At a local discount theatre, tickets to the film The
Early Bird Gets the Sleepiest cost only $2.50 for
adults and $1 for children. If 19 people attended
the last showing and the theatre sold $40 worth of
tickets:
a.) How many adults attended the showing?
b.) How many children attended the showing?

Answer:

6 hours before lunch

Step-by-step explanation:

Let x = hours before lunch

after lunch = 1/3x

Total time worked = 8 hours

x+1/3 x = 8

Combine like terms

4/3x = 8

Multiply each side by 3/4

3/4 * 4/3x = 8 * 3/4

x = 6

6 hours before lunch

Answer:

The carpenter worked 3x, or 6 hrs, before lunch.

Step-by-step explanation:

Represent the time worked before lunch as 3x and the time worked after lunch as x.  Then 3x + x = 8 hrs, and so:

4x = 8 hrs, and

x = 2 hrs

The carpenter worked 3x, or 6 hrs, before lunch.

Answer:

The correct options are;

Lines l and n are perpendicular

Lines m and n are perpendicular

Step-by-step explanation:

Where two lines l an m are said to be perpendicular to a given line n, then we have;

1) When  l and m are in different planes,

a) l and m can be parallel lines to each other or

b) l and m can be perpendicular to each other or

c) l and m can be at an angle x, to each other

2) When l and m intersect with the line n at a point p, then, we have;

l and m must be in the same plane with each other.

Answer:

B. 18

Step-by-step explanation:

Base: 3-(-6)=9

Height: 6-2=4

Area =1/2bh = 1/2(9)(4)= 18 square units

Answer: C) 6

================================================

Explanation:

2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3

So we really have 3 & 2/3 added onto 2 & 1/3

The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.

The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6

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

Using your calculator

3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately

adding this onto 2.333 leads to

3.667 + 2.333 = 6

Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add

The sum of the given fraction is 6. Therefore, option C is the correct answer.

Given that, 3 2/3 + 2.3333....

We need to find the sum of the given fractions.

To add fractions follow these steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), and put that answer over the denominator.

Step 3: Simplify the fraction (if possible).

Now, 2.3333.... can be written as

x=2.333.... ------(1)

10x=23.333.... ------(2)(Multiply by 10 to both sides of the equation)

Subtract equation (1) from (2)

That is, 10x-x=23.333.....-2.333......

⇒9x=21

⇒x=21/9

⇒x=7/3

⇒x=2 1/3

Now, 3 2/3 + 2 1/3

=(3+2) 2/3 + 1/3

=5 3/3

=5+1=6

The sum of the given fraction is 6. Therefore, option C is the correct answer.

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Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

Answer:

Please find attached the required graph for the temperature time relationship

Step-by-step explanation:

The parameters given are arranged in a tabular form as follows;

At

Time  [tex]{}[/tex]                                          Temperature

6 a. m.        [tex]{}[/tex]                                    56° F

7 a. m.          [tex]{}[/tex]                                   59° F

8 a. m.             [tex]{}[/tex]                                62° F

9 a. m.             [tex]{}[/tex]                                66° F

10 a. m.            [tex]{}[/tex]                               70° F

11 a. m.                  [tex]{}[/tex]                          74° F

12 p. m.              [tex]{}[/tex]                             74°F

1 p. m.                     [tex]{}[/tex]                        74°F

2 p. m.                  [tex]{}[/tex]                          74°F

3 p. m.                   [tex]{}[/tex]                         74°F

4 p. m.                   [tex]{}[/tex]                         74°F

5 p. m.                  [tex]{}[/tex]                          74°F

6 p. m.                 [tex]{}[/tex]                           74°F

7 p. m.                       [tex]{}[/tex]                     71°F

8 p. m.                      [tex]{}[/tex]                      68°F

9 p. m.                          [tex]{}[/tex]                  65°F

10 p. m.                  [tex]{}[/tex]                         62°F

11 p. m.                        [tex]{}[/tex]                    61.5°F

12 a. m.                        [tex]{}[/tex]                    61°F

With the above table as the data points, the graph can be drawn

From Excel, The Mean temperature is approximately 68.1°F

The standard deviation is 6.079 °F

Since Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 am, the temperature was 56 ° F, for the next 2 hours, the temperature rose 3 ° per hour, for the next 3 hours, it rose 4º per hour, and the temperature then stayed steady until 6 pm, while for the next 4 hours, the temperature dropped 3 ° per hour, and the temperature then dropped steadily until the temperature was 61 ° at midnight , to determine the average temperatures, the following tables must be made:

6 AM = 56

7 AM = 59

8 AM = 62

9 AM = 66

10 AM = 70

11 AM = 74

6 PM = 74

7 PM = 71

8 PM = 68

9 PM = 65

10 PM = 62

11 PM = 61.5

12 AM = 61

Thus, the average daily temperature was 68°F.

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Answer:

the answer = C (may be but not sure)

Answer:

The answer has to be A

Step-by-step explanation:

The trees have nothing changed about them, so they can be considered to be the control. In additon, placebo is given as a control in medical trials, so it cannot be correct. And, the students have nothing changed in D, so the answer to this question has to be A, where the patients are given a new drug.

Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

He gets for 40 hours of regular work:

Answer is $520

Answer:

The answer is below

Step-by-step explanation:

The compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\Where\ A \ is\ the\ final \ amount, P\ is\ the \ principal\ or \ initial\ amount,r\ is\ the\ rate\\n\ is\ the\ number\ of \ times\ compounded\ per\ period\ and \ t\ is\ the\ number\ of\ periods.\\[/tex]

For the same amount of principal (P) for both plan A and B:

Plan A offers a  quarterly compounded interest rate of 0.15%. That is r = 0.15% = 0.0015, n = 4. Therefore:

[tex]A_a=P(1+\frac{0.0015}{4} )^{4t}\\\\A_a=P(1+0.000375)^{4t}\\\\A_a=P(1.000375)^{4t}[/tex]

Plan B offers  annual compounded interest rate of 0.5%. That is r = 0.5% = 0.005, n = 1. Therefore:

[tex]A_b=P(1+\frac{0.005}{1} )^{t}\\\\A_b=P(1.005)^{t}\\\\The\ ratio\ of\ their\ interest:\\\\\frac{A_a}{A_b} =\frac{P(1.000375)^{4t}}{P(1.005)^{t}} \\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4t}}{(1.005)^{t}} \\\\For\ the\ same\ time\ period\ of\ one\ year(t)=1\\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4(1)}}{(1.005)^{1}} \\\\\frac{A_a}{A_b} =\frac{1.0015}{1.005} \\\\A_b=\frac{1.005A_a}{1.0015}\\ \\A_b=1.003A_b[/tex]

Plan B is the better plan, it is greater by a factor of 1.003

Answer:

slope: (y² - y¹) / (x² - x¹)

(-6, 3) (9, 7)

(7 - 3) / (9 + 6) = 4 / 15

y = 4/15x + b

slope: (4/15)x

(4, -10) (-2, -6)

(-6 + 10) / (-2 - 4) = 4 / -6 = 2 / -3

y = (-2/3)x + b

slope: (-2/3)x

Answer:

7=-4(x+7)-3+2x

BODMAS

7=-4x-28-3+2x

7=-2x-31

7+31=-2x

x=38/2

x= -19

Answer:

C = 50.27 m

Step-by-step explanation:

A = πr²

64π = πr²

64 = r²

r = ±8

r = 8

C = 2πr

C = 2π(8)

C = 50.27 m

Answer:

Step-by-step explanation:

f(x) = - x² - 6x + 12

To find f(4) substitute the value of x that's 4 into the expression above and solve.

That's

f( 4) = - (4)² - 6(4) + 12

= - 16 - 24 + 12

= - 40 + 12

We have the final answer as

Hope this helps you

Step-by-step explanation:

Given

a = 1

b = -3

c = -1

d = 4

Everything is given to us ,we have to replace variable by numbers and solve the equation

put the values of variables in th given equation we get our answer

[tex]2( - 1)(4) + 3(2)( - 3)[/tex]

[tex] - 8 - 18[/tex]

[tex] - 26[/tex]

-26 is ur answer

Hope it helps u mate

If a =2, b = -3 and c = -1 and d =4. 2cd+3ab is - 26.

As name suggests variables can have different values.We put a certain values to a variable according to our desired results also can be thought as inputs that determines output.

According to the given question we have to evaluate an expression with variables and the values of the variables are given so we will just substitute their values and obtain our result.

Given  a =2, b = -3 and c = -1 and d =4.

∴ 2cd+3ab

= 2(-1)(4) + 3(2)(-3)

= 2(-4) + 6(-3)

= - 8 - 18

= - 26.

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Answer:

x ≥ −5 and x < 4

Step-by-step explanation:

-4x + 1 ≤ 21 and 5x + 2 <  22

5x + 2 < 22 = x < 4

We can plug it in: 5 x 3 + 2 < 22 = 17 < 22

-4x + 1 ≤ 21 = x= -5 and lower

Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = x ≥−5

So both answers would be:

x ≥−5 for -4x + 1 ≥ 21

x < 4 for 5x + 2 <  22

3 is what my answer was

============================================

Explanation:

From 5 to 5, we add 0

From 5 to 6, we add 1

From 6 to 8, we add 2

From 8 to 11, we add 3

Assuming this pattern keeps up, the next term is found by adding 4.

So 11+4 = 15 is the next term.

Answer:

Step-by-step explanation:

f(0) = 8       {y-axis intercept = (0, 8)}

Vertex = (1, 9)

f(x) = a(x - 1)² + 9

8 = a(0-1)² + 9

8 = a + 9

a = -1

f(x) = - (x - 1)² + 9

f(x) = - (x² - 2x + 1) + 9

f(x) = - x² + 2x - 1 + 9

f(x) = - x² + 2x + 8

x₁ = -2  and x₂ = 4, so also:

f(x) = -(x + 2)(x - 4)

Answer:

g(x) = -1 (x + 2)(x − 4)

Step-by-step explanation:

To write the equation of the function in factored form, g(x) = a(x − r1)(x − r2), find the values of r1, r2, and a.

The function has x-intercepts of -2 and 4, so (x − (-2)), or (x + 2), and (x − 4) are factors of the equation.

To find a, look at how the value of y changes for 1 unit to the right of the vertex. The y-value goes down 1 unit for a point 1 unit to the right of the vertex, so a = -1.

The equation of this quadratic function is g(x) = -(x + 2)(x − 4).

Thank me later  ᵇⁱᵗᶜʰᵉˢ

Answer:

Step-by-step explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

              8n = 168

Divide both sides by 8

 8n/8 = 168/8

     n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers:  42, 44 , 46 , 48

Answer:

$6250

Step-by-step explanation:

Hello!

First, we find out how much you spend a week.

Since you buy a $5 coffee 5 days a week we multiply the price for a coffee by 5.

5 * 5 = 25.

Next, we find out how much you spend a year.

Since you do it 50 weeks a year we multiply the amount you spend a week by 50

25 * 50 = 1250

Then, we find out how much you spend in 5 years.

We multiply the cost a year by the amount of years

1250 * 5 = 6250

The answer is $6250

Hope this helps!

Answer:

$6250 Just took a quiz

Step-by-step explanation:

(ignore this answer, i cant delete it srry..)

Answer:

It takes them 45 minutes

Step-by-step explanation:

Let's say that x is the amount of work in one hour that zina does

so the amount of work that rachel does in the same hour is 1/3x, because 3 times slower

so we have

x+1/3x=100%

what does that mean?

it means the amount of hours taken to complete a skycraper

so we solve for x

x=75%

so we need to figure out how much hours does zina takes to complete 75% of the skycraper

1 hour ----- 100%

x hours ---- 75%

1 hour *75%/100%=x hours

1 hour (3/4)=x hours

60 minutes (3/4)= x minutes

x=45 minutes

Answer:

Step-by-step explanation:

we can write sin(3x+10)= cos{90-(3x+10)}

now

cosx= cos{90-(3x+10)}

eliminating cos from both sides we get

x=90-3x-10

4x=80

x=20

tan 20=0.364

it can be 40 also  if we take the sin part

Answer:

-4 < x < -2

Step-by-step explanation:

8 > 4 - x > 6

4 > -x > 2

-4 < x < -2 (flip the sign when multiplying / dividing by a negative number)

Answer:

33.05°

Step-by-step explanation:

The diagram above is a right angled triangle.

To solve for this question, we would be making use of the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse

From the above diagram,

Opposite side = 162.5 yards

Hypotenuse = 298 yards

θ = unknown

sin θ = 162.5 yards/298 yards

sin θ = 0.5453020134

θ = arc sin(0.5453020134)

θ = 33.045304587°

Approximately

θ = 33.05°

Answer:

$80

Step-by-step explanation:

If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.

[tex]20\cdot4[/tex]

2 times 4 is 8, and adding a 0 to that is 80.

Hope this helped!

Answer:

-3 feets

Step-by-step explanation:

Given the following :

Starting point = 224 feets

Then descends 131 feets

Then climbs 67 feets higher than her current position

Then descends 163 feets

Addition sentence to describe the situation :

224feets + (-131)feets + 67feets + (-163)feets

Negative (-) points represents descent

224feets - 131feets + 67feets - 163feets = - 3feets

This means Sally is - 3 feets below her initial position.

Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units

Step-by-step explanation:

Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function y = (x - 4^)2 + 3

Plot the graph on substituting the function [tex]y=x^{2}[/tex] as shown in the graph below.

On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.

Thus the function y = (x - 4)^2 + 3 is a transformation of the function         y = x^2.

Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

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Answer: Hi!

We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.

Hope this helps!

5 cents

as the ball costs 5 cents the bat costs $1.05

Answer:

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

Step-by-step explanation:

Required

Determine the sets of natural number

Represent this set with letter N

From definition of natural numbers, they are integer numbers starting from 1;

In other words: 1,2,3,4,5, and so on.

To represent this as a set of N, we have

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

The ..... means that the counting still continues

Answer:

There is 160.81 % of increase.

Step-by-step explanation:

Given that,

The average size of a privately owned farm in a particular country was 171 acres.

Now, the average size of a privately owned farm in the country had increased to 446 acres.

We need to find the percent increase.

[tex]\%=\dfrac{\text{increase}}{\text{original}}\times 100\\\\\%=\dfrac{446-171}{171}\times 100\\\\\%=160.81\%[/tex]

So, there is 160.81 % of increase.

Answer: Point A ,Point E , Point B, Point D  

Step-by-step explanation:

In the given figure we have two planes named as S and T that are join by  a line .

There is one line on each of them .

On plane S points are B and C.

On plane T points are D, and E.

On the intersection of planes, we have point A.

Now from the given options, the four points are:

Point A ,Point E , Point B, Point D