1000 tickets were sold . Adult tickets cost 8.50 , children’s cost 4.50 and total of 7300 was collected. How many tickets of each kind were sold ?

Answer:

10xyz + 20xy - 15x

Step-by-step explanation:

5 x ( 2yz + 4 y - 3)

using the Distributive property multiply the each term by 5x

5x × 2yz + 5x × 4y - 5x × -3

calculate the product

10xyz + 20xy - 15x

Answer:

10xyz+20xy-15

Step-by-step explanation:

Answer:

your awnser would be [4, −6]

Step-by-step explanation:

hope this helps

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

[tex]\frac{dC}{dt} = kC[/tex]

In which k is the growth rate.

The solution is, applying separation of variables:

[tex]C(t) = C(0)e^{kt}[/tex]

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that [tex]C(0) = 4.4[/tex]

So

[tex]C(t) = C(0)e^{kt}[/tex]

[tex]C(t) = 4.4e^{kt}[/tex]

5.5 trillion BTUs annually after 5 years.

This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So

[tex]C(t) = 4.4e^{kt}[/tex]

[tex]5.5 = 4.4e^{5k}[/tex]

[tex]e^{5k} = \frac{5.5}{4.4}[/tex]

[tex]e^{5k} = 1.25[/tex]

[tex]\ln{e^{5k}} = \ln{1.25}[/tex]

[tex]5k = \ln{1.25}[/tex]

[tex]k = \frac{\ln{1.25}}{5}[/tex]

[tex]k = 0.0446[/tex]

So

[tex]C(t) = 4.4e^{0.0446t}[/tex]

After 9 years?

This is C(9). So

[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Answer:

Step-by-step explanation:

no of men                                no of days

15                                             20

25                                            let be x

it is in indirect proportion

15/25=x/20

do cross multiplication

25*x=20*15

25x=300

x=300/25

x=12

therefore ot will take 12 day to complete the same wall by 25 men.  

Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

9514 1404 393

Answer:

  ∛(2500π)√37 m² ≈ 120.911 m²

Step-by-step explanation:

If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...

  V = 1/3πr²h

  V = 1/3πr²(6r) = 2πr³

For a volume of 100 m³, the radius is ...

  100 m³ = 2πr³

  r = ∛(50/π) m

The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:

  s² = r² +(6r)² = 37r²

  s = r√37

Then the lateral area is ...

  LA = πrs

  LA = π(∛(50/π) m)(∛(50/π) m)√37

  LA = ∛(2500π)√37 m² ≈ 120.911 m²

The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.

As we know that the volume of the cone is given by the formula,

[tex]V = \dfrac{1}{3}\pi r^2h[/tex]

Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,

 [tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]

Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,

[tex]V = 2\pi r^3[/tex]

Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,

[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]

We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as

[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]

Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,

[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]

Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².

Learn more about the Lateral Area of the Cone:

https://brainly.com/question/12267785

Answer:

4/9

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(6-2)/(5-(-4))

(6-2)/(5+4)

4/9

So the slope is 4/9

---

hope it helps

Answer:

5040

Step-by-step explanation:

This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.

In the problem mentioned given

Word : Musical

number of words = 7 (all the words are different)

Number of ways to arrange it = 7!

7*6*5*4*3*2*1 = 5040

Hence 5040 is the answer!

Step-by-step explanation:

done hope this helped you

Answer: 2 primes 1 disinct

Step-by-step explanation:

Answer:

$83.30

Step-by-step explanation:

Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):

98(0.85)

= 83.3

So, he will have to pay $83.30 for the saw

Answer:

As x → ∞, f(x) → ∞

As x → -∞, f(x) → 3

Step-by-step explanation:

This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.

Answer:

they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine tan m∠A, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan A = √32/2 = (√16 × √2)/2

Tan A = (4√2)/2

Tan A = 2√2

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

Answer:

[tex]d = 0.112* 10^3[/tex]

Step-by-step explanation:

Given

[tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Required

Find d

We have:

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Substitute: [tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]

[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]

[tex]d = \sqrt{12.6 * 10^3}[/tex]

Express as:

[tex]d = \sqrt{1.26 *10* 10^3}[/tex]

[tex]d = \sqrt{1.26 *10^4}[/tex]

Split

[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]

[tex]d = 1.122* 10^2[/tex]

To write in form of: [tex]a * 10^b[/tex]

The value of a must be: [tex]0 \le a \le 1[/tex]

So, we have:

[tex]d = 0.1122* 10 * 10^2[/tex]

[tex]d = 0.1122* 10^3[/tex]

Approximate

[tex]d = 0.112* 10^3[/tex]

Answer:

its equal to 10 over 8

Step-by-step explanation:

then u divide the numerator and denominator by 2 over 2 which will give you 5 over 4

since it's 5 over 4 you 1 whole number which become 1 and 1 over 4

I dont know Im sorry

Step-by-step explanation:

I just want points in not that smart

Answer:

Number of tile need = 300 tiles

Step-by-step explanation:

Given:

Dimensions of floor = 3 m by 4 m

Perimeter of square tile = 80 cm

Find:

Number of tile need

Computation:

Perimeter of square tile = 4(Side)

80 = 4(Side of tile)

Side of tile = 80 / 4

Side of tile = 20 cm

Side of tile = 0.2 meter

Area of tile = 0.2 x 0.2

Area of tile = 0.04

Area of floor = 3 x 4

Side of tile = 12 square meter

Number of tile need = 12 / 0.04

Number of tile need = 300 tiles

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

There are only 1  

Pairs of integers satisfying a÷b = -2​

Step-by-step explanation:

Answer:

[tex]all \: positive \: integers \: in cluding \: 1[/tex]

so I dont really know how many

Step-by-step explanation:

eg

[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]

they are all equal to negative 2

Answer:

(x + 4)² + (y - 7)² = 20²

Step-by-step explanation:

Graphing form

(x - h)² + (y - k)² = r²

(h, k) is the center = (-4, 7)

r is the radius = 20

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

Plug in the givens

(x + 4)² + (y - 7)² = 20²

Answer:

make x=0 then y=-3-7(0)= (0 -3)

Answer:

y=-3

Step-by-step explanation:

see steps below:)

Answer:

the correct answer is option B

Answer:

Value of the test statistic for this problem = -3.74

Step-by-step explanation:

Here

the sample size n = 1263

and the x = 565

So, the p' -value = 565/1263 = 0.4473

As per the test statistics formula, z value will be evaluated

z = (0.4473-p)/sqrt {p(1-p)/n}

Let us say that p = 0.5

Substituting the given value in above equation, we get -

z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}

z = -3.74

The test statistic of the question is; z = -3.74

We are given;

Sample size; n = 1263

Number of people that said yes; x = 565

Sample proportion is; p'= 565/1263 = 0.4473

Formula for the test statistic of proportion is;

z = (p' - p)/(√(p(1 - p)/n)

We will assume that population proportion p = 0.5. Thus;

z = (0.4473 - 0.5)/(√(0.5(1 - 0.5)/1263)

z = -3.74

Read more about test statistic at; https://brainly.com/question/4621112

Answer:

30% of total students chose snowboarding as their favorite sport.

Step-by-step explanation:

We know that;

=> Total people = 500

=> Snowboarding people = 105

=> Percentage = unknown, so we can say it as x

So we can set up the equation;

x% · 500 = 105

[tex]\frac{x}{100}[/tex] · 500 = 105

x · 5 = 105

x = 105/5

x = 30

So 30% of total students chose snowboarding as their favorite sport.

Hope this helps!

Answer:

x = -4,      y = 8

Step-by-step explanation:

y = 2x + 16 -----(1)

2x - 7y = - 64 -------(2)

Substitute (1) in (2)

2x - 7(2x + 16) = - 64

2x - 14x - 112 = - 64

-12x = -64 + 112

-12x = 48

x = -4

Substitute x = -4 in (1)

y = 2(-4) + 16

y = -8 + 16

y  =8

Answer:

It is -4,8.

Step-by-step explanation:

y=2x +16

{

-7y=-2x-64

-6y=-48

y=8 then using substitution you will get x=-4

a=25

d=-1

n=8

tn=a+(n-1)d

tn=25-7=18

total distance it 18feet would have traveled by the 8th bounce!!

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.

Answer:

the last one: f(x) = 1/(x-3)

Step-by-step explanation:

Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).

Hi there!

[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]

To solve for the inverse, swap the x and y variables:

x = y² + 16

Isolate for y by subtracting both sides by 16:

x - 16 = y²

Square root both sides:

√(x - 16) = y

Add the plus/minus sign:

y = ±√(x - 16)

Answer:

c

Step-by-step explanation: