What is the boundary line for the linear inequality 4x + 2y < 18?

Answer: 50 miles

Step-by-step explanation:

Because 25 x 2 = 50

and 1 inch is 25 miles and 2 inches is then 50 miles

Answer:

C. 50 miles

Step-by-step explanation:

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

The distance from Michael home to work is 100 miles

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

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Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer:

Let x be the number of 1 point shots, and y be the number of 2 point shots.

So the system is:

x+y=53

1x+2y=90

We can solve this system by substitution.

x+y=53, x=53-y

x+2y=90

53-y+2y=90

53+y=90

y=37

That means, the team made 37 two point shots.

If the team made 37 two point shots, the team scored 37 x 2, or 74 points from 2 point shots, meaning that it made 16 one  point shots.

So the correct answer is: 16 one point shots, 37 two point shots.

Let me know if this helps!

Answer:

-3f

0

f1

Step-by-step explanation:

(x = -3) f x -3 -3f

(x = 0) f x 0 = 0

x = 1) f x 1) f1

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Answer:

3π/2

Step-by-step explanation:

See attached graph

Answer:

The Pink square, Green Rectangle, and the Orange figure

Step-by-step explanation:

The only one I'm not to sure about is the trapezoid, but you can rule out all the others because there is no right angle. Hope this helps!

The Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

What is rectangle?

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

What is square?

A rectangle with four sides of equal length is a square.

What is right angle?

A right angle is an angle that is exactly equal to 90 degrees  in measure.

According to question, we have to find which shapes have at least 1 right angle.

In the given figure, we can see that the pink square, green Rectangle, and the orange figure have at least 1 right angle or have [tex]90[/tex] degree in them.

Hence, we can conclude that the Pink square, Green Rectangle, and the Orange figure have at least 1 right angle.

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Answer:

Step-by-step explanation:

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]

Point-slope form:

y - y1 = m(x - x1)

y - 5 = -10(x - 8)

Answer:

There is no answer

My Logic:

The picture does not specify the degree of angle for each corner, nor can i understand what the random "a" is. also the side all the way to the left has an un-readable number.

Answer:

$138.78

Step-by-step explanation:

152.50 decrease 9% =

152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775

Answer:

13 reminder 7.

Step-by-step explanation:

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

Answer: 713 cg

Step-by-step explanation:

1 g = 100 cg

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

Given

7.13 g = ? cg

Solve

7.13 × 100 = 713 cg

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.

Then the largest temperature was on Saturday, and it was 3°C

b) Which temperature was the coldest?

Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.

Then the smallest temperature is -6°C.

c) On Thursday the temperature was -1°C

On Saturday the temperature was 3°C

The difference between the temperatures is:

-1°C - (3°C) = -4°C

This means that Thursday was -4°C colder than on Saturday.

d) On Sunday, the temperature was 5°C lower than on Saturday.

On Saturday the temperature was 3°C, then the temperature on Sunday is:

T = 3°C - 5°C = -2°C

The temperature on Sunday is -3°C.

Answer:

mean= 0.65

standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]

Step-by-step explanation:

The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.

The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:

standard error = √((65% × 35%) / 100)

= √((0.65 × 0.35) / 100)

= √(0.0227 / 100)

= √(0.0000227)

= 0.004779

Therefore, the standard deviation is approximately 0.004779.

Learn more about the standard deviation here:

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Answer:

1 kilometer

Step-by-step explanation:

each kilometer is 1000 meters, so you would expect

1000 > 598

Answer:

12 inches

Step-by-step explanation:

What information is useful?

Each brick is: 1 1/2 inches long.

There are 8 bricks used.

Let's multiply 1 1/2 x 8 = 12 inches.

You can convert into other metrics but depending on your question it is in inches.

Answer:

percent error is 11.1%  (which agrees with answer B)

Step-by-step explanation:

The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft

Then the percent difference is calculated as:

(difference / real value) * 100 = ( 0.5 / 4.5ft  ) * 100 =  11.1%