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

#SPJ1


Related Questions

A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)​

Answers

Answer: 9.82 cm

Step-by-step explanation:

Ella builds a rectangular sandcastle with a length of 41 inches and a width of 32 inches. What is the perimeter of her sandcastle?

Answers

Answer: [tex]146\ in.[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular sandcastle is

length [tex]l=41\ in.[/tex]

width [tex]w=32\ in.[/tex]

Perimeter is the sum of the sides of rectangle

[tex]\therefore\ \text{Perimeter= }2\left(l+w\right)\\\Rightarrow \text{Perimeter= }2(41+32)\\\Rightarrow \text{Perimeter= }2\times 73\\\Rightarrow \text{Perimeter= }146\ in.[/tex]

PLEASE HELPPP! TWO DIFFERENT GRAPHS, TWO DIFFERENT QUESTIONS,


#1 Which statement is true? Select all that apply. (There are multiple correct answers, select ALL.) + (This is for the SUBMARINE graph.)


A: The relationship is proportional.

B: The slope is -6.

C: The slope is negative.

D: The y-intercept is -3.

E: The equation of the line is y=-3x


#2 PART A: What is the slope of the line? (Only one is correct.) + (This is for the water in the sink graph)

m = 2

m = -2

m = 1/2

m = -1/2


#2 PART B: Connor says the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct? (Yes or no)

Answers

Answer:

I am not 100%

#1 = C,D,E

#2 = 1/2

Triangle ABC is similar to triangle MNP.
15 POINTSSS!

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangles are similar, therefore their sides will be proportional.

[tex] \dfrac{7.5}{x} = \dfrac{6}{4} [/tex]

[tex]7.5 \times 4 = 6x[/tex]

[tex]x = \dfrac{30}{6} [/tex]

[tex]x = 5 \: \: cm[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

b .5 is the correct answer

helppppp make your answers clear

Answers

Answer:

189 yd²

Step-by-step explanation:

so in a prism, there are total 5 surfaces;

3 rectangular(all of same size)

2 triangular (of same sizes too)

so the area of trangle = 1/2× base × height = 1/2 × 6× 4 = 12yd²

for two triangles, Area= 24 yd²

area of a rectangle= length× breadth = 11× 5 = 55yd²

for three rectangles, area= 165yd²

now you add them

total surface area = 24+ 165= 189yd²

Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive

Answers

Answer:

800

Step-by-step explanation:

w is directly proportional to y
w is inversely proportional to x?
(a) When y = 4, w = 14
Work out the value of w when y = 9

Answers

Answer:

w=31.5

Step-by-step explanation:

w proportional to y

w=ky

k is a constant

k=w/y

w1/y1=w2/y2

w1=14,w2=?,y1=4,y2=9

14/4=w/9

cross multiply and divide by 4

w=14×9/4

w=31.5

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:

1. attendee = x

2. cost = y

3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result

4. Thus, y = 2x

.. Solve using substitution.
2x - 5y = 12
x = -9

Answers

Answer:

2x–5y = 12

2(–9)–5y = 12

–18–5y=12

–5y=12+18

–5y=30

y= –30/5

y= – 6

(x,y) —> (–9,–6)

NEED HELP HERE PLEASE!! π∆π

Give the value of the six trigonometric ratios in the figure.​

Answers

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=3/5

sin theta=0.60

theta=sin 37 degree

therefore the value of theta is 37 degree.

Is there any one who Know ' KRIS WU'
is there anyone who is the fan of Kris Wu.
Kris' picture is attached above.​

Answers

Yeah, the ex member of Exo.

I have watched his movie

Never Gone

Quadrilateral ABCD is translated 5 units right. What are the coordinates of quadrilateral

Answers

Answer:

it should be C sry if I'm wrong <3

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

WILL GIVE BRAINLIEST IF RIGHT IG....PLEASE get it RIGHT....
find the volume of a cone with a diameter of 12m and a height of 8m.
ANSWER CHOICES
oA. 96m^3
oB. 384 pi m^3
oC. 96 pi m^3
oD. 288 pi m^3

Answers

Answer:

V = 96 pi m^3

Step-by-step explanation:

V = (1/3) pi(r^2)h

Radius = 1/2(Diameter)

R = 1/2(12)

R = 6

Input.  

V = (1/3) pi(6^2)8

Solve.

V = (1/3) pi(36)8

V = (1/3) 904.32

V = 301.44

V = 301.44/pi

V = 96 pi m^3

Answer:

The correct answer is option (C) 96π m³.

Step-by-step explanation:

As per given question we have provided that :

Diameter = 12 mRadius = 12/2 = 6 mHeight = 8 m

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

➝ V = Volume➝ π = 22/7➝ r = radius➝ h = height

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cone is 96π m³.

[tex]\rule{300}{2.5}[/tex]

What is the measure of BA (the minor arc) in the diagram below?
D
B
72"
A
C
A. 1440
B. 216°
C. 36°
D. 72°
helppp plsss

Answers

Answer:

144

Step-by-step explanation:

you have to use this formula

m CBA>= a

BA ( =2a

CBA>=72

BA )=72×2

hopefully its helpful

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc AB, then

arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A

The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct a boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side "whisker"? * 2 points 53 35 55 33 45

Answers

Answer:

33

Step-by-step explanation:

Values beyond the whiskers of the boxplot are called the outliers :

For a right side Outlier :

Values > Q3 ± 1.5(IQR) ;

IQR = Q3 - Q1)

From the data given:

IQR = (40 - 18) = 22

Hence ; the maximum value of right side whisker will be :

1.5(22) = 33

The maximum possible length of the right-side "whisker" is 33

The given parameters are:

Min = 15Q1 = 18Median = 20Q3 = 40Max = 75

Start by calculating the interquartile range (IQR) using:

[tex]IQR = Q3 -Q1[/tex]

So, we have

[tex]IQR = 40 - 18[/tex]

[tex]IQR = 22[/tex]

The maximum possible length of the right side whisker is then calculated as:

[tex]L = 1.5 \times IQR[/tex]

This gives

[tex]L = 1.5 \times 22[/tex]

Multiply 1.5 by 22

[tex]L = 33[/tex]

Hence, the maximum possible length of the right-side "whisker" is 33

Read more about box and whisker plots at:

https://brainly.com/question/3293067

4) 9i(5) + 5i(3)– 10i​

Answers

Answer:

50i

Step-by-step explanation:

32000 )
bill there
13. Express each of the following recurring decimals as a fraction in its simplest
form
a) 0.8333
b) 0.373737
C) 0.321

Answers

GIVEN: The decimal numbers are given.

TO FIND: We need to find the fractions.

SOLUTION:

a) The decimal form is 0.8333

[tex]\frac{8333}{10000}\\[/tex]

b)The decimal form is 0.373737

[tex]\frac{373737}{1000000}[/tex]

c)The decimal form is 0.321

[tex]\frac{321}{1000}[/tex]

How does a credit card company calculate finance charges on a credit card?

Answers

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 . Mortgages also carry finance charges.

There are 150 students at the zoo. 90 of the students visited the gorilla
exhibit. What percent of the students visited the gorilla exhibit? *

Answers

Divide the number that visited the gorilla by the total students at the zoo then multiply by 100

90/150 = 0.6

0.6 x 109 = 60%

The answer is 60%

[tex] \frac{is}{of} = \frac{x}{100} [/tex]

[tex] \frac{150}{90} = \frac{x}{100} [/tex]

150 × 100 = 15,000

90x = 15,000

90 ÷ 90 = 1

15,000 ÷ 90 = 166.6%

I don’t know of the problem wants you to round but the percent would be either 166.6% or 167% (if rounded).

A rectangle is 21 meters long and 11 meters wide.

What is the perimeter of this rectangle?


32 m

42 m

64 m

84 m

Answers

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w) for a rectangle

Substitute in the length and the width

P = 2( 21+11)

P = 2( 32)

P = 64 meters

Answer:

P = 2(l+w)

= 2 ( 21+11)

= 2(32)

= 64m

Solve
Please help
r/20 - 3 = -2

Answers

Answer:

r=30

Step-by-step explanation:

r/30=-2+3

r/30=1

r=1×30

r=30

⟰ ANSWER ⟰

U R ANS IS IN THE PIC !

HOPE IT HELPS U !!!!!(:

ANOTHER THING I NEED HELP ON AGAIN!!’

Answers

Answer:

2.5, 16,3,32

Step-by-step explanation:

Find the period of an electromagnetic wave of wavelength 2.20 × 10–2 m. A. 1.36 × 1010 s c. 7.33 × 10–11 s b. 4.54 × 101 s d. 6.60 × 106 s

Answers

Answer:

7.33 * 10^-11 s

Step-by-step explanation:

Period, T = 1 / f

c = fλ

λ = 2.20 × 10^–2 m

c = speed of light = 3 * 10^8 m

f = c / λ

f = 3 * 10^8 ÷ 2.20 × 10^–2 m

f = (3/2.2) * 10^(8-(-2))

f = 1.364 * 10^10

T = 1/f

T = 1 / 1.364 * 10^10

T = 7.33 * 10^-11 s

Given the equation: ( x + 3)2 + ( y - 4)2 = 25

1. Center: ( , ) ??

2. Radius: ??

3. Diameter: ??

Answers

Answer:

See below

Step-by-step explanation:

Center:   (-3, 4)

radius = r = [tex]\sqrt{25}[/tex] = 5

diameter = 2r = 10

Answer:

Center= (3,-4)   Radius=5   Diameter=10

Step-by-step explanation:

The numbers (3,-4) are the coordinates in the center of a circle. The radius is squared to get the end number so to get the radius, you have to find its square root- [tex]\sqrt{25[/tex] =5. The diameter is 2 times bigger than the radius so 5 times 2= 10.

A function with a input of 4 has an output of 10. Which following could not be the function equation?
y=14-x
y=x+6
y=2x+3
y=(2.5) x

Answers

The answer should be y=2x+3

PLEASEEEE help I will give you BRAINLEST

Answers

Y= x+6

I hope you pass

Answer:

y=2x+3

Step-by-step explanation:

mean absolute deviation of 50 51 56 59

Answers

i think it’s 3.5

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. A pool is made up of 3 rectangles. One rectangle has a base of 10 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. The bottom surface of the pool is flat and needs new tile. If each tile covers StartFraction 1 Over 9 EndFraction of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool? $1,500 $4,500 $10,800 $13,500

Answers

Answer:

So its just 4,500 yw

Step-by-step explanation:

4,500 so b i think                                              

The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?

Answers

Answer:

width is 2√33 cm

Step-by-step explanation:

you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.

use Pythagorean Th.

14² = 8² + x²

x² = 14² -8²

x² = 132

x = √132 = 2√33

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