Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one classification. 1. -98 2. 1.98 3. 1270 4. 1,232,323

Answers

Answer 1
Answer:
1). -98 (integer, real number, rational)
2). 1.98 (real, rational)
3). 1270 (whole, real, integer, rational)
4). 1,232,323 (whole, real, integer, rational)

Related Questions

Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. How much money will Marco have left after he buys these clothes?

Answers

Answer:

$1.36

Step-by-step explanation:

First, add together the prices of all the clothes:

18.28 + 42.39 + 12.97

= 73.64

Then, subtract this from 75:

75 - 73.64

= 1.36

So, he will have $1.36 left after buying the clothes

The money Marco have left after he buys his clothes is $1.36.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Marco has $75 to spend on new clothes for a job interview.

Let the money left after he purchase his clothes be x.

Cost of shirt=$18.28, cost of pants=$42.39 and cost of tie =$12.97

Now, x=75-(18.28+42.39+12.97)

x= 75-73.64

x= $1.36

Therefore, the money Marco have left after he buys his clothes is $1.36.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Mr Tom shared $300 between his two sons aged 15 years and 10 years in
the ratio of their ages. Calculate the amount of money each boy received.

Answers

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

   25          300

   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

Son of 15 years $180

Son of 10 years $120

Which equation represents a line that is parallel to Y equals negative 4X +3 and passes through the point (-3,2)

The picture is the answers.
Please help

Answers

Answer:

Hey there!

A line parallel to y=-4x+3 would have a slope of -4.

Point slope form: y-2=-4(x+3)

Simplify: y=-4x-10

Let me know if this helps :)

Answer:

A

Step-by-step explanation:

So we want an equation that is parallel to:

[tex]y=-4x+3[/tex]

And passes through:

[tex](-3,2)[/tex]

First, since we want the equation to be parallel to the first, the slope must be -4. This is because parallel lines have the same slope.

Now that we know the slope of our equation is -4, we can use the point-slope form to figure out the rest.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is -4. Let (-3,2) be x₁ and y₁. Thus:

[tex]y-2=-4(x--3)[/tex]

Simplify:

[tex]y-2=-4(x+3)[/tex]

Distribute:

[tex]y-2=-4x-12[/tex]

Add 2 to both sides:

[tex]y=-4x-10[/tex]

So our answer is A :)

Q is between P and R. PR=145,PQ=8x & QR=11x-7. What is the value of QR?

Answers

Answer:

QR = 81

Step-by-step explanation:

PR = 145

= PQ + QR

= (8x) + (11x - 7)

8x + 11x - 7 = 145

19x = 145 + 7

19x = 152

x = 8

substitute x=8 into QR:

11(8) - 7 = 81

-42=4v-18 Solve each equation

Answers

Answer:

v=6

Step-by-step explanation:

-42=4v-18

Add 18 to each side

-42+18=4v-18+18

-24 = 4v

divide each side by 4

-24/4 = 4v/4

-6 = v

Answer:

v = -6

Step-by-step explanation:

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 18 to both sides:

-42 (+18) = 4v - 18 (+18)

-42 + 18 = 4v

4v = 18 - 42

4v = -24

Next, divide 4 from both sides:

(4v)/4 = (-24)/4

v = -24/4

v = -6

v = -6 is your answer.

~

If a classroom has 7 students with black hair and there are 24 students in the
class, what percentage of the students have black hair? (Round your answer to
the nearest tenth of a percent)

Answers

Answer:

  29.2%

Step-by-step explanation:

The fraction of students with black hair is 7/24. To convert that to a percentage, multiply by 100%.

 7/24×100% = 29.1666(repeating)% ≈ 29.2%

Write the phrase as an algebraic expression. A number plus six and three tenths. PLEASE HEEELP

Answers

Answer:

n + 6(3/10)

Step-by-step explanation:

6(3/10) is written as a mixed number

Answer:

x+6.3

Step-by-step explanation:

x+6.3

Jaylon has a wrench labeled 0.1875 inch and bolts
labeled in fractions of an inch. Which size bolt will
best fit the wrench? Explain.

Answers

Answer: 3/16

Step-by-step explanation:

- you divide 3/16 which gets you to the answer of 0.1875

A fraction is a way to describe a part of a whole. The size of the bolt that will best fit in the wrench is 3/16 inches.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Jaylon has a wrench labeled 0.1875 inch and bolts labeled in fractions of an inch.

Now, the size of the bolt that will best fit in the wrench will be the bolt of size same as the wrench. Therefore, if we rewrite the size of the wrench it will be,

Size of the bolt = Size of the wrench

                         = 0.1875 inches

                         = 1875/10000 inches

Divide both the numerator and the denominator by 625

                         = 3/16 inches

Hence, the size of the bolt that will best fit in the wrench is 3/16 inches.

Learn more about Fraction here:

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Select the correct answer from the drop-dov
Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14,, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by

Answers

Answer: The sample mean is more than the population mean by 3.5

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

Explanation:

To get the population mean, first add up all the population values

4+6+7+11+12+18+26+23+14+31+22+12 = 186

Then divide that over 12 as there are 12 values in the population

186/12 = 15.5

The population mean is 15.5

----------

The sample mean is computed the same way

add the values = 11+31+22+12 = 76

Divide the sum by 4 = 76/4 = 19

The sample mean is 19

The sample mean is larger by 19 - 15.5 = 3.5

A package of 3 pairs of insulated gloves cost $15.87. What is the unit price of pairs of gloves?

Answers

Answer:

The correct answer is $5,29

Step-by-step explanation:

The unit price helps us determine the price for a single unit of something that has been purchased in a group.

In this case we have a package of 5 pairs of insulated gloves, which includes 5 pairs and costs 29.45.

We want to know what the unit price is, that is, how much does a single pair of gloves cost.

To determine this we simply divide the total price by the number of gloves:

29.45 / 5 = 5.29

In this way we can confirm that the unit price of a pair of insulated gloves is $ 5.29.

Answer:

Each pair of gloves is $5.29

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?

Answers

Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

please someone help me to prove this. ​

Answers

Step-by-step explanation:

8 cos 80° cos 140° cos 160°

4 (2 cos 80° cos 140°) cos 160°

4 cos 160° (2 cos 80° cos 140°)

Use product to sum formula.

4 cos 160° (cos 60° + cos 220°)

4 cos 160° (½ + cos 220°)

2 cos 160° + 4 cos 220° cos 160°

2 cos 160° + 2 (2 cos 220° cos 160°)

Use product to sum formula again.

2 cos 160° + 2 (cos 60° + cos 380°)

2 cos 160° + 2 (½ + cos 380°)

2 cos 160° + 1 + 2 cos 380°

2 cos 160° + 1 + 2 cos 20°

Use shift identity cos(180 − θ) = -cos θ.

-2 cos 20° + 1 + 2 cos 20°

1

Our question that we have at hand here is 8(cos 80°)(cos 140°)(cos 160°). We need to convert that into 'decimal form' to prove that it equals 1. However decimal form doesn't generally give us a decimal, in this case.

Let's start by using the identity cos(s)cos(t) = cos(s + t) + cos(s - t) / 2. In this case we are looking particularly at the expression (cos 80°)(cos 140°), where s = 80, and t = 140.

[tex]\cos \left(80^{\circ \:}\right)\cos \left(140^{\circ \:}\right)=\frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}[/tex]

[tex]=8\cdot \frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}\cos \left(160^{\circ \:}\right)[/tex]

[tex]= 4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\cos \left(-60^{\circ \:}\right)\right)[/tex]

To further simplify this expression, we know that cos(- 60°) = cos(60°). This may not seem like a very effective step, but we can apply a few trivial identities here. Remember that cos(60°) = 1 / 2,

[tex]4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\frac{1}{2}\right)[/tex]

[tex]= 4(0.25)\\= 1[/tex]

And hence we proved that 8(cos 80°)(cos 140°)(cos 160°) in decimal form, = 1.

Find The Cube Root Of The Following: 1. 42875 2. 74088 3. 274625

Answers

Answer:

1 is 35 and 2 is 42 and 3 i think is 65

Step-by-step explanation:

Answer:

1. 42875 cube root is expresed as [tex]\sqrt[3]{42875}[/tex] = 35

2. 74088 cube root is expresed as [tex]\sqrt[3]{74088}[/tex] = 42

3. 274625cube root is expresed as [tex]\sqrt[3]{274625}[/tex] = 65

Line, Line Segment, Ray...
A) are two - dimensional
B) have no dimension
C) are three-dimensional
D) are one dimensional

Answers

Answer:

A

Step-by-step explanation:

They are all straight paths with end points but a line is never ending  but it is still two dimensional

Answer:

D - Are One dimensional

Step-by-step explanation:

Line , Line segments and Ray's are all one dimensional objects

22.34÷3 please help​

Answers

Respuesta es 7.4466666667

The asnwer is 7.4466666667

Answer:

7.45 is the answer if u round it up it equals to this

Evan's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 9 caffeinated teas and 6 decaffeinated teas. What percentage of the teas served were caffeinated?

Answers

Answer:

Step-by-step explanation:

9 + 6 = 15caffeinated/all types of teas = x/100 = [tex]\frac{9}{15} = \frac{x}{100}[/tex]  Cross multiply and divide to find the percentage: 9 × 100 = 900,         900 ÷ 15 = 60Put 60 as the numerator: 60/100Convert to percentage: 60%

You're done!

If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.

Answer:

60%

Step-by-step explanation:

14. Simplify 4+ (-3) - 2 x (-6)
O A. 13
O B. 12
C.-11
O D. -10

Answers

Answer:

13

Step-by-step explanation:

1-2×(-6)=

1-(-12)=

1+12=13

find the distance between the 2 points on the graph.
HELPPPP

Answers

Answer:

6^2 + 3^2 = sqrt 45

the answer is the sqrt of 45

Step-by-step explanation:

Answer:

[tex] 3\sqrt{5} [/tex]

Step-by-step explanation:

Use the distance formula and the coordinates of the points.

The upper left point is (-5, 3).

The lower right point is (-2, -3)

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-2 - (-5))^2 + (-3 -3)^2} [/tex]

[tex] d = \sqrt{3^2 + (-6)^2} [/tex]

[tex] d = \sqrt{9 + 36} [/tex]

[tex] d = \sqrt{45} [/tex]

[tex] d = \sqrt{9 \times 5} [/tex]

[tex] d = 3\sqrt{5} [/tex]

Please help me solve this geometry proof problem with detailed steps!

Answers

Step-by-step explanation:

in triangle pqr and trs

statement reason

1. pr=rt ( s ) 1. given

2. angle prq = angle srt (a) 2. vertically opposite angle

3. rq = sr ( s ) 3 .given

4 triangle pqr ~= triangle trs 4. by SAS axiom/fact

5. pq = st 5. from statement 4

6. pq\\st 6. from statement 5

proved

Use the discriminant to describe the roots of each equation. Then select the best description.
X^2-4x+4=0

Answers

x^2-4x+4=0

now;

x^2-4x=0-4

x^2-4x=-4

x(x-4)=-4

x^2-4x+4

Please crate and answer your own rate or ratio word problem :-) help plz

Answers

Answer:

I went on a train trip and traveled 250 miles in 2 hours.

What is the train's rate of speed in miles per hour?

Answer: divide the number of miles by the time in hours.

rate of speed = (250 miles)/(2 hours) = 125 miles per hour

multiply:

(-4 + i)(-1 + 5i)

Answers

Answer:

[tex]( - 4 + i) ( - 1 + 5i) \\ = 4 - 20i - 1i + 5 {i}^{2} \\ = 4 - ( -21i )+ 5i {}^{2} [/tex]

PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.

Given the values of exponential function g below, what is g(3)?
g(0) = 60.4
g(1) = 30.2
g(2) = 15.1
O A.
3.775
OB. 7.55
OC.
8.0
D.
14.6

Answers

Answer:

14.6

Step-by-step explanation:

Luis deposited $300 into his bank account. He now has $4,511. Enter and solve an equation to find how much was in his account before the deposit. Let a represent the variable.

Answers

4,511 - 300 = 4,211 $ was originally in his bank account

what is the image of (-2, 3) after a rotation of a 180° counterclockwise?​

Answers

Answer:

-3,2

Step-by-step explanation:

just flip the minus and plus

Answer:

-3,2

Step-by-step explanation:

you just rotate it 180 degrees on counterclockwise and it land on area 4

[tex]\sqrt{24n^3}[/tex] (simplify radical) please show work

Answers

Answer:

The answer is

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24 {n}^{3} } [/tex]

First of all factor out the perfect square out.

In this question the perfect squares are 4 and x²

So we have

[tex] \sqrt{4 \times {n}^{2} \times 6n} [/tex]

Separate the radicals

That's

[tex] \sqrt{4} \times \sqrt{ {n}^{2} } \times \sqrt{6n} [/tex]

Simplify

[tex] \sqrt{4} = 2 \\ \sqrt{ {n}^{2} } = n[/tex]

So we have

[tex]2 \times n \times \sqrt{6n} [/tex]

We have the final answer as

[tex]2n \sqrt{6n} [/tex]

Hope this helps

Answer:

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24n {}^{3} } [/tex]

Factor out the perfect square ⬜

[tex] \sqrt{2 {}^{2} } \times 6 {n}^{3} [/tex]

[tex] \sqrt{ {2}^{2} } \times 6n {}^{2} \times n[/tex]

Please the square root is for the entire formula ⬆️⬆️⬆️

the root of the product is equals to the root of each Factor

[tex] \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} [/tex]

reduce the index of the radical and exponent with 2

[tex]2 \sqrt{n {}^{2} } \sqrt{6n} [/tex]

[tex]2n \sqrt{6n} [/tex]

Solution

2n square root 6n

[tex]2n \sqrt{6n} [/tex]

Hope this helps.....

A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing​ field?

Answers

Answer:

w = 57.5 yards

l = 169.5 yards

Step-by-step explanation:

P = 2w + 2l

466 = 2w + 2l

l = 3w - 3

466 = 2w + 2(3w - 3)

466 = 2w + 6w - 6

466 - 6 = 8w

8w = 460

w = 460 : 8

w = 57.5 yards

l = 3w - 3

= 3×57.5 - 3

= 169.5

l = 169.5 yards

A=1/2(a+b)h, solve for h?​

Answers

Multiply both sides 2
2A=(A+B)H
Divide both sides by (A+B)
H=2A/(A+B)

Answer:

[tex]\huge \boxed{h=\frac{2A}{a+b} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle A=\frac{1}{2} \cdot (a+b) \cdot h[/tex]

Multiplying both sides by 2:

[tex]2A=(a+b) \cdot h[/tex]

Dividing both sides by (a + b):

[tex]\displaystyle \frac{2A}{a+b} =h[/tex]

[tex]\rule[225]{225}{2}[/tex]

3 ( 2x + 5 ) = 19 + 16

Answers

Answer:

x=10/3 or x=3 1/3

(Same thing)

Step-by-step explanation:

First, we distribute the 3 to 2x and 5:

6x+15=19+16

6x=20

x=20/6

x=10/3

x=3 1/3

A cyclist rides 250 meters in 1 minute. Find the speed in km/hr.​

Answers

Answer:

250 meters/min = 15 km/hr

Step-by-step explanation:

The approximate number to divide from is 16.667. Divide the speed value by 16.667

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