What is the radius of a sphere with a surface area of 314.2 square inches?
Use 3.14 for pi and round to the nearest whole number.

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

Value ($)

Total Value ($)

Student    

6

Adult    

9

1

,

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

−

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

Value ($)

Total Value ($)

Student  

s

6

6

s

Adult  

3

s

−

5

9

9

(

3

s

−

5

)

1

,

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

−

5

)

=

1506

Step 5. Solve the equation.

6

s

+

27

s

−

45

=

1506

33

s

−

45

=

1506

33

s

=

1551

s

=

47

students

Substitute to find the number of adults.

3

s

−

5

=

 number of adults

3

(

47

)

−

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

⋅

6

=

282

136

⋅

9

=

1224

_____

1506

✓

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Answer: 280 children

Explanation: Each grade has 70 kids. You have 4 total grades (3rd, 4th, 5th, and 6th grade). You have to add the number of kids you have in every grade. In this case, 70 children in 3rd grade, 70 children in 4th grade, 70 children in 5th grade, and 70 children in 6th grade. The problem would look like this:

70 + 70 + 70 + 70

Then your answer is 280 when you add them all together!

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

Step-by-step explanation:

BDC=95

Answer:

[tex] m\angle BDC = 95\degree [/tex]

Step-by-step explanation:

[tex] In\: \triangle ACD\: \&\:\triangle BDC[/tex]

[tex] m\angle A = m\angle B[/tex] (given)

[tex]\because m\angle A = 50\degree [/tex]

[tex]\therefore m\angle B = 50\degree [/tex]

[tex] m\angle ADC = m\angle BCD[/tex] (given)

[tex]\because m\angle ADC = 35\degree [/tex]

[tex]\therefore m\angle BCD= 35\degree [/tex]

[tex] In\: \triangle BDC[/tex]

[tex] m\angle BDC = 180\degree - (m\angle B+m\angle BCD) [/tex]

(By angle sum postulate of a triangle)

[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]

[tex] m\angle BDC = 180\degree - (50\degree +35\degree ) [/tex]

[tex] m\angle BDC = 180\degree - 85\degree [/tex]

[tex] m\angle BDC = 95\degree [/tex]

Answer:

She would have to pay $48.87 a month for six months.

Step-by-step explanation:

293.22 ÷ 6 = 48.87

Answer:

$48.87

Step-by-step explanation:

For example, if it was a backruptcy we would need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term

180 = P * 2% * 1

180 / 2% = P

9,000 = Principal

Benson pays an additional interest of  9,000 each year. Monthly payment of 750.

9,000 / 12 months = 750 per month.

But since we are just dividing the answer will be 293.22 ÷ 6 = 48.87

Answer:

Decay

Decay

Growth

Decay

Decay

Growth

Step-by-step explanation:

Answer:

48 ft^2.

Step-by-step explanation:

In this case, our formula is known as 3s^2 which can be written out as 3 x s x s or 3(s x s). S is the variable to represent our length and width because the formula for finding the area is l x w which can be written out as length x width. If the total area of each garden bed has a length of 4 feet, our equation would be 3(4 x 4) or 3 x 4 x 4 or 3(4)^2. 4 x 4 or 4^2 is 16. If we multiply 16 by 3, the answer would be 48. That is why the total area of each garden bed would be 48 ft^2.

Answer:

I think the answer is D

Step-by-step explanation:

Answer:

$3,784

Step-by-step explanation:

Answer:

H. 13.5 in²

Step-by-step explanation:

[tex]V=LWH/3[/tex]

[tex]V=(3)(3)(4.5)/3[/tex]

[tex]V=13.5 in^{2}[/tex]

--------------------

hope it helps...

have a great day!!

Answer:

y= -7x + 35

Step-by-step explanation:

(y - 7) = -7(x - 4)

y-7 = -7x + 28

y = -7x + 35

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

Answer:

84 or 90 i say 90

Step-by-step explanation:

thses are the closest ones

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

Answer: Part-to-part

Step-by-step explanation:

This is a part-to-part, because they show part of apples, and part of oranges. This ratio when set up is 4:3. If the ratio was part-to-whole, then the apples would be compared to the total amount of oranges and apples. The ratio for part-to-whole would be 4:7.

Hope this helps!

Answer:

the answer is 2

Step-by-step explanation:

3(2)+6(2)=

6+12=18

This expression is not factorable with rational numbers

3 7/10 + 5 4/10 = 8 11/10 = 9 1/10

so estimate = 9

actual answer = 9 1/10

yes, his answer is reasonable

brainliest or a thank you please :)) <33

Answer:

Part A: y=2x-1

Part B: -1

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

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Answer:

Exponential growth

Step-by-step explanation:

Answer:88

Step-by-step explanation:

1.10c+2.35s=294.20

C+S=172

1.10c+2.35s=294.20 if you multiply by 100.

110c+235s=29420

-110 (cones + sundaes =172)

-110c-110s=-18920

125s/125=10500/125

S= 84

C+84=172

-84. -84

C= 88

Answer:

It's not true because 18 cups will only last 12 days, not 27 days.

Step-by-step explanation:

1 1/2 = 3/2

3/2(27) = 40.5 cups

18 = 3/2c

c = 12

The answer is D.

Center is (-3, 5) and Radium is 5

Answer:

50%

Step-by-step explanation:

Its a deck and its suffled

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7s and 4 queens so

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

Answer:

This is false.  (1, 10) is not a solution of this inequality

Step-by-step explanation:

Copy down the inequality:

y < 8x + 2

Now substitute 10 for y and 1 for x:

10 < 8(1) + 2  or 10 < 8 + 2

This is false.  (1, 10) is not a solution of this inequality

Answer:

False is the answer.

Step-by-step explanation: