let x be 3 and y be 4 and z is 5
x + y / xz

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer:

They sold 84 student tickets.

Step-by-step explanation:

Let x be the number of student tickets sold

Let y be the number of adult tickets sold

Total value of tickets sold = $3612

student tickets = $8 each

adult tickets = $12 each

8x + 12y = 3612  ---equation 1

The number of adult tickets sold was 7 less than 3 times the number of student tickets.

y = 3x - 7   ---equation 2

Substitute equation 2 to equation 1

8x + 12(3x -7) = 3612

8x + 36x - 84 = 3612

44x = 3612 + 84

44x = 3696

x = 84

Substitute x =84 to equation 2

y = 3x - 7

y = 3(84) - 7

y = 252 - 7

y = 245

The total value of tickets sold at a school concert was $3612 which includes 84 tickets sold by students for $8 each.

Let "x" be the number of student tickets sold.

According to the given problem, the number of adult tickets sold were 7 less than 3 times the number of student tickets.

This statement can be represented in equation as:

Number of adult tickets = 3x - 7

The total value of the tickets sold was $3612. We can set up an equation using this information:

8x + 12(3x - 7) = 3612

The first term of the equation represents the total value of the student tickets sold, while the second term represents the total value of the adult tickets sold.

Simplifying the equation:

8x + 36x - 84 = 3612

Combining like terms:

44x - 84 = 3612

Adding 84 to both sides:

44x = 3696

Dividing both sides by 44 we get,

x = 84

Therefore, the number of student tickets sold are 84.

To learn more about equation:

https://brainly.com/question/21835898

#SPJ4

Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

Learn more about the intersecting secants theorem on:

https://brainly.com/question/15392507

#SPJ1

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

9514 1404 393

Answer:

  a) 6

  b) 8

  c) 206

  d) 208

Step-by-step explanation:

The number of integers between A and B, not including A or B, is B-A-1. When the end values are both included, the number is increased by 2 to B-A+1.

a) 5 -(-2) -1 = 6

b) 6 +2 = 8

c) 105 -(-102) -1 = 206

d) 206 +2 = 208

Answer:

x = 38

Step-by-step explanation:

The external angle of a circle = ½ of the difference of the measures of the intercepted arcs. Thus:

m<S = ½(arc UV - arc TW)

34 = ½[(3x - 2) - (x + 6)]

34 = ½[3x - 2 - x - 6] (distributive property)

Add like terms

34 = ½[2x - 8]

Multiply both sides by 2

2*34 = 2x - 8

68 = 2x - 8

68 + 8 = 2x - 8 + 8

76 = 2x

Divide both sides by 2

76/2 = 2x/2

38 = x

x = 38

Answer:

60 miles

Step-by-step explanation:

por que si es la verdad

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Find more exercises on Interval notation;

https://brainly.com/question/17249352

#SPJ1

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

https://brainly.com/question/31931315

#SPJ2

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

Learn more about coordinate of a triangle here:

https://brainly.com/question/28566332

#SPJ4

The required temperature is 180K

Direct variation shows that when a variable is increasing or decreasing the other variable is also increasing/decreasing.

If the volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, this is expressed as

V = kT/P

Given that

V = 160 cm³ when T=320 kelvin and P = 12kg, hence;

160 = 320k/12
1 = 2k/12

2k = 12

k = 6

If V = 90 cm³ and P = 16kg/cm², then the value of the temperature is expressed as:

90 = 6T/16
15 = T/16
T = 15 * 16
T = 180K

Hence the required temperature is 180K

Learn more on variation here: https://brainly.com/question/6499629

#SPJ1

Answer:

It's the third choice.

Step-by-step explanation:

IF y varies inversely as x then y = k/x   where k is a constant,

and k = xy    

For the 3rd choice

-1 * -2/7 = 2/7

4 * 1/14 = 2/7 and

6 * 1/21 = 2/7

so, this is inverse variation.

Answer:

C.(6, 4,2)

since every element of B is also an even number,so is an element of C

Answer:

Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”

There would be amount $28850 in the account after three years.

We can use the formula for the future value of an annuity:

\(FV = Pmt \times [(1 + r/n)^(^n^\times^t^) - 1] / (r/n)\)

where:

FV = future value

Pmt = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values, we get:

FV = 100 x [(1 + 0.048/12)³⁶- 1] / (0.048/12)

FV = 100 x (1.154)/0.004

FV =115.4 / 0.004

FV = 28850 (rounded to the nearest cent)

Therefore, there would be $28850 in the account after three years.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

Answer:

A century ride is 100 miles, hence the "century" name. A 100-kilometer bike ride is called a "quarter century" and converts to roughly 62 miles.

# be care #

Answer:

x>=3 make the inequality false

Step-by-step explanation:

4x-2x<12-6

2x<6

x<3

Answer:

Any number higher than 3

Ex. 4, 5, 6, 7, 8, 9, 10, etc

Step-by-step explanation:

4x + 6 < 2x + 12

-2x        -2x

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

2x + 6 < 12

      -6    -6

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

2x < 6

÷2   ÷2

-----------

x < 3

Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4

4(4) + 6 < 2(4) + 12

16 + 6 < 8 + 12

22 < 20 (false)

I hope this helps!

Answer:

A gallon of water is approximately 8.3 pounds. 8.3*15=124.5

So the weight of 15 gallons of water is 124.5 pounds.

Answer:

A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs

Step-by-step explanation:

Answer: The answer is

-1/3 > -0.5

Step-by-step explanation:

1/3 written as a decimal is -0.333333, which is more than -0.5, Hope this works :)

Step-by-step explanation:

Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

To learn more about congurency refer here

https://brainly.com/question/1675117

#SPJ1

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

To learn more on supplementary angles: https://brainly.com/question/29117467

#SPJ1

Answer:

150*2/3=100

take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.

Step-by-step explanation: