1.Which numbers below could be classified as integers? 2.Which number belongs in the shaded portion of the diagram below?

1.Which Numbers Below Could Be Classified As Integers? 2.Which Number Belongs In The Shaded Portion Of
1.Which Numbers Below Could Be Classified As Integers? 2.Which Number Belongs In The Shaded Portion Of

Answers

Answer 1

Answer:

1). Option (3)

2). Option (D)

Step-by-step explanation:

1). Integers are the numbers which are whole numbers with negative or positive notations.

Integers can't be a fraction or a number with decimal.

Out of the numbers given,

-18 and 4 will be the integers

Option (3) is the correct answer.

2). Shaded portion of the diagram represents the rational numbers excluding integers,

By the definition of the rational numbers, any number which can be written as a fraction is a rational number.

Rational numbers → All numbers given are the rational numbers

Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]

Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.

Option (D) will be the answer.


Related Questions

Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.

Answers

Answer:

The errors are;

a. negative 4 to negative 6

b. negative 2 to negative 4

Step-by-step explanation:

The number line is the mathematical representation of numbers in the horizontal line or the x-axis.

The result of the multiplication of a positive 2 and a negative 3 is;

           2 x -3 = -6 ,  gives a negative 6.

So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.

Answer:

the answer is a and c        :)

Step-by-step explanation:

Which mathematical symbol would best fill in the blank to compare the two real numbers?

Answers

Answer:

<

Step-by-step explanation:

If we compare the 2 values

[tex]\sqrt{7}[/tex] ≈ 2.65

[tex]\frac{14}{5}[/tex] = 2.8

Thus we can see that 2.65 is less than 2.8, then

[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]

Someone help thanksss

Answers

Answer:

-9x³(x+3)(x-7)

Step-by-step explanation:

-9x^5+36x^4+189x³=

-9x³(x²-4x-21)=

-9x³(x+3)(x-7)

Graph x≥−1, plz amswer. from khan

Answers

Draw a number line. Plot -1 on the number line and make this a filled in circle. Shade to the right of the filled in circle to indicate the set of values x such that [tex]x \ge -1[/tex]

So x could be -1 or it could be larger. The fact that x = -1 is possible is why we have a closed or filled in circle (instead of an open hole) at this endpoint.

Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).

Answers

Answer:

[tex]\Huge \boxed{3a+4}[/tex]

Step-by-step explanation:

The function is given.

[tex]f(x)=3x+1[/tex]

To find :  [tex]f(a+1)[/tex]

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

[tex]f(a+1)=3(a+1)+1[/tex]

Expand brackets.

[tex]f(a+1)=3a+3+1[/tex]

Simplifying.

[tex]f(a+1)=3a+4[/tex]

Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)=

Answers

Answer:

1/10

Step-by-step explanation:

9/10+(-4/5)

= 9/10-4/5

=9/10-8/10

=1/10

The simplified form of the expression as a fraction is 1/10.

We have,

Expression:

9/10 + (-4/5)

Remove the parenthesis.

9/10 - 4/5

Simplify the fraction.

(9 - 8)/10

1/10

Thus,

The simplified form of the expression is 1/10.

Learn more about expressions here:

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( solving proportions ) solve for x .

Answers

Answer:

Your would need too add and subtract and find the least common multipule

X= 72/5 =14.400

Answer:

14.4

Step-by-step explanation:

By multiplying each side by 9x, you cancel out the denominators on each side. On the left what you have left is 9 x 8. On the right you have 5x. You can figure out the rest of the work for yourself. :)

Which value of n makes the equation true?
-1/2n = -8
A. -16
B.-4
C.4
D.16

Answers

answer: D. 16
if u substitute all the numbers the only one that would be 8=8 would be 16

Answer:

16

Step-by-step explanation:

Lets do a Step-by-step:

You must Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Hope this helps

what's the square root of 57?

Answers

Answer cannot be simplified but u would get 7.549

Answer:

the square root of 57 is 7.549834435

=7.5

Step-by-step explanation:

press square root followed by 57 on your calculator

Simplify (36/81) raised to the power -1/2

Answers

Step-by-step explanation:

Hey, there!!

