A pump can dispose of sludge at the rate of 6,000 lb/h. How many pounds can be disposed of per minute?

The price of the adult's ticket is $20 and the price of a child's ticket is $14.

Let adults = a

Let children = c

The appropriate equation will be:

3a + 4c = 116

2a + 3c = 82

Multiply equation I by 2

Multiply equation ii by 3

6a + 8c = 232

6a + 9c = 246

Subtract

c = 14

Price for children = 14

Since 2a + 3c = 82

2a + 3(14) = 82

2a + 42 = 82

2a = 82 - 42

2a = 40.

a = 40/2

a = 20

Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.

A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.

A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.

A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.

Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.

Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.

Learn more about spheres here-

https://brainly.com/question/20394302

#SPJ9

Your question was incomplete, check for the full content below-

Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?

A.) Circle T with radius 8 1/2 inches

B.) circle T with diameter 8 1/2 inches

C.) circle T with radius 17 inches

D.) a sphere with center T and radius 8 1/2 inches

Step-by-step explanation:

3.5(12)=42

3.5(55)=192.5

192.5

-42

150.5 more miles

The number of people that would be infected on Dec 19th, based on the daily growth rate of 0.18%  is 1,076,542

What is interval in days between Nov. 19th and Dec.19th?

The interval between November 19th and December 19th is a period of 30 days, since there are 11 more days in November and 19days in December, in essence, using the future value formula, we can compute the number of people tested positive for corona virus on 19th December as shown below:

FV=PV*(1+g)^N

FV=number of people tested positive for corona virus on 19th Dec.=unknown

PV=number of people tested positive for corona virus on Nov. 19th=1,020,000

g=growth rate=0.18%

N=number of days between 19th Nov. and Dec.

FV=1,020,000*(1+0.18%)^30

FV= 1,076,542

Find out more about future value on:https://brainly.com/question/14298587

#SPJ1

The inequality that represents the number of sets of glasses Zoey should buy is s ≥ 43

The first step is to determine the number of glasses needed.

The number of glasses needed = 711 - 281 = 430

The second step is to determine the number of sets Zoey needs to buy.

Number of sets needed = 430 / 10 = 43 sets

The third step is to determine the appropriate inequality sign to use

Here are inequality signs and what they mean:

The ≥ (greater than or equal to ) would be used since the number of sets can either be equal to or greater.

s ≥ 43

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Answer: a popcorn is $9

Step-by-step explanation:

soda is $6

Answer:

See attachment

Step-by-step explanation:

Draw a 45o angle

Bisecting means dividing the angle into 2 halves, which is 22.5o each

Answer:

Angle B equals 139

Step-by-step explanation:

6x -6 = 90 is the simplified equation. Solving the equation would make x = 31. Then, plugging in x would make Angle A 41 and Angle B 139

Answer:

5.

Step-by-step explanation:

32-20-12.

Answer:

50

Step-by-step explanation:

divide 20 by 0.4
= 20/0.4 = 20 * (1/0.4)
= 20*2.5
= 50

The area of the parallelogram is 475.2 square units.

A parallelogram is a polygon with four sides whose each pair of opposite sides are equal and parallel.

The properties of parallelogram are:

Given base b of the parallelogram a 36 units and height h of the parallelogram as 13.2 units.

Therefore we know from the properties of the parallelogram that area is given by the product of base and height.

∴area = b × h

or, area = 36 × 13.2

or, area = 475.2 square units

Hence the area of the parallelogram is 475.2 square units .

To learn more about parallelogram visit:

https://brainly.com/question/16056863

#SPJ9

The number of adult tickets, that  were sold that day  at the movie theatre was 62

What are simultaneous equations?

Simultaneous equations are two or more equations that must be solved concurrently in order to derive the values of the unknown, the total sales, as well as the total number of tickets sold, can be modeled into equations as below:

let x be the number of adult tickets

let y be the number of children's tickets

9x+5.90y=1000.60....... equation 1

x+y=137.................. equation 2

solve for y in equation 2

y=137-x

substitute for y in equation 1

9x+5.90(137-x)=1000.60

9x+808.30-5.90x=1000.60

9x-5.90x=1000.60-808.30

3.10x=192.30

x=192.30/3.10

x=adult tickets=62

children tickets=137-62

children tickets=75

Find out more about simultaneous equations on:brainly.com/question/9703786

#SPJ1

Answer:

What do I solve for?

