A birthday cake is cut into 8 slices. The arc length of one piece is 8.0 inches. What is the diameter of the cake? Round to the nearest tenth.

Answer:

Here's the equation:

0.125(500) + 500

But because it is 30 years:

30(0.125(500)) + 500

3.75(500) + 500

We can make it simpler:

4.75(500)

2375

You will have $2375

Step-by-step explanation:

Answer:

y - intercept = 4

Step-by-step explanation:

I'm not completely sure but I believe this should be right.

Answer:

-12.6

Step-by-step explanation:

Complete Question:

Leslie placed this ad in Collector Car Monthly.

1957 Chevrolet Nomad station wagon. Tropical

Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,

rebuilt transmission, restored two-tone interior.

Mint! Moving, sacrifice, $52,900. 555-4231

(a) If the publication charges $48 for the first three lines and $5 for each extra  line, how much will this ad cost Leslie?  

(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?

(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?

Answer:

[tex]Total = \$53[/tex]

[tex]Ruth = \$48668[/tex]

[tex]Sales\ Tax = \$2920.08[/tex]

Step-by-step explanation:

Given

[tex]Ad = 4\ lines[/tex]

[tex]Charges: \$48[/tex] --- First 3 lines

[tex]Additional: \$5[/tex] -- Extra lines

Solving (a) : Determine the total charge

The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line

So, the total charge is calculated as:

[tex]Total = 3\ lines + 1\ line[/tex]

[tex]Total = \$48 + 1 * \$5[/tex]

[tex]Total = \$48 + \$5[/tex]

[tex]Total = \$53[/tex]

Solving (b): How much does Ruth pay?

From the ads, the price of the car is:

[tex]Price = \$52,900[/tex]

And Ruth pays 8% less.

This means that she pays 92% (i.e. 100% - 8% = 92%)

So, the calculation is:

[tex]Ruth = 92\% * Price[/tex]

[tex]Ruth = 92\% * \$52900[/tex]

[tex]Ruth = \$48668[/tex]

Solving (c): The sales tax

[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]

[tex]Sales\ Tax = 6\% * \$48668[/tex]

[tex]Sales\ Tax = \$2920.08[/tex]

Answer:

c

Step-by-step explanation:

Answer:

0.5 = 50%, 3/4 = 75%

Step-by-step explanation:

Answer:

P = 3300 Watts

Step-by-step explanation:

The question says "An electric shower with any of our houses consumes 30A and is powered at 110V. what is the power consumed by the shower".

Current, I = 30 A

Voltage, V = 110 V

We need to find the power consumed by the shower. We know that power is given by the formula.

P = VI

So,

[tex]P=110\times 30\\\\P=3300\ W[/tex]

So, the required power is 3300 Watts.

Answer:

x = 6

Step-by-step explanation:

To find x, create an equation and solve for x.

60° + 90° + (7x - 12)° = 180° (sum of triangle theorem)

60 + 90 + 7x - 12 = 180

Add like terms

138 + 7x = 180

7x = 180 - 138

7x = 42

x = 42/7

x = 6

Answer:

52

Step-by-step explanation:

52x0.25=13

Answer:

52 quarters

Step-by-step explanation:

13 dollars x 100 cents

= 1,300 cents

1,300 cents / 25 cents

= 52 quarters

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

y = -x+5

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

Get the slope

Given the equation of the line as y = x

The slope of the line is m = 1

The slope of the line perpendicular =M =-1/1

M = -1

Using the slope M = -1 and the point (3, 2) to get the required equation;

y - y0 = m(x-x0)

y - 2 = -1(x-3)

y - 2 = -x+3

y+x = 3 + 2

y = -x + 5

Hence the required equation is y = -x+5

Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

In a few sentences, describe what this weather map tells you about the weather.

The map is given in the attached image.

The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.

This pattern could result in potentially cooler temperatures, increased chances of precipitation, and cloudy skies in the north, while the south may experience warmer temperatures, clear skies, and drier weather conditions.

Therefore, the required meaning of L and H is given above.

To learn more about the expression;

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Answer:

D. -7/3, 7/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

9x² - 49 = 0

Step 2: Solve for x

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

    P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] =  [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]   =  [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Answer:

63360

Step-by-step explanation:

==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.

Answer:

There are 63,360 inches in one mile.

Step-by-step explanation:

We multiply by the conversion factor:

1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.

Answer:

y=5x-9

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,-4). When x of the line is 1, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).

So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.

The equation of the line that passes through the point (1,-4) with a slope of 5

is

y=5x-9

Answer:

3

Step-by-step explanation:

We just plug in -4 for x to get the equation: -(-4)-1. Negatives cancel out and we get 4-1 which is 3

Answer:

g(-4) = 3

Step-by-step explanation:

Plug in -4 for x in the given equation:

g(x) = - x - 1

g(-4) = - (-4) - 1

Note that if there are two negative signs directly next to each other, it would become a positive. Therefore:

- (-4) =  4

Simplify:

4 - 1 = 3

g(-4) = 3 is your answer.

~

Answer:

2pi +6

Step-by-step explanation: First you can get the are of the triangle by doing (base *height)/2 this will be (3*4)/2 whcih is 6

Area of the half circle. To get the area of the circle u do radius^2*pi. this will be 2^2*pi in this example. so 4pi. because its half u have to to divide it by 2, so 4pi/2 is 2pi.

Now 2pi + 6 is the anwser

Answer:

78*78+30*30+20*20+72

7456

Step-by-step explanation:

Answer:

78 times 78 + 30 times 30 + 20 times 20 + 72 = 7456 meaning the answer is 7,456.

Step-by-step explanation:

Thank you! Have a great life! Stay safe! Byes!

Answer:

(Base)Height

(L*w) H

(5*6)11

(30)11

330u^3

Step-by-step explanation:

Formula, substitution, and answer as shown above

Answer:

Step-by-step explanation:

Another similar triangle.  then the sides that are the same are:

r /d =  p / b

r =30

d = 72

b  = 60

p = QR

30 / 72 = QR / 60

( 30 / 72 ) 60 = QR

1800 / 72 = QR

25 = QR

:)  glad they makes these work out to easy numbers.. I mean not some long decimal  

Answer:

Length of line AC = 24 cm

Step-by-step explanation:

Given:

Length of line AB = 10 cm

Length of line BC = 14 cm

Find:

Length of line AC

Computation:

We know that line AB and BC are two part of line AC

So,

AC = AB + BC

Length of line AC = Length of line AB + Length of line BC

Length of line AC = 10 + 14

Length of line AC = 24 cm

Answer:

First answer choice

Step-by-step explanation:

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

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Answer:

3 lbs

Step-by-step explanation:

can i get brainliest plz

Answer:

-0.125

Step-by-step explanation:

hopefully this helps

Answer:

a) attached below

b)  ( T,T )

c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )

Step-by-step explanation:

A) write down the game in matrix form

let: E = exit at the industry immediately

     T = exit at the end of the quarter

     N = exit at the end of the next quarter

matrix is attached below

B) weakly dominated strategies is ( T,T )

C) Find the pure-strategy Nash equilibria

The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

D ) Find the unique mixed-strategy Nash equilibrium

The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE

Assume that P is the probability of firm 1 exiting immediately ( E )

and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.

hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .

The expected utilities of E and N to firm 2 =

0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.