I hope you mean,

[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]

and

[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]

[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]

[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]

so, the answer is 6/9 or, 2/3.

Hope you are searching this...

The crosssectional areas of triangular prism and a night cylinder are congruent. The triangular prism has a helght of 5 units, and the right cylinder height of 3 unitsconclusion can be made from the given Information? The volume of the prism half the volume of the cylinder The volume of the prism is twice the volume of the cylinder The volume of the premis equal the volume of the cylinder. The volume of the is not equal to the volume of the cylinder

Answers

Answer:

The volume of the triangular prism  is not equal to the volume of the cylinder

Step-by-step explanation:

Given that:

The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.

It was given that:

The triangular prism has a height of 5 units

and the right cylinder height of 3 units

The conclusion that can be drawn from this is that:

The volume of the triangular prism  is not equal to the volume of the cylinder.

This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.

A triangular prism has two triangles at it ends and three rectangular faces.

The volume of the triangular prism is calculate by using the formula:

[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]

On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.

The volume of a cylinder is calculated by using the formula:

V = πr²h

Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh to
pick up 7 more people and drop off 5, and then at Cleveland to pick up 4 more people
and drop off 8, and arrive at Philadelphia 20 hours later. How old is the bus driver?

Answers

If I'm correct im sure I'd be 41

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.

To pick up 7 more people and drop off 5,

So, 43 + 7

= 50 -5

= 45

then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.

= 45 + 4

= 49 - 8

= 41

Therefore, the bus driver is 41 old.

Learn more about the unitary method;

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THE SEVEN APPLEWOMEN
Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140
apples, went to market and sold all their apples at the same price, and each
received the same sum of money. What was the price?

Answers

Answer:

  zero

Step-by-step explanation:

If the same sum is received for the sale of 20 apples at price p as is received for the sale of 140 apples at price p, then we must have ...

  20p = 140p

  120p = 0 . . . . . . subtract 20p

  p = 0 . . . . . . . . . divide by 120

The price was zero.

Answer:

Price was 1 unit of money per each 7 apples and 3 units of money per each extra appleEach woman received 20 unit of money

Step-by-step explanation:

This is the tricky one

I think 'The Seven Apple' is the hint. Let's see what the numbers have to do  with 7:

20 = 7*2 + 640 = 7*5 + 560 = 7*8 + 480 = 7*11 + 3100 = 7*14 + 2120 = 7*17 + 1140 = 7*20 + 0

Assume each '7 apples' sold for a fixed price x and each 'extra' apple sold for a different price y. Since all add up to make same amount, we get:

2x + 6y = 5x + 5y = ... = 20x

Let x = 1, then we get y = 3

So we get the sold price:

20 apples cost: 2*1 + 6*3 = 2040 apples cost: 5*1 + 5*3 = 20...140 apples cost: 20*1 = 20

So each apple woman got 20 units of money for their apples.

Price was 1 unit of money per each 7 and 3 units of money per each extra apple

Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.

Answers

Answer:

(x+2)²=4(y-4)

or y=1/4 (x+2)²+4

Step-by-step explanation:

directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :

(x-h)²=4p(y-k)

vertex(h,k) : the vertex is half way between the focus and the directrix

y(vertex)=y(focus)+directrix/2

y=5+3/2 ⇒8/2=4

x is the same as the c of the focus =-2

vertex (-2,4)

to find the distance (p) which is the distance between the vertex and focus

p=5-4=1

substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)

(x-(-2)²=4(1)(y-4)

(x+2)²=4(y-4)

Type the correct answer in each box. Use numerals instead of words. Consider the equation below. x/h+1=-2 The value of x in terms of h is ___. The value of x when h=4 is ___.

Answers

Answer:

x = -3h

x = -12

Step-by-step explanation:

Given equation is [tex]\frac{x}{h}+1=-2[/tex]

To find the value of x in terms of h we will solve the expression to isolate x on one side of the equation.

by subtracting 1 from both the sides of the equation,

[tex]\frac{x}{h}+1-1=-2-1[/tex]

[tex]\frac{x}{h}=-3[/tex]

Multiplying 'h' on both the sides of the equation,

[tex](\frac{x}{h})\times h = (-3)h[/tex]

x = -3h

If h = 4,

x = (-3)(4)

x = -12

Answer:

x = -3h

Given equation is  

To find the value of x in terms of h we will solve the expression to isolate x on one side of the equation.

by subtracting 1 from both the sides of the equation,

Multiplying 'h' on both the sides of the equation,

x = -3h

If h = 4,

x = (-3)(4)

x = -12

Step-by-step explanation:

7m + 3mn when m = 8 and n = 14

Answers

Answer:

392

Step-by-step explanation:

If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.

[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]

Hope this helped!

Answer:

392 is the correct answer

help me plz and ty....​

Answers

Answer: c

Step-by-step explanation:

Answer: Choice B, upper right corner

The two angles combine to form a straight angle which is 180 degrees. Therefore, the two angles are supplementary.

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison. A bison is 10 miles per hour faster than a deer. A deer is 0.66 miles per hour faster than a bison. A bison is 0.66 miles per hour faster than a deer.

Answers

Answer:

In 1 minute, bison runs 3520 feet

In 60 minutes, the bison would run

3520*60 feet

211200 feet per hour.

These are equivalent to;

40 miles per hour since 1 mile is equivalent to 5280 feet.

The bison is faster by 10 miles per hour

Answer:

A bison is 10 miles per hour faster than a deer.

i took the assignment

Jayden is a waiter at a restaurant. Each day he works, Jayden will make a guaranteed wage of $30, however the additional amount that Jayden earns from tips depends on the number of tables he waits on that day. From past experience, Jayden noticed that he will get about $14 in tips for each table he waits on. How much would Jayden expect to earn in a day on which he waits on 16 tables? How much would Jayden expect to make in a day when waiting on

Answers

Answer:

$254

$30 + $14x

Step-by-step explanation:

Jayden:

Guaranteed wage= $30

Tips per table = $14

Number of tables = 16

Total revenue = fixed revenue + variable revenue

Fixed revenue= $30

Variable revenue change with quantity= $14 × number of tables Jayden waits on

Total earnings of Jayden for the day = $30 + $14(16)

= $30 + $224

= $254

When Jayden waits on x number of tables

Total earnings of Jayden for the day = $30 + $14(x)

= $30 + $14x

Where x = number of tables Jayden waits on

Answer:

$254

30 + 14t

Step-by-step explanation:

The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?

Answers

Answer:

The base is 16 cm long.

Step-by-step explanation:

A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.

A = 1/2 * bh

32 = 1/2 * b * 4

32 = 2b

b = 16cm

there are 8 knives and 12 forks in a package of plastic utensils. Which ratio is equivelent to 8/12?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you divide [tex]\frac{8}{12}[/tex] by 4 (both numerator and denominator)

You get [tex]\frac{2}{3}[/tex] which is equivalent to the given ration

Write 1/64 as an expression with a negative exponent other than -1.

Answers

Answer:

[tex]8^{-2}[/tex]

Step-by-step explanation:

Remember, if there is a negative within the power sign, you must put the power and base under 1:

8^-2 = 1/(8^2).

Simplify:

1/(8^2) = 1/(8 * 8) = 1/(64)

1/64 = 1/64, ∴ [tex]8^{-2} = 1/64[/tex]

What word also means to put or replace a variable with a number?

Answers

Answer:

Hey there!

Substitute would be your answer.

Let me know if this helps :)

the answer is substitute!

Evaluate -1 -3- (-9) + (-5).

Answers

Answer:

The evaluated answer to the given expression is 0.

Step-by-step explanation:

-1 - 3 - (-9) + (-5)

Subtract -1 from 3.

-4 - (-9) + (-5)

Distribute the negative to -4.

-4 + 9 + (-5)

Add 9 to -4.

5 + (-5)

Add 5 to -5.

0

Find the midpoint of the line segment joining the points R(3,2) and S(-5,5).

Answers

The x coordinates are 3 and -5. They add to 3+(-5) = -2

Cut this in half to get -2/2 = -1

The x coordinate of the midpoint is x = -1

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

The y coordinates are 2 and 5. They add to 2+5 = 7.

Then we cut this in half to get 7/2 = 3.5

The y coordinate of the midpoint is y = 3.5

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

Overall, the midpoint is (-1, 3.5)

Answer: (-1, 3.5) which is the same as (-1, 7/2)

An object in geometry with no width, length or height is an:

A. Point
B. Line
C. Ray
D. Angle

Answers

Answer:

A. Point

Step-by-step explanation:

It has no size.  It tells about the location only.

Answer:

A. Point

Step-by-step explanation:

A point is a zero- dimensional object as it has no length, width, or height. It also has no size and tells about location only.

Jimmy has 2 times as many twenty-five paisa coin as fifty-paisa coins . If he has total of Rs. 3.00, how many coins of each kind does he have ? Please answer will mark you the brainest!

Answers

Answer:

x = 6

y = 3

6 twenty-five paisa coin

3 fifty-paisa coins

Step-by-step explanation:

x -----> twenty-five paisa coin

y -----> fifty-paisa coins

0.25x + 0.5y = 3.00        per 100

x = 2y

25x + 50y = 300

x = 2y

25(2y) + 50y = 300

50y + 50y = 300

100y = 300

y = 300/100

y = 3

x = 2y

x = 2(3)

x = 6

You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?

Answers

Answer:

Regular price for 1 ticket = $30

Step-by-step explanation:

Given that a total of 4 people went to the carnival.

Total bill for the tickets = $100

Discount coupon used = $20

To find:

Cost of Regular price ticket = ?

Solution:

First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.

If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon

Regular price for 4 tickets = 100 + 20 = $120

So, regular price for 1 ticket = Regular price of 4 tickets divided by 4

[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]

So, the answer is:

Regular price for 1 ticket = $30

Three Bears
In the land of Plentiful Honey, lived three bears: Papa
Bear, Mama Bear and Baby Bear. They had three pots
of honey: one large, one medium, and one small. One
day they found themselves carrying the pots of honey
down a path. Papa was carrying the medium pot, while
Mama was carrying the small pot, and Baby was
carrying the large pot. This was clearly inequitable and they decided to trade pots, so that
each was proportional to the size of the bear. It may seem there is a simple solution to their
dilemma, however, the rules for transferring pots in the land of Plentiful Honey are quite
complicated. They are:
a) Only one pot of honey can be passed at a time.
b) fa bear is holding two pots of honey, only the smaller pot may be transferred.
• A honey pot may not be transferred to a bear that is holding a smaller pot.
d) Pots may not be set on anything, such as the ground or a stump.
Diagram or explain the sequence of the transferring of honey pots, so that Papa Bear has the
large pot, Mama Bear the medium pot, and Baby Bear the small pot.

Answers

Answer:

  m→B, s→P, m→M, s→M, l→P, s→B

Step-by-step explanation:

The initial state is ...

  (Baby, Mama, Papa) = (Large, Small, Medium)

The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.

Transfer the medium pot to Baby.

  (B, M, P) = ({L, M}, S, –)

Transfer the small pot to Papa.

  (B, M, P} = ({L, M} –, S)

Transfer the medium pot to Mama.

  (B, M, P) = (L, M, S)

Transfer the small pot to Mama.

  (B, M, P) = (L, {M, S}, –)

Transfer the large pot to Papa.

  (B, M, P) = (–, {M, S}, L)

Transfer the small pot to Baby.

  (B, M, P) = (S, M, L) . . . . . . desired end condition

Question 4
20 pts
Graph the points X(-4,5) and Y(1,-1) on the coordinate plane. What type of
slope would the segment XY have?
O positive slope
O undefined slope
O negative slope
O zero slope

Answers

Answer:

Negative slope Hopefully

Step-by-step explanation:

Slope formula : (5 - (-1)) / (-4 - 1)

6/-5 = a negative slope

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