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.

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer:

y = 1.

Step-by-step explanation:

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer:

5.625 is the correct answer to convert five whole five over eight from fraction to decimals.

Step-by-step explanation:

=5/8+5

=0.625+5

=5.625#

Answer:

Yes, distance in yards can be obtained by multiplication.

Step-by-step explanation:

Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.

I foot = 0.3333 yards

To convert distance between the second and third bases from feet to yard ;

Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;

90 * 0.3333 = 29.997 = 30 yards

Answer:

a. every fifth student that enters her classroom

Step-by-step explanation:

I am not for sure, it makes the most sense though because her honors class is all 3 classes, and boys in each of her classes could be biased

Answer:

60.22in^2.

Step-by-step explanation:

First, find the area of the rectangle. 14.1x7=98.7.

Then, we need to find the area of the circle and subtract it from the area of the rectangle.

The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).

Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.

Find rectangle area: 14.1 x 7 = 98.7

Find areas of semicircles: a = 3.14(3.5)^2 = 76.96

Subtract area of semicircles: 98.7 - 76.96 = 21.74

Answer:

use your formula and plug it in and solve it

Step-by-step explanation:

Answer:

74 x 8249

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

    100

= 6104.26

19 x 9799

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

    100

= 1861.81

41 x 73

-----------

  100

= 29.93

Step-by-step explanation:

Answer:

[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]

Answer:

70 problems are correct

Step-by-step explanation:

Answer: 7000g

Step-by-step explanation: Because there are 1000 grams in a kilogram you have to multiply the 7 grams by 1000.

1000*7=7000

There are 7000 grams are equal to 7 kilograms.

Conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division.

Given measurement

7 kilograms

In 1 kilogram = 1000 grams

In 7 kilograms = 7 × 1000 grams

In 7 kilograms = 7000 grams

Hence, 7000 grams are there in 7 kilograms.

Learn more about unit conversion here:

https://brainly.com/question/19420601

#SPJ5

Answer:

C is the answer

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Answer:

y=-3/2x+13

Step-by-step explanation:

Convert to slope-intercept form (y=mx+b):

-3x+2y=10

-3x-10+2y=0

-3x-10=-2y

-3/2x-5=y

y=-3/2x-5

Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2

Solving for b, the y-intercept, we get:

y=-3/2x+b (Equation so far)

7=-3/2(4)+b [Plugging in (4,7)]

7=-12/2+b

7=-6+b

13=b

Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13

Answer:

45°

Step-by-step explanation:

made a special triangle 45-45-90,

Answer:

45.6 degrees

Step-by-step explanation:

see image

Answer:

A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe =  6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x =  7200  - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120  

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800  so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Answer:

32

Step-by-step explanation:

because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32

Answer:

Here is a graph of how this would look for you

Answer: 57 R3

‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎ ‎

Answer:

57 R 3

Step-by-step explanation:

6 goes into 34 5 times with 4 extra, pull down the 5, and 6 goes into 45 7 times with 3 extra. So the answer is 57 R 3.

Answer:

D

Step-by-step explanation:

it's D I don't have a full step by step

Answer:

7/2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

24y + 16

Step-by-step explanation:

If your searching for number 2 itself, the answer will be 24y + 16, because because you have to multily whats out of the brackets by whats in the brackets. 3y+2 is in the brackets so 8 times whats in the braackets gives u the answer.

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

Answer:

The answer would be $2.25

Step-by-step explanation:

If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75