For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x – 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.

Answer:

Table of charges:

KWh                                                        0       5           10          15           20    

Basic charge (cents)                          11.60    11.60     11.60      11.60       11.60

Charge for first 10 kWh (4.59cents)    0     22.95   45.90    45.90     45.90

Additional usage above 10 kWh          0       0           0         48.55      97.10

(9.71 cents)

Total (cents)                                     11.60   34.55   57.50   106.05    154.60

cost (dollar)                                       0.12     0.35      0.58   1.06         1.55

KWh                                                           25           30          35           40

Basic charge (cents)                               11.60        11.60        11.60        11.60

Charge for first 10 kWh (4.59cents)    45.90      45.90       45.90      45.90

Additional usage above 10 kWh         145.65    194.20    242.75     291.30

(9.71 cents)

Total (cents)                                        203.15    251.70     300.25    348.80                                  

cost (dollar)                                         2.03        2.52          3.00       3.49

Step-by-step explanation:

a) Data:

Basic charge = 11.6 cents (0.116)

Charge for the first 10 kWh = 4.59 cents (0.0459)

Charge for additional usage above 10 kWh = 9.71 cents (0.0971)

b) Each kWh consumed or not attracts the basic charge of 11.6 cents.  The first 10 kWh consumed is billed at 4.59 cents, while the additional kWh consumed is charged at 9.71 cents.  The charge per consumption is first totaled in cents before being converted to dollars by dividing by 100.

Answer:

y = 1/2x + 1

Step-by-step explanation:

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

Answer:

144 coins counting the nickels 132 not counting the nickels

Step-by-step explanation:

Answer:

W=P-2L / 2

Step-by-step explanation:

P=2(L+W)

P=2L+2W

-2L -2L

P-2L=2W

W=P-2L / 2

Answer:

radius r = 3.414 in

height h = 6.8275 in

Step-by-step explanation:

From the information given:

The volume V of a closed cylindrical container with its surface area can be expressed as follows:

[tex]V = \pi r^2 h[/tex]

[tex]S = 2 \pi rh + 2 \pi r^2[/tex]

Given that Volume V = 250 in²

Then;

[tex]\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}[/tex]

We also know that the cylinder contains top and bottom circle and the area is equal to πr²,

Hence, if we incorporate these areas in the total area of the cylinder.

Then;

[tex]S = 2\pi r h + 2 \pi r ^2[/tex]

[tex]S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2[/tex]

[tex]S = \dfrac{500}{r} + 2 \pi r ^2[/tex]

To find the minimum by determining the radius at which the surface by using the first-order derivative.

[tex]S' = 0[/tex]

[tex]- \dfrac{500}{r^2} + 4 \pi r = 0[/tex]

[tex]r^3 = \dfrac{500 }{4 \pi}[/tex]

[tex]r^3 = 39.789[/tex]

[tex]r =\sqrt[3]{39.789}[/tex]

r = 3.414 in

Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:

[tex]S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi[/tex]

[tex]S'' = \dfrac{1000}{r^3}+ 4 \pi[/tex]

Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.

Thus, from [tex]h = \dfrac{250}{\pi r^2}[/tex]

[tex]h = \dfrac{250}{\pi (3.414) ^2}[/tex]

h = 6.8275 in

Answer:

the answer is 131.4

Step-by-step explanation:

32.85/3= 10.95

10.95×12= 131.4

Answer:

$4.05

Step-by-step explanation:

For this problem, all you need to do is subtract $21.45 from $25.50.

Answer:

4.05

Step-by-step explanation:

cause i know i know already

Answer:

$28

Step-by-step explanation:

20 * 1.4 = 28

Hence, the answer is $28.

Answer: 8

Step-by-step explanation: Given: the price is 20 dollars and if we mark it up the revenue is 28

Answer:

55 ft.

Step-by-step explanation:

First find the area of Lot X

67 • 70 = 4,690

Subtract the are of Lot X from the total area

8,375 - 4,690 = 3,685

3,685 is the area of Lot Y

Now divide 3,685 by the length of Lot Y : 67

3,685 ÷ 67 = 55

The width of Lot Y is 55 ft.

Hope this helps!

Answer:

43.5

Step-by-step explanation:

217.5/5

43.5

Answer:

2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation: Because when you count them down to 3/5 It's more in the negative.

Answer: -2

Step-by-step explanation:

Plug in: 3^2-4^2+5=9-16+5=-2

Answer:

-2

Step-by-step explanation:

a=3

b=4

c=5

so your awnser if you use desmos calculator woukd be -2

Step-by-step explanation:

Kris bought a 6 pack water for =4.79$

So,

1 unit of water bottle =[tex]\tt{\dfrac{4.79}{6}=0.798333....=0.80\$ }[/tex] ⠀

Answer:

the factors of 42 in pairs are (1, 42), (2, 21), (3, 14) and (6, 7).

Step-by-step explanation:

May I get brainelist?

Answer:

B. 50

Step-by-step explanation:

For two stilts, you'd multiply 13 by two.

2(13) = 26

For twelve rungs you multiply 2 by 12.

12(2) = 24

Then you add the two numbers together to see how much would she needs.

24 + 26 = 50

This gives you the answer, which is equivalent to B.

Answer:

B. 50

Step-by-step explanation:

For two stilts, you'd multiply 13 by two.

2(13) = 26

For twelve rungs you multiply 2 by 12.

12(2) = 24

Then you add the two numbers together to see how much would she needs.

24 + 26 = 50

This gives you the answer, which is equivalent to B.

Answer:

Not sure I understand your question.

If the tax rate is 6.25% and you need the tax from $73.97, tax is:

= 6.25% * 73.97

= $4.62

Converting 6.25% to decimal.

First understand that when a percent sign(%) is next to a number it means that the number is a fraction and its denominator is 100.

6.25% = 6.25/100

To convert to decimal, divide the numerator by the denominator:

= 6.25 ÷ 100

= 0.0625

Answer: F

Step-by-step explanation: 5+6+7x8=67

Answer:

1/5 . 950

This is cause 20% =20/100 and when reduced it is 1/5

Answer:

12.2

Step-by-step explanation:

7^2 + 10^2 = C^2

49 + 100 = C^2

149 = C^2

√149 = 12.2

C= 12.2

Answer:

5 units

Step-by-step explanation:

if they are congruent that means that the corresponding sides have the same lenghts. in this case ad's corresponding side is bc, which is 5 units and so is ad respectively

Answer:

Step-by-step explanation:

so, i might be wrong but i hope this helps.

The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

Answer:

12 ounces butter

16 ounces sugar

20 ounces flour

8 eggs

4 teaspoons baking powder

Step-by-step explanation:

just times everything individually by 4

Answer:

2.3 A

Step-by-step explanation:

Its 2.3 what am I supposed to say

Answer:

y = 51.3°

Step-by-step explanation:

tan y = 10 / 8

tan^-1 = 51.3