four fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the class?

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

Answer:

(-3,-8)

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hope it helped

Answer:

Answer is in the photo. I can only upload it to a file hosting service. link below!

is.gd/qKzpBU

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

Answer:

(2x+9)^2

Step-by-step explanation:

Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Answer:

[tex]n = \frac{t - 2}{3} [/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]t - 2 = 3n[/tex]

2) Divide both sides by 3.

[tex] \frac{t - 2}{3} = n[/tex]

3) Switch sides.

[tex]n = \frac{t - 2}{3} [/tex]

Therefor, the answer is n = t-2/3.

It is increasing by 11% for each application.

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

Answer:

First option seems to b correct..

Step-by-step explanation:

Given data set  shows following ...

Sample size: 12

Median: 22

Minimum: 6

Maximum: 30

First quartile: 13

Third quartile: 27.5

Interquartile Range: 14.5

Outliers: none

Basically box and whisker represents 5 things.In case of box and whisker  

The most left point of left side represents the Stating point of data smallest value

The most right  point of right side represents the ending point of data largest value of data

left side of box respresnts the Q1 lower quartile while right side represnts

the upper  quartile Q3 ..

And there is line somewhere in box  that represents the  medianof data set..

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

Learn more : https://brainly.com/question/24582786

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

Answer:

1:3

Step-by-step explanation:

.....................

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Answer:

a. a×3= -30

a= -30-3

a= 33

Answer:

v=13.56

Step-by-step explanation:

v - 4.6 = 8.96

v = 8.96 + 4.6

v = 13.56

Answer:

V=13.56

Step-by-step explanation:

hope it helps

have a great day

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.

Answer:

let angle e be x

x+4x+10=180°[by linear pair]

5x+10=180°

5x=180-10

5x=170

x=170/5

x=34

angle E=34°

angle E+angle C+angle D=180°[by angle sum property]

34°+70°+2x=180°

104°+2x=180°

2x=180°-104

2x=76°

angle d=76°

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠BEF  = ∠CFE             {Alternate interior angles}

5x - 10 = 4x + 20           {Subtract 4x from both sides}

5x - 4x - 10 = 20

        x - 10 = 20          {Add 10 to both sides}

             x  = 20 +10

x = 30°

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

Answer:

$44.80

Step-by-step explanation:

$56 * 0.2 (%20) = $11.20

$56 - $11.20 = $44.80

Step-by-step explanation:

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Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!