The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

people already on the elevator with a combined weight of 428 pounds, write an inequality to express

the possible weights that may be added to the elevator,

Part A: Define your variable

Part B: Write the inequality

Part C: Describe what your inequality looks like on a number line. Be sure to include whether the

circle is open or closed and the direction the line is shaded.

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

Answer: X=17

Step-by-step explanation:

Answer:

Any number above 17

18 works.

Step-by-step explanation:

18-2 = 16

16 > 15

> means the number on the left is greater.

Hope this helps.

Answer:

Its A

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

we have the coordinates of ABCD

there are 2 ways of doing this one is you find the distance of ab, bc, cd and da and then add the answers together. there is another way but i dont remember it properly so i am just gonna do it this way

distance between 2 point = [tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

AB

[tex]d = \sqrt {(4 - 1)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt {(3)^2 + (3)^2}[/tex]

[tex]d = \sqrt {9 + 9}[/tex]

[tex]d = \sqrt 18[/tex]

AB = 4.24

now repeat the same with all

BC= 4.24

CD= 4.24

DA= 4.24

so its a square with all the same sides so perimeter is 4 x 4.24

perimeter is 16.96

hope this helps

mark me as brainliest please

Answer:

it should be 1.19 x 10^-7

Step-by-step explanation:

Hope its correct.

Answer:

731,100

7.311 × 10^5

Step-by-step explanation:

The computation of the number of sheet used by other department is given below:

Given  that

The company used 7.4 × 10^5 sheets of paper So it would be 740,000  

And, The accounting department used 8.9 × 10^3 sheets so it would be 8,900  

Now the number of sheet used by other department is

= 740,000 - 8,900

= 731,100

= 7.311 × 10^5

A. square root property

[tex]3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}[/tex]

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

[tex]x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3[/tex]

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

[tex]x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7[/tex]

same reason personal preference

D- Quadratic

[tex]x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402[/tex]

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

Answer:

C, after 1 year, it has 75 percent of its original value

Step-by-step explanation:

Answer:

5444

Step-by-step explanation:

5,500-50=5,450

5,450-6=5,444

Answer:

x = 660

Step-by-step explanation:

Solve

6/50 = x/5,500

5500 ÷ 50 = 1100 x 6

x = 660

Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

Answer:

332.999

Step-by-step explanation:

juice wrld

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

Learn more about a linear equation here: https://brainly.com/question/18840245

#SPJ2

Answer:

The answer is 207.227

Step-by-step explanation:

Hope this help

Answer:

73

Step-by-step explanation:

13+15(4) = 73

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

Answer:

0.75

Step-by-step explanation:

You are just combining like terms since there are no variables:

-5.75 + 6.5 is the same as,

6.5 - 5.75

= 0.75

Answer:

90

Step-by-step explanation:

9*6=54

54*5= 270

270/3=90

Answer:

A

Step-by-step explanation:

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

Answer:

(17)

Sum of interior angles of a quadrilateral is 360°

(18)

Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°

(19)

Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.

Sum of exterior angles is 360°.

Answer:

15

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did k12