82964\approx 2.830[/tex]

Substitute these values in equation (1) to find the quadratic regression equation for this data set.

[tex]y=-0.143x^2+0.595x+2.830[/tex]

Therefore the correct option is a.

Help



How much will $5,000 invested at 6% compounded annually amount to after 10 years?

Answers

To find one year, here's the equation:
5000 + 0.06(5000)
For 10 years:
5000 + 10(0.06(5000))
Multiply:
5000 + 0.6(5000)
We can make it smaller:
1.6(5000) = 8000
You can make $8000

realtor makes 3% commission. What is the commission on a $200,000 house?

Answers

should be 12,000. unless there are other fees included
3% is the same as 0.03

multiply 200,000 with 0.03

200000 x 0.03 = 6000

$6000 is the commission on a $200,000 house, with the total cost becoming $206,000


hope this helps

The side of a square measures 2x^2y^3 what is the area of the square if x=-2 and y=2

Answers

The area of the square is -128.

shadesha invests $24,000 at age 27. at the age 31 jerome invests $2000 annually until retirement both invest at 7% compounded annually to plan to retire at 65 who has more money for retirement

Answers

Applying the compounded interest formula [tex]FV_{N}=PV(1+r)^{N} [/tex] we can write that Shadesha will earn for the retirement [tex]FV_{38} = 24000 (1+0.07)^{38} = $313,902.513879[/tex]
Applying annuity formula, Jerome will earn [tex]FV_{34}=2000( \frac{(1+0.07)^{34}-1 }{0.07}) = $256,517. 529629 [/tex]
Shadesha will have more money

PLEASE HELP !!

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft³.

(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.

(b) Would the density of the water change if the aquarium was only half full? Explain.

Answers

Part (a)

Let's find the volume of the tank. 

Volume of a rectangular prism = length*width*height
V = L*W*H
V = 3*3*3
V = 27 cubic feet

There is 27 cubic feet of water in the tank if the tank is completely full. Use the fact that
1 cubic foot of water = 62 pounds
so we can convert from volume to weight

(27 cubic feet)*(62 pounds/1 cubic foot) = 27*62 = 1674 pounds

If the tank is completely full, then the water weighs 1674 pounds, which is far greater than the 200 lb max weight limit for the table. The table will fall apart if you place a full aquarium on top of it. Note: this is not including anything else that would go inside the tank such as rocks, plant matter, fish, the glass of the tank itself, etc

In short, the aquarium should not be placed on the table as it exceeds the table's weight limit.

---------------------------------------------------------------------------

Part (b)

The density will not change because the density is how packed in a substance is for any cubic unit of volume. Saying "the density of water is 62 pounds per cubic foot" means that for a cubic foot, water naturally weighs 62 pounds .We can scale this to any size we want and the density will stay the same. 

It's like saying that the fractions 1/2 and 2/4 are the same. The 2/4 is the scaled version of 1/2. So back to the water example, if we had 2 cubic feet of water then it would weigh 2*62 = 124 pounds. So the ratio 
2 cubic feet: 124 pounds
simplifies back to
1 cubic foot: 62 pounds

note: the larger the density, the heavier the object is assuming the volume is held constant

The weight of the water in the cube-shaped aquarium will be 1674 lb, which is much greater than the table's maximum weight capacity of 200 lb. Therefore, the aquarium should not be placed on the table. The density of the water remains constant at 62 lb/ft³ regardless of how much the aquarium is filled.

To determine if the aquarium can be placed on a table with a weight limit of 200 lb, we must first calculate the weight of the water the aquarium will hold. We calculate the volume of the aquarium, then multiply it by the density of water, as the density is given as weight per unit volume (specifically 62 lb/ft³).

The volume (V) of a cube is given by V = side³, so for our aquarium with 3 ft long edges, V = 3³ = 27 ft³. The weight of the water (W) is therefore W = density x volume = 62 lb/ft³ x 27 ft³ = 1674 lb. Since 1674 lb exceeds the table's maximum weight capacity of 200 lb, the aquarium should not be placed on the table.

