Work out value x 4x 5x angles

Answer:

θ= 39.7° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Given:

Admission to the local movie theater is $3 for each child and $7 for each adult.

A group of 12 people pay $64 admission.

To find:

The number of children in a group.

Solution:

Let the number of children be x and number of adults be y.

According to the question,

Total persons : [tex]x+y=12[/tex]          ...(i)

Total cost : [tex]3x+7y=64[/tex]     ...(ii)

Multiply equation (i) by 7 and subtract the result from (ii).

[tex]3x+7y-7(x+y)=64-7(12)[/tex]

[tex]3x+7y-7x-7y=64-84[/tex]

[tex]-4x=-20[/tex]

Divide both sides by -4.

[tex]x=5[/tex]

Therefore, the number of children is 5.

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

The simplified answer is 3/4. A simplifies to 2/3. B simplifies to 3/4. C simplifies to 3/4. D simplifies to 3/4. To get my answer I divided  all of the fractions and saw which ones equalled .75 .

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

Answer:

Step-by-step explanation:

3k+30=95+k+2k-5

3k+30=100+3k

  -30   -30

3k=70+3k

-3k          -3k

k=70

Answer:

1 foot = 0.000189394 miles

Step-by-step explanation:

The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.

Since,

1 foot = 0.000189394 miles

Let us assume that the distance between the two houses is 500 feet, then;

1 foot = 0.000189394 miles

500 feet = x miles

x = 500 x 0.000189394

  = 0.094697

So that for the considered example, the distance is approximately 0.095 miles.

Thus, the required conversion factor is;

1 foot = 0.000189394 miles

Answer:

12

i think this correct answer

Answer:

x(x-8)(x+8)

Step-by-step explanation:

it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64

Answer:

Step-by-step explanation:

a

Answer:

your answer is A 64

Step-by-step explanation:

there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64

Answer:

He needs to learn the disciplinary principal

Step-by-step explanation:

The principal is necessary to generate this amount of monthly income is $497.

Given that, Jack wants to retire with $1,000 per month.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]

⇒ 1000 =P[tex](1+0.06)^{12}[/tex]

⇒ 1000=P×2.012

⇒ P=1000/2.012

⇒ P=$497

Hence, the principal is necessary to generate this amount of monthly income is $497.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

Answer:

X=18

Step-by-step explanation:

Isosceles means two sides are equal. In this case AC and BD are the same. So put both equations equal to each other and solve

Answer:

the answer will be 18 it is correct answer

Answer:

1.25

Step-by-step explanation:

adding a positive to a negative it would go down to 1.25

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x

f(2) = 4 - 2(2) = 4 - 4 = 0

Answer:

f(2) = 0

Step-by-step explanation:

Put 2 in the place of x,

f(2) = 4 - 2(2)

f(2) = 4 - 4

f(2) = 0

Answer: a) 10

Step-by-step explanation:

Buscando en google, encuentro que la expresión es:

C(x) = 9*x^2 - 80*x - 100

Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:

9*x^2 - 80*x - 100 = 0.

Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:

a*x^2 + b*x + c = 0

Las soluciones son:

[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]

en este caso, tenemos:

a = 9

b = -80

c = -100

Entoces, las soluciones van a ser:

[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]

Entonces las dos soluciones son:

x = (80 - 100)/18 = -20/18 = -10/9

Esta solución la descartamos, pues es negativa. La otra solución es:

x = (80 + 100)/18 = 180/18 = 10

La opción correcta es a: 10

Answer:

2m, 14m, 26m, 38m, 50m

Step-by-step explanation:

In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...

1st Tree: 2m

2nd Tree: 2m + 12m = 14m

3rd Tree: 14m + 12m = 26m

4rth Tree: 26m + 12m = 38m

5th Tree: 38m + 12m = 50m

Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m

Answer:

1. Number 1 and 2 and 4 is a function, 2. number 1 is a function

Step-by-step explanation:

1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.

2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.

Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.

Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.

Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.

The vertical test is a way to determine if it is a function.

When looking at a table functions are one-to-one and many-to-one

Non-functions are one-to-many and many-to-many

Hoped this helped you : )

Answer:

358.2

Step-by-step explanation:

thats the answer because .21=.2

Answer: Strawberry

Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

Answer:

3.2135 x 10^2 if you're looking for scientific notation

Step-by-step explanation:

Answer: $11836.8

Step-by-step explanation:

Given. That :

Amount invested = $5000

Interest rate = 9% = 0.09

Period = 10 years, compounded annually

Using the compound interest formula :

A = p(1 + r/n)^nt

A = final amount

P = principal or invested amount

r = rate of interest

n = number of times interest Is applied per period

t = period

A = 5000(1 + 0.09/1)^(1*10)

A = 5000(1.09)^10

A = 5000 * 2.36736367459211723401

A = 11836.81837296058617005

= $11836.8

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

Answer:

Yes, it is still a line

Step-by-step explanation:

The slope of the line is not changed, just the y-intercept. It started as a line, therefore translating it up will have it still remain as a line

Answer: 60

Step-by-step explanation:

From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .

To calculate the number of mountain bikes that the store has goes thus:

= 2/3 × 90

= 2 × 30

= 60 mountain bikes

Answer:

d

Step-by-step explanation:

just look at where both boxes are placed

Answer:

Choice B

Step-by-step explanation:

It shows that in 5 mins they can package 125 boxes, and if there was 1000 mins they would package a x number of boxes.

I assume that it is 1, 3, 4, and 5. Correct me if I'm wrong. Plz give brainliest if I'm right.

Answer:

1. “It was the most thrillingist one that ever was; and so he went on a-bragging

3 “He will be deeply obleeged if they will mention it to their friends.”

4.“We are sold – mighty badly sold.”

6. “These Arkansaw lunkheads couldn’t come up.”

Step-by-step explanation:

Edge-2021

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.