Which statements are true?

Select each correct answer.


Since −6 is 6 units to the left of 0, |−6|=6 .

The absolute value of −6 is negative.

The absolute value of −6 is less than the absolute value of 6.

​ −6 ​ is closer to zero on the number line than ​ −7 ​ , so |−6|<|−7| .

Answers

Answer 1

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).


Related Questions

The Nguyen family is traveling cross-country, driving 300 miles each day. Let 2 represent the number of days in the trip and let y represent the total number
of miles driven.
Write an equation to model their trip.
Enter the correct equation in the box.

Answers

Step-by-step explanation:

y = Total number of miles driven

= Number of days * Number of miles per day

= (x) * (300).

Therefore the equation is y = 300x.

When x = 2, y = 300(2) = 600.

The Nguyen family drove 600 miles during the 2 days.

Factorise x² - 9x + 20

Answers

Step-by-step explanation:

Given

- 9x + 20

= - ( 4 + 5) x + 20

= - 4x - 5x + 20

= x ( x - 4) - 5 ( x - 4)

= (x - 4)(x - 5)

Hope it will help you :)

Answer:

x^2 -9x+20

(x-4)(x-5)

Step-by-step explanation:

........

PLEASE HELP IN ATTACHED IMAGE

Answers

Answer:

C.

Step-by-step explanation:

need a quick answer please

Answers

Answer:

x=7

Step-by-step explanation:

(12x+1))+(5x-3)=117

conbine like terms

17x-2=117

     +2 +2

17x=119

/17    /17

x=7

Pleas help me with this F(x)=3x-x Find F(10)

Answers

Answer:

f(10) = 20

Step-by-step explanation:

Since the x is defined, you can plug it in, x=10.

Substitute the x with 10, f(10) = 3(10)-10.

Then, simply the equation, f(10) = 20.

A restaurant what is quantitative and flower Child towers the ratio of the number of corn to tell us to the number of flour tortillas is fortified what is the measure of the number of how to tease to the total number of tortillas I know it’s a lot but plz help

Answers

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

The list shows numbers in order from least to greatest?

Answers

Answer:

the answer is option c : 0 zero

Answer:

1.2

Step-by-step explanation:

Find the slope and the y-intercept of the graph of y - 2= 3/4 x

Answers

Answer:

more information need try maybe 4x-(x3)x(8-0) but im not sure

Step-by-step explanation:

Answer:

y = 3/4 x + 2

Step-by-step explanation:

Given the following probability distribution, find the mean.
х
P(x)
XP(x)
2
.23
4
41
5
.12
9
.24
EP) =
xP(x) = 1
Mean =

Answers

Answer:

interpret the question straight comments please

Step-by-step explanation:

The slope of the line through points (4, -2) and (-1, 5) is

Answers

Answer: The slope is -1.4

Step-by-step explanation:

m = y2 - y1 / x2 - x1

5 - (-2) / -1 - 4

5 + 2 / -1 - 4

7/-5 (Rise over run)

-1.4 (Slope)

Help me fast pls thank you!!!

Answers

Answer:

b=3.464 a=2.121

Step-by-step explanation:

cost to store 155 mark up 30

Answers

Answer:

201.50

Step-by-step explanation:

SP = CP + markup

155 + 30% =155*1.3 =201.50

-1/6 x -3/5 the answer has to be a fraction

Answers

-1/6 x -3/5 = 3/30 = 1/10

The product of -1/6 x -3/5 = 1/10

The given expression is,

-1/6 x -3/5

In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.

Now proceed the product,

Multiply numerator with numerator and denominator with denominator,

Therefore,

-1/6 x -3/5 = -1x(-3)/6x5

                = 3/30

                = 1/10

Hence,

-1/6 x -3/5 = 1/10

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Brian spends the same amount of money each morning. On Saturday he bought a large coffee for $1.25 and 2 doughnuts. On Sunday he brought a small coffee for $.50 and 5 doughnuts. Write and solve an equation to determine the cost of one doughnut.

Answers

Answer:

Cost of one doughnut is $0.25

Step-by-step explanation:

Let the rate of one doughnut = $x

On Saturday he bought a large coffee and 2 doughnuts.

Cost of one large coffee = $1.25

Cost of 2 doughnuts = $2x

Total cost = $(1.25 + 2x)

On Sunday, he bought a small coffee and 5 doughnuts.

Cost of one small coffee = $0.50

Cost of 5 doughnuts = $5x

Total cost = $(0.50 + 5x)

Since, Brian spent same amount of money each morning,

Total expenditure on Saturday morning = Total expenditure on Sunday morning

(1.25 + 2x) = (0.50 + 5x)

1.25 - 0.50 = 5x - 2x

0.75 = 3x

x = $0.25

Therefore, cost of one doughnut is $0.25

Evaluate the function:

f(x)=4x−2, find f(8)

Answers

Answer:

f (8) = 30

Step-by-step explanation:

[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]

Hope this helps.

⚠️PLZ HELP⚠️
Triangle ABC is similar to
triangle FGH. What is the
value of x in centimeters?

Answers

X=10 centimeters, because the ratio of the triangles is 3:2, so if the larger one is 15 the smaller x value is 10.

4 divided by 57 please help

Answers

Answer:

0.07017

Step-by-step explanation:

A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?

Answers

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles

In a class of 25 students, 17 have a brother and 12 have a sister. There are 10 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother?

Answers

Answer:

17/25

Step-by-step explanation:

Answer:

10/25

Step-by-step explanation:


Circle the "best buy."
4 for $1.50
35 cents each
6 for $2.00

Answers

depends on how much you are purchasing

Please help me! I will give you brainliest!

Answers

Answer:

C. 140(7-2)

(i like your pfp)

Answer:

Its C. 140(7-2)

Step-by-step explanation:

Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?


HELP ME PLEASE
DUE TODAY

Answers

Answer: The answer is 18 feet

Which number line represents the solutions to \X – 5| = 1?

Answers

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.


Given that AB = 370 m and AC = 510 m, find
(i) the distance between B and C,
(ii) ACB,
(iii) the bearing of C from B,
(iv) the shortest distance from A to BC.​

Answers

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Solve for the unknown quantity in each proportion.
k over three equals three over nine
A. 1
B. 3
C. 9
D. 27

Answers

Answer:

D

Step-by-step explanation:

27÷3=9

.
Charlie has 6 more quarters than dimes in a jar and a total of $9.20. Which system of
equations can be used to determine the number of each type of coin Charlie has if
q=the number of quarters and d = the number of dimes?

Answers

Answer:

Addition.

Step-by-step explanation:

you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer

152=8(3a-2) justify each step

Answers

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

PLS LOOK AT THE PIC AND HELPPP PLSSS

Answers

Answer:

4x +  -6.03 = 2.07

Step-by-step explanation:

first one:

there are four big white boxes so that equals 4x

6 negative ones so its -6

3 negative 0.1 so its -0.3

add up 06 and -0.3 and that's -6.03

second one:

there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07

Can someone help me with this? I just need help understanding it.​

Answers

What do you need help with !?! I don’t get it you just write the question no picture

happy new year ✨ ☺ ✨ ☺ ​

Answers

Answer:

happy new year

Step-by-step explanation:

Answer:

Negative association

Step-by-step explanation:

As you can see on table y the numbers are going down.

And I am not sure if you understand me but I can't explain very well sorry.

Hope this helped and Goodluck!!!

:D

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