Solve each inequality:

a. x + 3 < 4


b. x - 3 > 5

_

c. 4 > x - 2


d. -2 < x + 1

_

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

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6(4a-3b)

if you draw a factor tree that goes like:

    24

1         24

2        12

...       ...  (and so on, you'll find 6 is the highest)

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

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#SPJ5

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

Answer:

I don't know

Step-by-step explanation:

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

[tex]Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}[/tex]

This gives

[tex]Rate = \frac{7.5}{6}[/tex]

Divide 7.5 by 6

[tex]Rate = 1.25[/tex]

There are 24 hours in a day.

So, the total snowfall is:

[tex]Total = Rate \times Hours[/tex]

This gives

[tex]Total = 1.25 \times 24[/tex]

Multiply

[tex]Total = 30[/tex]

Hence, the estimated total snowfall during the day is 30 inches

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Answer:

c

Step-by-step explanation:

80 × percent = 48

percent = 48/80

= 0.6

= 60%

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

Answer is attached.

Hope it helps :)

Answer:

−7y+8

Step-by-step explanation:

1. Simplify each term.

−4y+8−3y

2. Subtract 3y from −4y.

−7y+8

Hope this helps :D

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

Answer: x=  

6

7

​

=1  

6

1

​

≈1.166666667

y=−  

9

14

​

=−1  

9

5

​

≈−1.555555556

Step-by-step explanation:

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

Answer:

120 yd²

Step-by-step explanation:

The floor consists of a square and a triangle

area of square = 10² = 100 yd²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4 and h = 10 , then

area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²

company needs 100 + 20 = 120 yd²

Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Answer:

....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

Answer:

400

Step-by-step explanation:

i think

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]

The full installment price is $ 2200, and the annual interest rate is 10%.

Since Clare wants to buy a used wide-screen TV that sells for $ 2,000 cash, and she will make a down payment of $ 1,000 and then six monthly payments of $ 200, to determine what is the full installment price and the annual interest rate is due perform the following calculation:

Therefore, the full installment price is $ 2200, and the annual interest rate is 10%.

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Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]

Step-by-step explanation:

0.125 = 1/8

Answer:

3x6+2+8=28

Step-by-step explanation:

3x6=18

18 + 2 = 20

20 + 8 = 28

Answer:

9 1/3 or 9.33, 28/6 or 4 4/6, 14 and 28/8 or 3 4/8

Step-by-step explanation:

( 1 ) The number 28 divided by 3 gives 9 1/3 or 9.33.

( 2 ) Using a calculator, if you typed in 28 divided by 6, you'd get 4.6667. You could also express 28/6 as a mixed fraction: 4 4/6.

( 3 ) 28 divided by 2 is 14.

( 4 ) Using a calculator, if you typed in 28 divided by 8, you'd get 3.5. You could also express 28/8 as a mixed fraction: 3 4/8.

Answer:

i think 2

Step-by-step explanation:

65km ÷ x = 6 1/2km×5

65÷x = 6 1/2×5

65÷x = 13/2 ×5

65÷x = 65÷2

x = 2

so 2 is answer

answer

2

let the unknown number be x

65/x=6+1/2*5

65/x=13/2*5

65/x=65/2

65/x=32.5

x*32.5=65

x*32.5/32.5=65/32.5

x=2

Answer:

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

Answer:

3600 seconds

Step-by-step explanation:

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2