As for part (b), the density of the water does not change whether the aquarium is full or half full. Density is an intensive property meaning it's independent of the quantity of the substance present. Therefore, whether the aquarium is filled or only half filled, the density of the water remains at 62 lb/ft³.

Please help math question

Answers

After the 3rd payment, the balance is 702.25.

___
A spreadsheet is useful for figuring the result of payments on loans.

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100 -2

2. 1/10 0

3. 1 2

4. 10 1

5. 100 -1

Answers

1. log10 (1/100)=log10 (1/10^2)=log10 10^(-2)=(-2) log10 10=(-2)(1)=-2

2. log10 (1/10)=log10 10^(-1)=(-1) log10 10=(-1)(1)=-1

3. log10 (1)=0

4. log10 (10)=1

5. log10 (100)=log10 (10^2)=(2) log10 10=(2)(1)=2

Answers:
       x            y
1. 1/100      -2
2. 1/10        -1
3. 1              0
4. 10            1
5. 100          2

Answer:

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

1. 1/100  

3

0  

2. 1/10  

1

-2  

3. 100  

2

-1  

4. 1  

5

2  

5. 10  

4

1

WILL GIVE BRAINLIEST
solve for x

A. 70/6
B. 60/16
C. 6
D. 11

Answers

So a line is 180°
Since it gave you options, the easiest way would be to plug it in (plug and chug)
the answer is 11
first what I did was plug 12 into 5x+10 and then found the answer and then added 58°
the answer of that subtracted from 180
with that I then plugged in 11 for x for 11x+2 = 123
180 - 123 = 57 which is the same answer for the missing angle within the triangle


There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box, how many toothpicks will the jumbo box hold? (With work pls)

Answers

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

[tex]xyz=750[/tex]

Similarly we can write for the jumbo box as,

[tex](2x)(2y)(2z)[/tex]

which is equal to [tex]8(xyz)[/tex]

So this is 8 times the original of [tex]xyz[/tex]. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: [tex]8*750=6000[/tex] toothpicks

Answer:

6000

Step-by-step explanation:

One ounce is equal to 28.35 grams. convert 16 ounces to grams round your answe to the nearest tenth

Answers

The amount 16 ounce into grams using the conversion factor 1 ounce = 28.35 grams is 454.2 grams.

To convert ounces to grams, you can use the conversion factor:

1 ounce = 28.35 grams

Now, to convert 16 ounces to grams:

= 16 ounces * 28.35 grams/ounce

= 454.16 grams

Rounding to the nearest tenth:

454.16 grams rounded to the nearest tenth is 454.2 grams.

Therefore, the required quantity is 454.2 grams.

Learn more about Unit Conversion here:

https://brainly.com/question/32030244

#SPJ12

Final answer:

To convert 16 ounces to grams, we multiply 16 by the conversion factor of 1 ounce to grams (28.35). This gives us 453.6 grams, when rounded to the nearest tenth.

Explanation:

To convert ounces to grams, we use the conversion factor 1 oz = 28.35 g. Given that we are converting 16 ounces to grams, we multiply the number of ounces by the conversion factor.

So, 16 oz * 28.35 g/oz = 453.6 g. Rounding to the nearest tenth, the result is 453.6 g.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ3

The equation of a circle is ​ (x+9)2+(y+6)2=225 ​ .



What is the center of the circle?



Enter your answer in the boxes.

(
,
)

Answers

You can read off the coordinates of the center of (x+9)2+(y+6)2=225 directly:  h= -9 and k= -6, so the center is at (-9, -6).

Answer:

[tex](-9,-6)[/tex]

Step-by-step explanation:

We have been given an equation of a circle [tex](x+9)^2+(y+6)^2=225[/tex]. We are asked to find the coordinates of the center of the given circle.

We know that center-radius form of a circle is in format: [tex](x-h)^2+(y-k)^2=r^2[/tex], where,

[tex](h,k)=\text{Center of circle}[/tex],

[tex]r=\text{Radius of circle}[/tex]

Upon comparing our given equation with center-radius form of a circle we will get,

[tex](x-(-9))^2+(y-(-6))^2=15^2[/tex]

Therefore, the center of our given circle is at point [tex](-9,-6)[/tex].

) the supplement of an angle is thirty more than twice the angle. find the measure of the angle and its supplement. answer

Answers

supplementary angle is two angles sharing a 180 degree.

50 x 2 = 100

100 + 30 = 130

130 + 50 = 180

The other angle would be 130 degrees. And the original angle would be 50. 

Celeste wants to have her hair cut and permed and also go to lunch she knows she will need $95. the perm costs twice as much as her haircut and she needs 5$ for lunch. how much does the perm cost

Answers

Let the haircut cost "x" dollars, Then perm costs "2x" dollars, and 5 dollars for lunch. 
now here's the solution: 
x + 2x + 5 = 95
3x = 90 
x = 30 (haircut) 
so 2x = 60 (which is the cost of the perm) 

Hope this helps!


How do you find the base of this triangle? (Picture should be able to be seen)

Answers

the idea being, when you run a perpendicular line to the base, from the right-angle in a right-triangle, like in this case, what you end up with is, three similar triangles, a Large triangle containing the two smaller ones, a Medium triangle and a Small one, check the picture below.

since all three are similar, we can use the proportions on the corresponding sides, as you see in the picture, the base of the triangle then will just be x + y.

Find the volume of the pyramid with height 15 and rectangular base with dimensions 3 and 7.

Answers

the volume of the base is 1.4 how I got the answer is by 3 times 7 that will give you 21 and you do 21 divided by 15 and your answer will be 1.4

When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor.

Answers

Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').

The dilation is therefore:
(x,y) ............> (x',y')

Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky

Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.

Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.

Hope this helps :)

Sample Response: Locate two corresponding ordered pairs of the two shapes. Calculate how much the pre-image values were multiplied by to obtain the image values. This is your scale factor. You can calculate this by dividing the coordinates of the mage by the corresponding coordinates of the pre-image.

A bag contains 10 res marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly two of the five are blue

Answers

One way is to do binomial distribution probability so you can say (5C2) (15/50)^2(1-(15/50))^5-2. This should give you the p(2 yellow)

A wheelchair ramp has a slope of 1 10 . if its rise is 1 5 2 feet, what is its run?

Answers


[tex]slope = \frac{rise}{run} \\ 110 = \frac{152}{run} \\ run \times 110 = 152 \\ run = \frac{152}{110} \\ run = \frac{76}{55} \: \: \: \: or \: \: \: 1.38[/tex]

Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for π.)


CONVERT M INTO CM

Answers

Convert .25 M to 25 cm. Then multiply 3.14 X 5 X 5 X 25 = 1962.5 cubic cm.

The volume of cylinder is 1962.5 [tex]cm^{2}[/tex].

To find the volume of a cylinder.

What is mensuration?

The part of geometry concerned with ascertaining lengths, areas, and volumes. Mensuration deals with the size, region, and density of different forms both 2D and 3D.

Given that:

Radius= 5 cm

Height= 0.25 m=25 cm

π=3.14

By the formula of volume of cylinder

Volume=π[tex]r^{2} h[/tex]

TO put the value,

Volume=3.14*5*5*25

Volume=1962.5 [tex]cm^{2}[/tex]

So, the volume of cylinder is 1962.5 [tex]cm^{2}[/tex].

Learn more about mensuration here:

https://brainly.com/question/10039505

#SPJ5

p(x)= x^3+4x^2-8x-6

a= -2

Answers

Unfortunately, you haven't shared the instructions for this problem.  My guess is that you are to evaluate P(x)= x^3+4x^2-8x-6 for x = a = -2.

If that's the case, then

P(-2) = (-2)^3 + 4(-2)^2 - 8(-2) - 6.  This simplifies to:

         =  -8      +  16 + 16 - 6  = 18 (answer)

I don't know how to do this question, help!!

Answers

60-45 = 15 square meters
3.5 - 2.75 = 0.75 hours

0.75  hours / 15 meters = 0.05 hours per meter




Other Questions
Through which parts of the heart does oxygen poor blood flow Identify two things organisms compete with one for another Which of the inventions do you think would have been the most important for spreading European influence in Africa Which type of heart failure would you suspect with m. k.? explain the pathogenesis of how this type of heart failure develops. include an overview of the disease and it's effects in the u.s. population? . It is your responsibility to do the following for your own protection, EXCEPT:A) Notify your employer if you have a respirator problem B) Ask your employer if you have any respiratory questions C) Keep your respirator clean and in good working condition D) Buy your own respirator if your employer won't fit you for one why would a poster be a poor choice of genre for "How to Prepare for a Road Trip"? Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 left to play games at the fair. Which explanation explains whether Courtney is correct or not? A. Courtney is not correct. Estimation: 22.50 14.25 is about 8. $55 $8 = $47 There was about $47 left for Courtney to spend on games. B. Courtney is correct. Estimation: 22.50 + 14.25 is about 37. $55 $37 = $18 There was about $18 left for Courtney to spend on games. C. Courtney is not correct. Estimation: 22.50 + 14.25 is about 37. $55 + $37 = $92 There was about $92 left for Courtney to spend on games. Question Resources Find the general form of the complete partial fraction decomposition of the integrand. use it to determine whether or not a term of each type listed below occurs in the complete partial fraction decomposition. select true if it does occur and false if it does not. As a new newspaper reporter, Amanda was nervous about doing her first interview with a state senator. She went to a veteran reporter, Clark Webb, for advice. Clark told her the first rule of an interview is to make the person you're interviewing comfortable. Be polite and cheerful. The second rule is to ask open questions. Open questions allow the person you're interviewing to give you more information. "How did you decide to run for office?" is an example of an open question. Third, always try to do more listening than talking. Finally, be sure to thank the person you interview for his or her time. 8. From this paragraph, you can guess that the word veteran means that Clark Webb is the type of leadership that is naturally inheritance is known as What do gandhi's writings suggest about his view of suffering give examples from each document? In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 1 liters below the first, x liters below the second, and x plus 1 liters below the third. How many liters of water can the three containers hold in all? Which statement best explains the difference in character depictions for the two interpretations of the play? A.The Balinese production gives Caliban equal stage-time, whereas the Utah Valley University production has him deliver his lines from offstage. B.In the Balinese production, Caliban speaks in only grunts and laughter, whereas in the Utah Valley University production, he uses the same language as other characters. C.In the Balinese production, Caliban's costume is ordinary clothing, whereas his costume in the Utah Valley University production is minimal and drab. D.The Balinese production depicts Caliban as an animal-like figure, whereas the Utah Valley University production depicts him as a large human with bull's horns. describe how el nino affects the climate When two molecules of methanol (ch3oh) react with oxygen, they combine with three o2 molecules to form two co2 molecules and four h2o molecules. how many h2o molecules are formed when 66 methanol molecules react? Daisy is Augusts dog,who has been sick for awhile.why hasnt August noticed this. the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting recatangle is 126 in2. What was the original side length of the square In processes that produce electricity, some of the energy used is wasted as _____ energy.Select one:a. heatb. chemicalc. kineticd. light When you wash an oily pan, dish soap aids in washing away the oil by surrounding the fat droplets and rinsing them away with the excess water. what similarities does this have to digestion in our bodies? hey can you please help me posted picture of question