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

What is the mean of the set {4, 6, 8, 10}?

Answers

Answer:

Step-by-step explanation:

8 I think

Answer:

Defination:

.the collection of distinct elements or members.

Step-by-step explanation:

A rectangular swimming pool is 28 feet wide. Jason drew the pool at the scale below. 1 inch : 4 feet How many inches wide is Jason's drawing?

F. 4 inches
G. 7 inches
H. 14 inches
J. 21 inches

Answers

Jason’s pool is 7 inches wide because you have to multiply Length and Width so 4x7=28 so the answer is G.7 inches

Consider the rectangle enlargement. Pls answer the three questions I will mark brainliest!!

Answers

Answer:

Perimeter of the original Rectangle is

2(4.5+4.3)=2×8.8= 17.6 mm

Side length of the enlarged rectangle is

[tex] \frac{4.5}{4.3} = \frac{24.3}{x} \\ x = \frac{24.3 \times 4.3}{4.5} \\ \boxed{x = 23.22 \: mm}[/tex]

Perimeter of the enlarged rectangle

2(24.3+23.22)= 2×47.52= 95.04 mm

Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.

b. 2x - 7 and the opposite of 2x

Answers

Answer:

-70x

Step-by-step explanation:

Pls help I’ll give 100 points

Answers

Answer:

48

Step-by-step explanation:

Answer:

48!!!

Step-by-step explanation:

2(27+1 /7) +5*8

2(28/7)+5*8

28/7=4

2(4)+5*8

8+40

=48

does 18/24 and 15/20 form a proportion

Answers

Answer: yes

Step-by-step explanation:

when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent

Uhhh help please
I need helppppp

Answers

Answer:

1?

Step-by-step explanation:

11/12 closest to

If the circumference of a circle is rational, the area is always rational.

Answers

Answer:

Yes!!!

Step-by-step explanation:

Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.

What is the angle measurement for 3/8 of a circle ??

Answers

Answer:

3pi/11...

.

.

.

...

.

.

.

.

...

...

...

Answer:

135

Step-by-step explanation:

360/8=45

45x3=135

What is the y-intercept of a line that passes through the points (2,7) and (6, 1)?

Answers

Answer:

Step-by-step explanation:

The y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

What is a slope intercept?

The equation of a line is found using the slope-intercept form of a straight line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b," the slope intercept form equation is: y = mx + b.

Given that the points are (2,7) and (6, 1).

To find the equation, using the slope formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 -7) / (6-2)

m = -6/4

m = -3/2

Now to find the slope intercept form,

y = (-3/2)x + b,

here b is the y-intercept.

Now we will substitute the value of (2,7) in the slope intercept equation.

Hence, b = 10

Therefore, the y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

To learn more about the slope-intercept form;

https://brainly.com/question/19824331

#SPJ2

PLEASE HELP! <3
What is the slope of the line?

Answers

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

solve for x pls hurry

Answers

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

7+(-4) please help thank you

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Note that adding a negative quantity is equivalent to subtracting the negative quantity, that is

7 + (- 4) = 7 - 4 = 3

There are 750 spectators of which of 420 are women and the rear are men what percent of the spectators are women

Answers

Answer: 56%

Step-by-step explanation:

There are 750 total people in this crowd.

420 are women and their percentage of the total is needed.

You get this by dividing the number of women by the total number of spectators and then multiplying by 100%:

= Number of women/ Total people * 100%

= 420 / 750 * 100%

= 56%

Set up this equation. There are 20 animals in my house. Some are cats and some are ducks. There are 72 legs in all. *

Answers

Answer:

System of equations:

x + y = 20

2x + 2y = 72

Step-by-step explanation:

3y=-6x+1 solve for y

Answers

Answer:

y= 2x +1/3

Step-by-step explanation:

3y= 6x+1

divide the whole equation by 3 to isolate y

y= 2x+1/3

Following are the calculation to the given value:

Given:

[tex]3y=-6x+1[/tex]

To find:

[tex]y=?[/tex]

Solution:

[tex]\to 3y=-6x+1\\\\\to y=-\frac{6x+1}{3}\\\\\to y=-\frac{6x}{3}+\frac{1}{3}\\\\\to y=-2x+\frac{1}{3}\\\\[/tex]

The final value of y is "[tex]=-2x+\frac{1}{3}\\\\[/tex]".

Learn more:

brainly.com/question/22800706

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"

ILL GIVE BRAINLIEST PLEASE HELP THE PICTURE IS ATTACHED

Answers

Answer:

Its C x=4, -4

explanation:

Take the root of both sides and solve

3y - 15 =y + 1 solve for y

Answers

A n s w e r:

y = 8

Hope this helps!

PLS HELP NEED ANSWER ASAP PLSSSS

Eva left her home and drove for 4.3 hours due north at a rate of 60 miles per hour. After visiting a beach, she drove due south for 3.4 hours at 55 miles per hour.


How many miles is Eva from her home?

Answers

Answer:

166

Step-by-step explanation:

Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

HELPPP!!!!!!!!!!!!!!!! PLEASE! :D

Answers

Answer:

The solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Step-by-step explanation:

Given the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

solving the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex]

[tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]

solving

[tex]4x-1\le \:5x[/tex]

Add 1 to both sides

[tex]4x-1+1\le \:5x+1[/tex]

Simplify

[tex]4x\le \:5x+1[/tex]

Subtract 5x from both sides

[tex]4x-5x\le \:5x+1-5x[/tex]

simplify

[tex]-x\le \:1[/tex]

Multiply both sides by -1 (reverse inequality)

[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]

Simplify

[tex]x\ge \:-1[/tex]

Similarly solving

[tex]5x\le \:3\left(x+2\right)[/tex]

Subtract 3x from both sides

[tex]5x-3x\le \:3x+6-3x[/tex]

Simplify

[tex]2x\le \:6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]

Simplify

[tex]x\le \:3[/tex]

So combine the interval

[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]

Merge overlapping intervals

[tex]-1\le \:x\le \:3[/tex]

Therefore, the solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

what's the answer step by step please​

Answers

i think the answer is 2.8
It’s 2.8 reason spongebob

I need help solving this practice question​

Answers

Answer:

Answer is the 3rd one

Step-by-step explanation:

They are asking to see what other angle looks equivalent  to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.

Have a great day!

What is (-4/7) - (-10/7)=?

Answers

Answer: 6/7

Step-by-step explanation:  

Answer:

0.85714285714 rounded to 0.86

Step-by-step explanation:

(-4/7) = -0.57<- rounded up

(-10/7)=-1.43<-rounded up

0.57- -1.43=0.86

2(x-6)+3x+4=

Helpppppp.

Answers

Answer:

5x + (-8)

Step-by-step explanation:

2(x-6)+3x+4=

Distribute:

(2)(x)+(2)(−6)+3x+4

=2x+−12+3x+4

Combine Like Terms:

(2x+3x) + (-12+4)

= 5x+(-8)

11. Find f(-1) for the function. f(x) = 3x - 4

Answers

Answer:

It is -7.

Step-by-step explanation:

Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.

Answer: The answer is -7 for #11

Step-by-step explanation:f(x) = 3x - 4

f(x) = 3(-1) - 4 plug in -1 in x

-3-4 subtract both -3 and 4

-7 the answer

What is the highest common factor of 45 and 315?

Answers

The highest common factor is 45

The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .

Please Help! It’s due today!

Answers

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?

Answers

Answer:

172.8

Step-by-step explanation:

Answer:

172.8

Step-by-step explanation: Dont Trust Me But Its Right B)

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