The student council sold 140 sodas for $175.00 at the fall festival. What is the cost per soda?

We need slope

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{3-2}{-4-0}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{1}{-4}[/tex]

Answer:

942ft^2

Step-by-step explanation:

Use the equation (θ/360)*[tex]\pi[/tex][tex]r^{2}[/tex] to get the area of the shaded sector.

(120/360)*[tex]\pi[/tex]*[tex]30^{2}[/tex]

(1/3)*[tex]\pi[/tex]*900

≈942[tex]ft^{2}[/tex]

The area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle shown in the picture.

The area of the shaded region:

[tex]\rm A = \dfrac{120}{360}\pi (30)^2[/tex]

A = 942.47 ≈ 942 square ft

Thus, the area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.

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Answer:

The left side 2 does not equal to the right side − 2 , which means that the given statement is false. False

Step-by-step explanation:

Hopefully this helps :)

Answer:

C ≈ 31.4 in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = π × 10 ≈ 31.4 in ( to the nearest tenth )

Answer:

I think 2

Step-by-step explanation:

I think 2 tell me if I'm wrong

Answer: C.  0.3

Step-by-step explanation:

To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:

= 1/3

= 1 ÷ 3

≈ 0.3333333

Therefore, the solution to 1/3 as a decimal is as follows:

1/3 ≈ 0.3333333

Answer:

0.3

Step-by-step explanation:

Use “Bus stop” long division.

1/3 is the same as saying 1÷3, or “how many times does 3 go into 1”

3|1.000

How many times does 3 go into 1? Zero remainder one. We take the one over into the next column. So now we have:

3|0.1000

0

So, how many 3s go into 10? Three with one remaining. We take the one into the next column again.

3|0.0100

0.3

How many 3s go into 10? 3 again, remainder 1.

3|0.0010

0.33

This process continues until you end up with no remainder - but that doesn't ever happen in the decimal expansion of 1/3,

1/3=0.333… with recurring (infinitely repeating) 3s, and that's why we tend to prefer factions where we can use them.

1/3=0.3

I HOPE THIS HELPED YOU.

Answer:

-2, -10, and -3

Step-by-step explanation:

-2, -10, and -3 are all colder than -1.

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Answer:

a , d , e

Step-by-step explanation:

Answer:

ok so

Step-by-step explanation:

you would go through the answers and determine the answer by trying to imagine those answers at the end of the problem and which ever one matches up will be the answer

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Answer:

he was selling balloons 45 / day

Step-by-step explanation:

sold 720 ballons in 16 days.

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period (T): the time it takes to travel one wave

= 2π - (-10π)

= 12π

Answer:

Step-by-step explanation:

£63 = 135 × 63

       = Rs . 8505

Rs . 8505 = 8505 / 105

                 = $81

Answer:

(x,y) --> (x+5, y)

Step-by-step explanation:

You are moving the image 5 units to the right so you would add 5 to each x coordinate.

Answer:

[tex]\sf \dfrac{2}{3} \ is \ the \ change \ per \ minute \ in \ the \ amount \ of \ water.[/tex]

explanation:

[tex]\sf unit \ rate : \dfrac{y_1-y}{x_1-x}[/tex]

[tex]\sf unit \ rate : \dfrac{7-5}{3-0}[/tex]

[tex]\sf unit \ rate : \dfrac{2}{3}[/tex]

Answer:

-2/3 gallons/min

Step-by-step explanation:

let x = time in minutes

let y = volume of water in gallons

when x = 0, y = 7

when x = 3, y = 5

[tex]\mathsf{rate \ of \ change \ = \dfrac{change \ in \ y}{change \ in \ x}=\dfrac{7-5}{0-3}=-\dfrac23 \ gallons/min}[/tex]

Answer:

B

Step-by-step explanation:

The Law of Sines states that

sinA/a = sinB/b = sinC/c

We know A, a, and b. Given this, we can solve for B, and given that, we can solve for C and then c.

First, we solve for B.

sinA/a = sinB/b

sin(15°)/6 = sinB/8

sin(15°)/6 * 8 = sinB

arcsin(sin(15°)/6 * 8) = B ≈ 20.187

Note that there can be a second B value. We can check if there is a second B value by first subtracting the B value we got from 180.

180 - 20.187 = 159.813

Next, we can add that to our existing angle, A = 15°. If that is less than 180, then we do have a second solution. 159.813 + 15 = 174.813 < 180 so there does exist a second solution where B = 159.813

Next, we can solve for C.

We know that the angles in a triangle add to 180°, so A + B + C = 180. Therefore, for the first solution:

15 + 20.187 + C = 180

C = 180 - 15 - 20.187 = 144.813°

and for the second:

15 + 159.813 + C = 180

C = 180 - 15 - 159.813 = 5.187

Finally,

sinA/a = sinC/c

multiply both sides by c to no longer have it as a denominator

sinA * c / a = sinC

divide both sides by (sinA/a) to isolate c

for the first solution:

c = sinC*a/sinA = 13.35868 ≈ 13.36

and for the second:

c = sinC*a/sinA ≈ 2.10

Answer:

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Divide total price by number of pencils:

23.28 / 24 = $0.97 per pencil

Answer:

[8] 3

[9] 12

[10] 64

Step-by-step explanation:

[8] [tex]\frac{5(6)}{10}[/tex] = 3

[9] [tex]\frac{1}{2}(4)(6)[/tex] = 12

[10] [tex]4(6+10)=[/tex]64

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Answer:

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Answer:

5.1 inches

Step-by-step explanation:

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Amount is Rs. 1080 , Time Period is given 1 year , Rate of Interest is 8 % . And, we have been asked to calculate the Principal .

For calculating the Principal , we will use the Formula :-

[tex] \bigstar \: \: \boxed{ \sf{ \: Simple \: Interest \: = \: \dfrac{P \times R \times T}{100} \: }} \\ [/tex]

Where ,

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \sf{Simple \: Interest \: = \: \dfrac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 \: \times \: 1}{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 }{100} } \\ [/tex]

[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8 \times 1} } \\ [/tex]

[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8} } \\ [/tex]

[tex] \longmapsto \: \: \textbf {\textsf {Principal \: = \: Rs. \: 135 }} \\ [/tex]

[tex] \underline {\rule {200pt} {4pt}} [/tex]

The principal amount of 1080 in one year at the rate of 8% per annum is 135.

Simple interest is the credit of income associated with a deposit or an investment.

The formula for calculating the simple interest is:

[tex]\mathbf{S.I = \dfrac{P \times R \times T}{100}}[/tex]

where:

Making the principal the subject from the simple interest, we have:

[tex]\mathbf{P = \dfrac{100 \times S.I}{R \times T}}[/tex]

[tex]\mathbf{P = \dfrac{1080}{8 \times 1}}[/tex]

P = 135

Therefore, we can conclude that the principal amount of 1080 in one year at the rate of 8% per annum is 135.

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Answer: the answer is 10%

Step-by-step explanation: 1/10. You have to get the denominator to 100 so, you would x10 the debonair. You do the same to the top and get 10/100. So, 10%

Answer:

10%

Step-by-step explanation:

So if 100% is one then what 100/10?

Answer:

the answer is 28 feet

Step-by-step explanation:

hdhbsn

Answer:

1 =68

2=68

3=125

Step-by-step explanation:

1.all interior angles adds up to 180:

180-39-73=68

2. opposite angles are equal so angles 1 and 2 are opposite therefore they are equal.

3. the sum of angles in a quadrilateral adds up to 360. so 360 - 90 - 68 -77= 125

Answer:

50 percent of 24 is 12. 3.

Step-by-step explanation:

50 percent *24

= (50/100)*24

= (50*24)/100

= 1200/100 = 12

Now we have: 50 percent of 24 = 12

Question: What is 50 percent of 24?

We need to determine 50% of 24 now and the procedure explaining it as such

Step 1: In the given case Output Value is 24.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 24 = 100%.

Step 4: In the Same way, x = 50%.

Step 5: On dividing the pair of simple equations we got the equation as under

24 = 100% (1).

x = 50% (2).

(24%)/(x%) = 100/50

Step 6: Reciprocal of both the sides results in the following equation

x%/24% = 50/100

Step 7: Simplifying the above obtained equation further will tell what is 50% of 24

x = 12%

Therefore, 50% of 24 is 12

Work Shown:

(2/3)*60 = (2*60)/3 = 120/3 = 40

Notice how 40/60 = 2/3

Answer: i thinks its C

Step-by-step explanation:

Answer:

25%

-step explanation: