Which of the following shows the rational numbers in order from least to greatest?

Answer:

-4x=20

x=20/-4

x=-5

maybe not sure

Answer:

100

Step-by-step explanation:

The first 9 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

Their sum is 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100

Answer:

width = 12.5

Step-by-step explanation:

rectangular volume = height * width * length

1200 = 4 * w * (20 + 4)

1200 = 4 * w * 24

1200 = 96w

12.5=w

Answer:

It is a function.

Step-by-step explanation:

It is proven via the vertical line test.

Hi

add "x" with "x" and numbers with numbers

5x+3x+2+4 = 8x+6

Answer: [tex]8x+6[/tex]

Add

[tex]5x+3x=8x\\2+4=6\\8x+6[/tex]

Answer:

MTTF for the fuses =  62.5

Step-by-step explanation:

Given:

Total fuses = 25

Number of failures = 12

Number of days = 30

Find:

MTTF for the fuses.

Computation:

MTTF for the fuses = Total operation time / Number of failures

MTTF for the fuses =  (25 × 30) / 12

MTTF for the fuses =  62.5

Answer:

12 pts total

Step-by-step explanation:

Answer:

The four multiple choice are worth 12 points total

Answer:

64

Step-by-step explanation:

I am assuming the -2 is outside the sqrt.

8 = sqrt(v)

v = 64

Answer:

= z/12 - 1/3

Step-by-step explanation:

z-4/(4+8)

= z-4/12

= z/12 - 4/12

= z/12 - 1/3

Answer:

  $186 million

Step-by-step explanation:

The ratio of costs is ...

  filming : editing = 2 : 1

So, the filming cost as a fraction of the total cost is ...

  filming : total cost = 2 : (2+1) = 2/3

The allocation to filming is ...

  (2/3)($279 million) = $186 million

Answer:

loss of ability to understand or express speech, caused by brain damage or  loss or impairment of the power to use or comprehend words usually resulting from brain damage (as from a stroke, head injury, or infection) — see motor aphasia — compare amusia, anarthria.

Step-by-step explanation:

Answer: she is now 121 feet below sea level.

Step-by-step explanation:

Given, A scientist was in a submarine, 95.7 feet below sea level, studying ocean life.

Over the next ten minutes, she went down 25.3 feet.

Then, she was (95.7+25.3) feet below sea level now.  [we will add both distances ]

Then, she was 121 feet below sea level now.

Hence, she is now 121 feet below sea level.

Answer:

12345 < 54321

21435 > 12534

:

Step-by-step explanation:

Given the digits:

1, 2, 3, 4 and 5

We have to use every digit only once and have to make two different five digit numbers.

Using these 5 numbers only once without repetition, we have many numbers possible.

Let us have a look at a few sets and let us compare them.

Set 1: 12345 and 54321

We can see that 12345 is lesser than 54321.

Therefore, we can write (using lesser than sign):

12345 < 54321

Set 2: 21435 and 12534

We can see that 21435 is greater than  12534.

Therefore, we can write (using greater than sign):

21435 > 12534

Answer:

[tex] \boxed{ \sf{ \bold{2. \: \: x = 6}}}[/tex]

[tex] \boxed{ \bold{ \sf{3. \: \: x = 21}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{3x + 6 = 21}[/tex]

Move constant to right hand side and change its sign

⇒[tex] \sf{3x = 21 - 6}[/tex]

Subtract 6 from 21

⇒[tex] \sf{3x = 15}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{15}{3} }[/tex]

Calculate

⇒[tex] \sf{x = 5}[/tex]

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

2. [tex] \sf{33 = 7x - 9 }[/tex]

Swap the sides of the equation

⇒[tex] \sf{7x - 9 = 33}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{7x = 33 + 9}[/tex]

Add the numbers

⇒[tex] \sf{7x = 42}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{42}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 6}[/tex]

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

3. [tex] \sf{28 = 7 + x}[/tex]

Swap the sides of the equation

⇒[tex] \sf{7 + x = 28}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{x = 28 - 7}[/tex]

Subtract 7 from 28

⇒[tex] \sf{x = 21}[/tex]

Hope I helped!

Best regards!!

Answer: Package B is least expensive; Will save $5

Step-by-step explanation:

Package A

$200 for 5 lesson=$40/lesson

Package B

$350 for 10 lesson=$35/lesson

35<40

Package B is least expensive

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

 40 (Package A)- 35 (Package B)

=$5

Answer:

Packages A and C.

Step-by-step explanation:

Answer:

Then what is the radius of the circle? Since, the tangent of any point of a line is perpendicular to the radius through the point of contact. Hence, radius of the circle = 8 cm.

Answer:

Compared to the first cube, the total surface are of the second cube is 16 times larger.

Step-by-step explanation:

The first cube has L*L*6=6L²

The second cube has 4L*4L*6=14L²*6=84L²

Compared to the first cube, the total surface are of the second cube is 16 times larger.  (6*16=84)

Answer:

9:15 am

Step-by-step explanation:

First you know the speed and you know the distance.

So now we have to find the time it took for him to get to school(ignore the waiting time first)

time=10/4=2.5h

now we add the waiting time,

2.5h+0.25h(15minutes is the same as 0.25h)=2.75h

convert 0.75h to minuts,

0.75*60=45minutes

6.30+2.45=9.15am

The boy arrived at school at 8:15 am after cycling for 2.5 hours and waiting for 15 minutes.

Given Distance from the boy's house to school = 10 km

Cycling speed = 4 km/h

Time spent waiting for his friend = 15 minutes

Now calculate the time it took for the boy to cycle the distance from his house to the meeting point, excluding the waiting time.

Distance = Speed × Time

10 km = 4 km/h × Time

Time = 10 km / 4 km/h

Time = 2.5 hours

Now, we need to convert the waiting time from minutes to hours, so we can add it to the cycling time.

Waiting time = 15 minutes / 60 minutes/hour

Waiting time = 0.25 hours

Add the cycling time and waiting time to determine the total time it took for the boy to reach school.

Total time = Cycling time + Waiting time

= 2.5 hours + 0.25 hours

=2.75 hours

We need to determine the arrival time by adding the total time to the departure time.

Arrival time = Departure time + Total time

Arrival time = 6.30 am + 2.75 hours

To calculate the arrival time, we need to consider the minutes and hours separately:

Minutes: 30 minutes + (0.75 hours × 60 minutes/hour)

= 30 minutes + 45 minutes

= 75 minutes

Since 75 minutes is more than an hour, we need to adjust the hours and minutes accordingly.

Adding the hours: 6 + 2 = 8

So, the boy arrived at school at 8:15 am.

Therefore, the boy arrived at school at 8:15 am.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ2

Answer:

The amount $ 8114.3 is the balance in the account after eleven years

Step-by-step explanation:

From;

A= P(1+r)^n

Where;

A= amount

P= principal

r= interest rate

n= time

A= 5000(1+ 0.045)^11

A= 5000(1.045)^11

A= $ 8114.3

The amount $ 8114.3 is the balance in the account after eleven years.

GIVEN:

TO FIND:

ANSWER:

Firstly let us assume ,

Now the equⁿ s becomes ,

=> p - q = 4 . ........(1)

Also , given that:

=> 1/x² - 1/y² = 3/16.

=> p² - q² = 3/16.

=> (p+q)(p-q) = 3/16.

From (1),

=> 4 (p+q) = 13/16.

=> (p+q) = 13/16 × 1/4.

=> p+ q = 13/64.

On adding (1) and (2) ,

=> 2p = 4 + 13/64.

=> 2p = 256+13/64.

=> p = 269/64 × 1/2.

=> p = 269/128.

Now lets find q ,

=> q = 13/64 - 269/128.

=> q = 26-269/128.

=> q = -243/128.

Hence

.°. x = 128/269 , y = -128/243

[tex]1\frac{11}{12}[/tex]

[tex]\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}[/tex]

Answer:

Step-by-step explanation:

Let the number be n

The statement

the difference of a number and eight is written as

n - 8

It's multiplied by 6

That's

6( n - 8)

The result is 12

So we have the final answer as

Hope this helps you

Answer:

D

Step-by-step explanation:

7^2 + 4^2 = [tex]\sqrt{65\\[/tex]

assume it is a triangle and x is the hypotenuse and use Pythagorean theorem

Answer:

D

Step-by-step explanation:

7^2 + 4^2 =

assume it is a triangle and x is the hypotenuse and use Pythagorean theorem

Answer:

3.5

Step-by-step explanation:

I recommend using a calculator. Divide 7/2.

Answer:

Please see steps below

Step-by-step explanation:

Start by writing all trig functions in the equation in terms of their simplest forms using the two basic trig functions: [tex]sin(\alpha) \,\,and\,\,cos(\alpha)[/tex]:

[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)} = \frac{1}{sin(\alpha)}[/tex]

Now work on the left side (which is the most complicated one), trying to simplify it using the properties for adding fractions with different denominators:

[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)}=sin(\alpha)+\frac{cos^2(\alpha)}{sin(\alpha)} =\frac{sin^2(\alpha)}{sin(\alpha)} +\frac{cos^2(\alpha)}{sin(\alpha)}=\frac{sin^2(\alpha)+cos^2(\alpha)}{sin(\alpha)}=\frac{1}{sin(\alpha)}[/tex]

where in the last step we have used that the Pythagorean identity for:

[tex]sin^2(\alpha)+cos^2{\alpha)=1[/tex]

Notice that we arrived at the expression: [tex]\frac{1}{sin(\alpha)}[/tex], which is exactly what appears on the other side of the initial equation/identity we needed to prove, so the prove has been completed.

gcd  =  6  ⋅  d

Step-by-step explanation:

We have that  

6 d ^2  =  6  ⋅  d  ⋅  d and  18 d  =  3  ⋅  6  ⋅  d  hence the  gcd  =  6  ⋅  d

(Hope this helps <3)

Store A: 1 foot= 42.50÷5 = $8.50

Store B= 1 foot= 49.50÷6 = $8.25

Answer:

Store B has a better buy because the price for 1 foot sandwich is cheaper than Store A.

Step-by-step explanation:

Hey, there!!

a. (-12)×(-11)×10

Here, (-)×(-)=(+)

(-12)×(-11)=132

so,

=132×10

=1320.

For b.

(-25)×(-8)×(-2)

(-)×(-)=(+)

(-25)×(-8)=200

so,

=200×(-2) { (+)×(-)=(-)}.

= -400.

Therefore, the answer of a. no. is 1320, and no. b is (-400).

Hope it helps....

Option d for question 4 should be:

d.)Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Answer:

1. (b)  a^2+b^2=c^2

3. (a) 5

4. (d) Marcia is not correct. According to the distance formula, the distance should be D=√(17-17)^2+(3-(-5))^2=8

Step-by-step explanation:

(1) From Pythagoras' theorem, the square of the hypotenuse side of a given right-angled triangle, is equal to the sum of the squares of the other two sides. Now, if the other two sides are a and b, and the hypotenuse is c, then using this theorem, the following holds:

c² = a² + b²

(2) The distance D, between two points (a, b) and (c, d) is given by;

D = √(a-c)² + (b-d)²        ----------------(i)

From the question, the points given are (9, -7) and (5, -4):

This means that;

a = 9

b = -7

c = 5

d = -4

Substitute these values into equation (i) and get;

D = √(9-5)² + (-7- (-4))²

D = √(4)² + (-3)²

D = √16 + 9

D = √25

D = 5

Therefore, the distance between these points is 5 units

(4) As explained in question 3 above, Maria is not correct. To find the distance between two points, we use the relation shown in the answer to question 3 above. i.e

D = √(a-c)² + (b-d)²

Since the given points are (17, 3) and (17, -5), it implies that;

a = 17

b = 3

c = 17

d = -5

D = √(17-17)² + (3-(-5))²

D = √(0)² + (8)²

D = √8²

D = 8