the quotient of 8 and the cube of a number

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

Answer: the function is constant , the function is increasing for -7< x < -3 , the point (-5,8) lies on the graph of the function.

Edgunity

Answer:

The function is  

✔ constant

for –9 < x < –7.

The function is increasing for  

✔ –7 < x < –3

.

The point  

✔ (–5, 8)

lies on the graph of the function.

Step-by-step explanation:

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

In mathematics, probability is considered as the chances a specific situation or event occurs.

For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

For example,

if you throw a die, then the probability of getting 1 is 1/6.

Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.

How to calculate the probability of two events happenning?

Now,

Given that:

0.5 x 0.5

= 0.25

= 25% (0.25 x 100)

Hence,  the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

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Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

5w + 4 = 2w + 19

3w + 4 = 19

3w = 15

w = 5

Answer:

(3x-2y)=-4(5x-3y)=-2

Answer:

44.73 mph

Step-by-step explanation:

Answer:

20 meters per second

Step-by-step explanation:

400m/20s = 20 m/s

Answer:

Hey there!

17n+5.4-3=64

17n+2.4=64

17m=61.6

m=3.623529...

Did you make a typo on the question?

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x + 4

      -5           -5

4x =    3x -1

-3x =   -3x

1x = -1

x = -1

Answer:

x=-1

Step-by-step explanation:

4x+5=3x+4

subtract 3x from both sides of the equation

4x+5=3x+4

-3x      -3x

x+5=4

subtract 5 from both sides of the equation

x+5=4

 -5    -5

x=-1

Answer:

x = 5.5 units

Step-by-step explanation:

Since, B is the midpoint of AC.

[tex] \therefore \: AB = BC \\ 14 = 2x + 3 \\ 14 - 3 = 2x \\ 11 = 2x \\ x = \frac{11}{2} \\ x = 5.5 \: units \\ [/tex]

Answer:

First, let's define our coordinates.

Let's call East as the positive x-axis and North as the positive y-axis.

Now the data that we have is:

Speed  = 4 mph

Time = 3 hours.

Then the total distance traveled is:

D = 4mph*3h = 12 miles.

We also know that the angle is S 35° E.

(from east, 35° to south)

So we can write this angle as -35°.

Then if we want to know the component in South and East, we can first think this in polar coordinates

(R, θ)

where R = 12 miles, and θ = -35°

Now with this, we have that:

X = R*cos(θ) = the displacement to the east.

Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).

Then we have:

X = 12mi*cos(-35°) = 9.83mi

Y = 12mi*sin(-35°) = - 6.89 mi.

Then:

The displacement to the East is X = 9.83 miles

The displacement to the South is -Y = 6.89 miles.

The magnitude of southern displacement of the hiker is 6.88 miles.

The magnitude of eastern displacement of the hiker is 9.83 miles.

The given parameters;

The resultant displacement of the hiker is calculated as follows;

D = vt

D = 4 mph x 3 h

D = 12 miles

The magnitude of southern displacement of the hiker is calculated as follows;

[tex]D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles[/tex]

The magnitude of eastern displacement of the hiker is calculated as follows;

[tex]D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles[/tex]

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Answer:

2k

Step-by-step explanation:

[tex] - k + 3k[/tex]

Add or subtract the numbers

[tex]2k[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ 2k}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - k + 3k}[/tex]

Collect like terms

⇒2k

Hope I helped!

Best regards! :D

Answer:  3 meters downward per second

Step-by-step explanation:

If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.

15/5 =  3  

3 meters  per second

Answer:

4/5 - 1/10 = 8/10 - 1/10 = 7/10

Step-by-step explanation:

Answer:

The reason why "reposition its product" is the correct answer because Kellogg's is trying to reposition their product in order to make sales. Frosted Flakes was a big time thing for kids, due to the fact that advertisements involved children since Kellogg's target audience were children. Frosted Flakes were pretty much meant for children. Since the product was meant for children, Kellogg's left the people that actually buy the cereal--adults--out of the scene.

Kellogg's releasing advertisements of adults saying how much they loved Frosted Flakes allows viewers to have a thought of going to the store and getting some Frosted Flakes. With the advertisement, they're also trying to target adults because there are a lot of adults in this world, and if they can get adults to buy their product, then their sales will go big. Their goal for the advertisement is to get more sales for the Frosted Flakes product, and they're doing this by having a target audience of adults.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = [tex]\sqrt{10^2 - 8^2}[/tex]

a = 6 cm

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.

Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]

So the missing side is 6 cm long.

Hope this helped!

Answer:

The answer to which expression is equivalent to 2(a+3b) is 2a+6b

Answer:Do you have a picture of the answers

Step-by-step explanation:

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment PT is 23 units. The correct option is D.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that point T will lie between points P and B. Therefore, Point T is on the line segment PB. Therefore, it can be said  Thus, we can write,

PB = PT + TB

As given the length of PB is 35 units, the length of TB is 12 units,

35 units = PT + 12 units

35 units - 12 units = PT

PT = 23 units

Hence, the length of the line segment PT is 23 units.

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Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

[tex]x + y = 9[/tex]

[tex]y = x+1[/tex]

Then, by eliminating y:

[tex]x + (x+1) = 9[/tex]

[tex]2\cdot x + 1 = 9[/tex]

Now, let is clear [tex]x[/tex]:

[tex]2\cdot x = 8[/tex]

[tex]x = 4[/tex]

Nifal received $ 4 for washing the first car.

The earning for the second car is: ([tex]x = 4[/tex])

[tex]y = x +1[/tex]

[tex]y = 4 + 1[/tex]

[tex]y = 5[/tex]

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Answer:

56.15

Step-by-step explanation:

First, convert  [tex]6\frac{9}{20}[/tex]  lbs to a decimal. Multiply the main number (6) by the denominator (20) and then add that number to the numerator (9). The number you will get will be (6 x 20)+9 = 129. 129 is now the new numerator as an improper fraction so the improper fraction is now [tex]\frac{129}{20}[/tex].

Now make [tex]17\frac{17}{25}[/tex] lbs an improper fraction. It would be [tex]\frac{442}{25}[/tex].

Now subtract the amount of pork from the total amount of meat. [tex]\frac{442}{25}[/tex] - [tex]\frac{129}{20}[/tex] . Find a common denominator. I'm going to use 500, although there might be something less.

[tex]\frac{5615}{100}[/tex] is the result. Now you can either start dividing or simplify the fraction, which hopefully you already know how to do. 5615 ÷ 100 = 56.15

Really hope this helped, I tried explaining well! Ask more questions if you need!

Answer:

Hey there!

x+y=11

xy=24

The numbers are 8 and 3.

8 times 3 = 24

8+3=11

Hope this helps :)

Answer: 3 and  8

Step-by-step explanation:

Answer:

They are both the same.

Step-by-step explanation:

If you are doing for an hour for Gym B you would do .75 cents for ever 5 minutes of that hour.

60 minutes in an hour so

60/5=12

12*0.75=9.00

So both Gyms are the same.

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(x+7)=80[/tex]

First, divide everything by 4:

[tex](4(x+7))4=(80)/4[/tex]

Simplify:

[tex]x+7=20[/tex]

Subtract 7 from both sides:

[tex]x=13[/tex]

So our answer is 13 :)

Answer: -28/6

Step-by-step explanation:

6 ( n + 5 ) = 2

first, distribute "6(n+5)".

6n + 30 = 2

subtract 30 from both sides.

6n = -28

n = -28/6

Answer:

-4 + 11 = 7

Step-by-step explanation:

Answer: An expression that would be equal to this one using addition would be 7 + (-11). There is also the option of -7 + 11. When you add a negative, it is the equivalent to subtracting, because you are adding a negative value to a positive value.

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

[tex]Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}[/tex]

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

Answer:

  C)  y -1 = -8

Step-by-step explanation:

The solutions to the various equations are ...

  w = -7/-4 = 1.75 . . . . . divide by -4

  x = 3/2 = 1.50 . . . . . . .divide by 2

  y = -7 . . . . . . . . . . . . . .add 1

  z = 5 . . . . . . . . . . . . . . add 1

The value farthest from 0 is y = -7, corresponding to choice C.

Answer:

66

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

5x+45-2+2x=1

7x+43=1

7x= -42

x= -6

Answer:

x=-6

Step-by-step explanation:

[tex]5(x+9)-2(1-x)=1\\5x+45-2+2x=1\\5x+43+2x=1\\7x=1-43\\\frac{7x}{7}=\frac{-42}{7}\\ x=-6[/tex]

Answer:

b = 28/3 or 9.3

Step-by-step explanation:

b-8+2b=20

3b-8=20

3b=20+8

3b=28