C
Which steps are needed to solve this equation?
✓x
b-21 = 177
O Subtract 21 from the left side and add 21 to the right side of the equation.
The answer is b= 198.
Check the solution by substituting 198 for b.
Add 21 to the left side and subtract 21 from the right side of the equation.
The answer is b= 156.
Check the solution by substituting 198 for b.
O Subtract 21 from both sides of the equation.
The answer is b= 156.
Check the solution by substituting 156 for b.
O Add 21 to both sides of the equation.
The answer is b= 198.
Check the solution by substituting 198 for b.

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

Answer:

 C.  x ≥ 5

Step-by-step explanation:

You must meet both conditions:

 (x -5) ≥ 0 and (x +2) ≥ 0

For the first condition, ...

 x ≥ 5 . . . . add 5 to both sides

For the second condition ...

 x ≥ -2 . . . . subtract 2 from both sides.

Since both conditions must be met, we must have ...

 x ≥ 5

i hope this helps :)

Answer:

The last 1 (D)

Step-by-step explanation:

The lines have to be straight nd have to pass through the origin

Answer:

i have this problem before and i believe it was c and if not b

Step-by-step explanation:

Answer:

Ether C or D. hope this helps

Answer:

yes, by AAA~

Step-by-step explanation:

to find the missing angles subtract 180 - 125 - 27 = 28

then we have all of the angles and we can see they are congruent

Answer:

3/14

Step-by-step explanation:

This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14

Answer:

here u go

Step-by-step explanation:

Answer:

150 ft

Step-by-step explanation:

The formula for area is, height x width (h x w) or base x height (b x h)

10 feet is the base and 15 is the height, multiply those and you get 150

Answer:

I think it's 42.4 hope this helps

Answer:

42.4 hope this helps

Step-by-step explanation:

Answer:

y=x-5

Step-by-step explanation:

2x-2y=10

1.) subtract 2x from both sides

-2y=-2x+10

2.) Divide by -2 to get y by itself

y=x-5

Answer:

y= x+5

Step-by-step explanation:

y =mx+b is slope intercept form

Answer:

Step-by-step explanation:

Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:

Answer: 1.25

Step-by-step explanation: you gotta divide 50 and 40.

4 days = 96 hours.......

Answer:

the correct answer is 40x-16

Step-by-step explanation:

here,

=4(10x-4)

=40x-16

Answer:

I got 32.25

Step-by-step explanation:

I did .23 times 10 then added on to 29.95

Answer:

32.25$

Step-by-step explanation:

i did the math

29.95

plus

.23*10= 2.30

29.95 plus 2.30= 32.25

this is why I think it's the answer but plz tell me if I'm wrong

Answer:

The light blue/greenish one that says T=PV/K or Greeland

Step-by-step explanation:

We can make the equation more simplier by multiplying both sides by P to remove fractions.

It would become VP=KT

The only answer with VP or PV is B, or the T=PV/K

also, to isolate T, divide the VP=KT by K on both sides to isolate T.

VP/K=T

Answer:5x^(2)-21x+4

Step-by-step explanation:

Answer:

$700 for 35 people but if you want to add the fee it will be $850

Answer:

x=-9

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

i used a calculator & it was 0 meters

Answer:

Step-by-step explanation:

If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h

48 miles/hour

or

24 miles...............................30 min

? miles in .............................60 min

(60*24)/30=48

Answer:I think it’s B

Step-by-step explanation:

If I get this wrong i’m sorry

Answer:

9

Step-by-step explanation:

[tex] \frac{18}{10} = \frac{?}{5} \\ \\? = \frac{18 \times 5}{10} \\ \\? = \frac{90}{10} \\ \\ ? = 9[/tex]

Answer:9

Step-by-step explanation:because if you divide 10 by 2 it’s 5 and if you divide 18/2 it’s 9

Given:

Amount in the savings account = 4300

Each week, Raul pays the dog sitter 30 from his savings account.

To find:

The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.

Solution:

Let x be the number of weeks.

Raul pays the dog sitter in 1 week = 30

Raul pays the dog sitter in x week = 30x

Remaining amount = Initial amount - Amount he pays the dog sitter

[tex]f(x)=4300-30x[/tex]

Therefore, the required function is [tex]f(x)=4300-30x[/tex].

Answer:

The answer is 528..

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is

[tex]x=-3[/tex]

Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.

The boundary line is a dotted line. So, x=-3 is not included in the solution set.

So, the required inequality is

[tex]x<-3[/tex]  

Therefore, the correct option is B.