Write an expression for the sequence of operations described below add 3 to b, then triple the result

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x)                                40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x)                          500 fix fee & 20 per person (student) = 500 + 20x

Answer:

isosceles trapezoid, it has one pair of parallel sides and the other sides are equal in length

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

3x-5+6x+14=180

9x+9. =180

9(X+1).= 180

X+1. =20

X= 19

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

Step-by-step explanation:

The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.

Use the formula above to calculate the value:-

Arc length = ∅/360 × 2πr

21.5  = ∅/360 × 2π ( 7.5 )

∅ = ( 21.5 x 360 ) / 2π ( 7.5 )

∅ = 164 degrees

Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

Learn more about the arc length on:

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Answer:

[tex]5.1[/tex] units

Step-by-step explanation:

(4, 4) & (9, 3)

To find the distance of two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Let's plug in what we know.

[tex]d = \sqrt{(9 - 4)^2 + (3 -4)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(5)^2 + (-1)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(25) + (1)}[/tex]

Add.

[tex]d = \sqrt{(26)}[/tex]

Evaluate the square root.

[tex]d = \sqrt{26}[/tex] or [tex]5.0990[/tex] units

Round to the nearest 10th.

[tex]5.1[/tex] units

Hope this helps!

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Answer:it’s 1/4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Answer:

A. 69

C. 42

Step-by-step explanation:

Angle A is similar to angle C, so that makes that angle 69. With two angles figured out, we can just use basic math to find the last.

The total of all triangle angles will always be 180 degrees. Knowing this...

180-69-69=42

Thus, the angles are 69,69, and 42

Answer:

40!

Step-by-step explanation:

CE is 12

CD and ED are congruent so they're both 14

12 + 14 + 14 is 40

V= 4 i mean thats the best i can give sorry good luck pretty sure its right

Answer:

30.2 is the answer (use distrubutyion in this problem)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x + 4y = 12

4y = -3x +12

y = (-3/4)X + 12/4

y = -[tex]\frac{3}{4}[/tex]X  + 3

Answer:

12. (8(2.5)-3)

(20-3)

y=17in

10. 3x+1+92=180

3x+93=180

3x=180-93

3x=87

x=87/3

x=29°

11. (6(2.5)+2)

(15+2)

G=17

Answer:

#10 I think its 14.3

#11 GI=16

#12 AC =17

Step-by-step explanation:

180-92=88 divided by 2=44

6x2.5=15+2=17

8x2.5=20-3=17

Answer:

Quadrant III

Step-by-step explanation:

Quadrant I = 1 - 90°

Quadrant II = 91 - 180°

Quadrant III = 181 - 270°

Quadrant IIII = 271 - 360°

Answer:

Your answer is B

Step-by-step explanation:

First we have to find the Y intercept, which is -2.

Then you have to find the slope. Rise/Run

If you count up 5 and left 2 you get your next point. Meaning that 5/-2 is your slope.

Answer:

c

Step-by-step explanation:

Answer:

1.

[tex] - 2x + 24 = 93 \\ 2x - 24 = - 93 \\ 2x = - 69 \\ x = - 34.5[/tex]

2.

[tex]1.5x - 1.1 = 3.4 \\ 1.5x = 4.5 \\ x = 3[/tex]

Answer:

245,564people

Step-by-step explanation:

The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?

We solve for the above question using the formula for Exponential decrease. =

P(t).= Po(1 - r)^t

Where

P(t) = ?

Po = Initial population = 314159

r = 2.7% = 0.027

t = time = 9 years

P(t) = 314159(1 - 0.027)⁹

= 245564.2088

Approximately to the nearest whole number = 245,564people

Answer:

$0.42

Step-by-step explanation:

create a proportion:

13/.78 = 7/x

cross-multiply to get:

13x = 7(.78)

13x = 5.46

x = 5.46/13

x = .42

Answer:

9.5

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Adding 6 and 3 gives you the full length of the long side of rectangle  and since 3 is the radius of the circle, the short side if the rectangle would also be equal to 3.

So, the long sides equal 9 and the short sides are 3, making the perimeter 18

The perimeter of the rectangle is P = 24 units

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be P

Now , the width of the rectangle = radius of circle

W = 3 units

And , the length of the rectangle is L = 6 + 3 = 9 units

And , Perimeter P of rectangle = 2 ( Length + Width )

On simplifying , we get

P = 2 ( 9 + 3 )

P = 2 x 12

P = 24 units

Hence , the perimeter is 24 units

To learn more about perimeter of rectangle click :

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Answer:

Step-by-step explanation:

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