hool: Practice & Problem Solving
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2.1.PS-13
Question Help
A contractor bought 8.2 ft? of sheet metal. She has used 2.3 f? so far and has $177 worth of sheet
metal remaining. The equation 8.2x - 2.3x = 177 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $ per square foot.

Answer: B

Step-by-step explanation: The two sides that get added together arent gonna be bigger than the third side

Answer:

b is correct

9^2 + 40^2 = 41^2

The shape that can be rotated to create a sphere is the circle (option C).

A sphere is a three-dimensional object with all points equidistant from its center. When a circle is rotated about its center axis, it creates a three-dimensional shape that perfectly matches the definition of a sphere.

Let's consider the other options and why they cannot be rotated to form a sphere:

A. Triangle: A triangle is a two-dimensional shape with straight sides. Rotating a triangle around any axis would not result in a three-dimensional shape with all points equidistant from its center, which is the defining characteristic of a sphere.

B. Square: Similarly, a square is a two-dimensional shape with straight sides. Rotating a square around any axis would not create a sphere, as it would still retain its flat, planar nature.

D. Ellipse: An ellipse is a two-dimensional shape resembling a squashed or stretched circle. Rotating an ellipse would not result in a sphere, as it would still retain its elliptical shape.

Therefore, the shape that can be rotated to create a sphere is the circle (option C) due to its symmetrical and curved nature.

To know more about sphere click here :

https://brainly.com/question/27821560

#SPJ2

Answer:

60 divided by -12 = -5

Hope this helps  

Answer:

30/5-2 = number of items in each lunch box before adding the 2 Oreos.

Step-by-step explanation:

30/5=6 items in each box

6-2 Oreos=4 item besides the Oreos

30/5-2 = number of items in each lunch box before adding the 2 Oreos.

Answer:

x = -5

Step-by-step explanation:

x = -20/4 = -5

Answer:

4x=-20

x= -20/4

x= -5

........................

Answer:

y=35x+60

slope-35 y intercept-60

proportional relationship

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 35x + 60

Slobe 35

y-intercept 60

The y-intercept is the start cost and the slope is how much it will go up per hour.

It is proportional because it is going up by 35 every hour

Answer:

x=11

Step-by-step explanation:

2x+5-27

step 1 subtract 5 from each side

2x=22

step 2 divide each side by 2

x=11

Answer:

2x=27-5

2x=22

2x/2=22/2

x=11

Answer:

B

Step-by-step explanation:

don't take my word for it

Answer:

x-10=y

Step-by-step explanation:

the output (y) is 10 less ( -10) than the input (x)

9514 1404 393

Answer:

  C)  800%

Step-by-step explanation:

The markup amount is the difference between the selling price and the cost:

  markup = selling price - cost

  markup = $63 -7 = $56

The percentage markup relative to the cost is ...

  markup/cost × 100%

  = ($56)/($7) × 100%

  = 8×100% = 800%

Answer:

y = 2

Step-by-step explanation:

m = (2 - 2)/(6 - (-6))

m = 0

there's no slope, so it's just 2

As you can see the 2 points have the same y coordinate that means the line passing through it is going to be a horizontal line with a consistent y level of -2.

The equation will be just what I said y=2

Hope this helped!

Answer:

$327.00 (total interest)

Step-by-step explanation:

This is simple interest

Converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

A = 300[1 + (0.03 × 3)] = 327

A = $327.00

Answer: 27.82

Step-by-step explanation: Based on Principal Amount of $300, at an interest rate of 3%, over 3 year(s):

Answer:

13

Step-by-step explanation:

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

13 = c

Answer:

x-intercept

Step-by-step explanation:

Answer:

The answer is 6x6x6.......…......

Given:

The set of ordered pairs is

{(0.5,2), (1.5,5), (4.0,12), (6.5,15)}

To find:

Which relation has the same domain as the given relation?

Solution:

We know that, domain is the set of input values or x-values.

For the given set {(0.5,2), (1.5,5), (4.0,12), (6.5,15)}, the domain is

Domain={0.5, 1.5, 4.0, 6.5}

Similarly,

For {(1,5),(2,2),(-3,15),(-8,12)},

Domain = {1, 2, -3,-8}

For {(0.5,1),(1.5,4),(4.0,11),(6.5,14)},

Domain={0.5, 1.5, 4.0, 6.5}

For {(2,1,1),(5,2.2),(12,3.3),(15,4.4)},

Domain = {2, 5, 12, 15}

For {(-1,6.5),(-3,1.5),(-6,4.0),(-10,0.5)}​,

Domain = {-1, -3, -6, -10}

So, the relation {(0.5,1),(1.5,4),(4.0,11),(6.5,14)} has the same domain as the given relation.

Therefore, the correct option is B.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

w=0 or w=9

Check possible critical points.

w=0(Doesn't work in original equation)

w=9(Works in original equation)Answer:

w<0 or w>9

Answer:

1.429

Step-by-step explanation:

1.429

.............

Answer:

Step-by-step explanation:

Subtract equation 2 from equation 1

.7x+y-(-1.5x+y)=340-320

.7x+y+1.5x-y=20

2.2x=20

x=100/11, then use this in either original equation to find y.

.7(100/11)+y=340

y=3670/11, so the balance point is

(100/11, 3670/11)

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

Answer:

D.

Step-by-step explanation:

If the triangle has one angle that is equal to 90 then it is a right triangle.

Answer:

27

Step-by-step explanation:

Answer:

he earns $7 per hour

Step-by-step explanation: