Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2​

Answers

Answer 1

The number line inequality will be true for the following condition given in this problem:

When a = 0 and c = -8.

How are real numbers represented on a number line?

On a number line, real numbers increase from left to right, meaning that:

Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.

For this problem, the inequality is:

c > b > a.

Which means that:

c is to the left of b.b is to the left of a.

We have that b < -1, hence:

c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...

Then the conditions that make the statement b < -1 true are given as follows:

When a = 0 and c = -8.

More can be learned about number line inequalities at https://brainly.com/question/24372553

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Related Questions

A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?​

Answers

Answer:

She swims 9m in one second

Step-by-step explanation:

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

simplify
√(8+2√15)

Please hurry

Answers

Decimal form is 3.96811878

To get the x and the y

Answers

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

pleaseeeee helppppp!!!!! I have to turn this in...!!!

Answers

hope this helps ---------

Find two numbers that multiply to be -18 and add up to be -7

Answers

It’s (-9,2) or (-2,9)

Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x​

Answers

i pray for you i hated this section and i wish i could help you:( the app photo math helped me!

hey! i’ll give brainliest please help

Answers

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

Answers

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

Calculate the area of the figure.

HELP

Answers

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

The diameter of a foot ball is 12cm ?find itsvolume​

Answers

Answer:

288 [tex]\pi[/tex] cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³

= 4/ 3 × [tex]\pi[/tex] × 216

= ( 864 [tex]\pi[/tex])/ 3

= 288 [tex]\pi[/tex] cm³

Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.

Answers

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

hey! please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of

students in the entire class.

Answers

Answer:

20

Step-by-step explanation:

Do 15 divided by 0.75

a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe​

Answers

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

seth put $500 in his savings account, which earns a earns a simple interest rate of 4%

A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years

Someone help me out :)

Answers

Answer:  sorry i dont know this

Step-by-step explanation:

The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10

1. What is the MEAN age of the children in your neighborhood playschool?​

Answers

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

Determine the surface area of the cylinder in terms of π.




602π cm2602π cm2

812π cm2812π cm2

308π cm2308π cm2

518 cm2

Answers

168pi cm2

Explanation: sa= 2pi (r^2) + 2pi (r)h Diameter is 8cm so radius is 4cm

Sa=2pi(4^2)+ 2pi(4) 17

Sa= 32pi + 136pi

Sa= 168 pi 2cm

Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%

Answers

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE


You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.


Determine whether the sample is biased or unbiased.

Answers

Answer:

BRO I HAVE THE SAME QUESTION FOR MY TEST....

ITS BIASED IM REALLLLY SURE

Step-by-step explanation:

Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)

Answers

I think that the answer is d

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Why did the robber take a bath

Answers

Answer:

To make a "clean getaway"

Step-by-step explanation:

haha, nice one :D

a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings​

Answers

The length of a chord which is 24cm from the Centre is: 14 cm

How to find the length of the chord?

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

Read more about Length of Chord at; https://brainly.com/question/30804688

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ILL GIVE YOU BRAINLIEST!!

Answers

Answer:

10[tex]\pi[/tex]

Step-by-step explanation:

Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]

= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]

= [tex]10\pi[/tex]

Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?

Answers

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

HELP ASAP, i don't get this

Answers

I think they want you to write out Pythagorean’s theorem since it’s a right triangle and the formula is c^2=a^+b^2. So the first box would be 8 (so the c) and 5 would be the next box (so the a). You can sketch the right triangle and see that the length 8 is the hypotenuse and 5 is one of the lengths.

The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games

Answers

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?

Answers

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

 

What is the volume of the figure?

Answers

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

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