Step-by-step explanation:

Answer:

Mark has 18 and Don has 73

Step-by-step explanation:

Let M = Mark and let D = Don

D = 4M + 1

D + M = 91

Substitute and solve for M

4M +1 + M = 91

5M = 90

M = 18

Therefore D = 4(18) + 1 = 73

Answer: 0.100

Step-by-step explanation: In the table, it shows that the number of people who have a Bachelor's Degree AND are aged 50 or over is 1958. The total amount of residents in the town are 19623. 1958/19623 gives us the probability. In decimal, the answer is 0.09978086938, which rounds to 0.100

Answer:

15.479

Step-by-step explanation:

This is a geometric series with common ratio of 6/5
Any term is 6/5 times the previous term

The general formula for the nth term of a geometric series given the common ration r and the first term a₁ is

[tex]a_n = a_1\cdot r^{n-1}[/tex]

Here r = 6/5 and n = 10

So the 10th term is
[tex]a_{10} = 3\cdot(\dfrac{6}{5})^9[/tex]

= 3 x (6⁹/5⁹) = 3 x (10077696/1953125) = 30233088/1953125 = 15.479

Answer:

12-4i

Step-by-step explanation:

i means √-1

(3 - i)(3 + 1) =

3*3=9

3*1=3

-i*3= -3i

-i*1 = -i

9+3-3i-i=

12-4i <--- answer

(3 - i)(3 + i) =

3*3=9

3*i=3i

-i*3= -3i

-i*i = -(√-1)*(√-1) = -(-1) = 1

9+3i-3i+1 =

10 <--- answer

The value of the z-score is calculated as 0.259.

The standard normal distribution is the variable of a normal distribution to mean 0 and variance 1. The normal distribution follows a bell curve. The z-table aids in determining the area beneath the curve.

Now, as per the given question;

The formula for the z-score is;

z = (x - μ)/σ

x = sample size

σ = standard deviation

μ =  mean of the sample

For the given values in the question;

x = 31.1

σ = 7.7

μ = 30.9

Substitute the given values in the formula to fine z-score;

z-score = (31.1 - 30.9)/7.7

z-score = 0.259

Therefore, the value of the z-score is computed as 0.259.

To know more about normal distribution, here

https://brainly.com/question/23418254

#SPJ9

Car A consumes 11.9 gallons.

Car B consumes 13 gallons

Car A consumes 16.3 gallons

Car B consumes 11.6 gallons

In order to determine the required values, the mathematical operation that would be used is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

Gallons that would be consumed when driving  300 mi of city driving plus 100 mi of highway driving:

For Car A = (300 / 36) + (100 / 28) = 11.9 gallons

For Car B: (300 / 29) + (100 / 37) = 13 gallons

Gallons that would be consumed when driving  100 mi of city driving plus 300 mi of highway driving:

For Car A = (100 / 36) + (300 / 28) = 16.3 gallons

For Car B: (100 / 29) + (300 / 37) = 11.6 gallons

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

Answer: 1 6/9, or 1 2/3

Step-by-step explanation:

Regroup the 5 and 1/9 to get 4 10/9. Subtract the 3 4/9 from the 4 10/9, getting 1 6/9. Simplified, this is 1 2/3. Hope this helps!

Answer:

(22v and 10w)

Step-by-step explanation:

A rectangle is a 4 sided figure. Perimeter is the distance around the rectangle.  The total distance would be

(5v -2w) + (5v - 2w) + (6v+7w) + (6v + 7w)  Add all the like terms together

5v + 5v + 6v + 6v - 2w - 2w + 7w + 7w

The v's add up to 22 and the w's add up to 10

The leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

According to the given question.

We have a polynomial 18u - 8u^2 -9 + u^7.

As we know that the leading coefficient of a polynomial is the coefficient of the leading term.

And the highest and the greatest power of a variable in a polynomial equation is called degree of a polynomial.

Here, the leading term of the given polynomial is u^7. Therefore, the leading coefficient of a polynomial is 1.

And the degree of the polynomial is 7.

Hence, the leading coefficient and degree of the polynomial 18u - 8u^2 -9 + u^7 are 1 and 7 respectively.

Find out more inofrmation about leading coefficient and degree of the polynomial here:

https://brainly.com/question/15552113

#SPJ1

Answer:

3311

Step-by-step explanation:

The steps are as follows

1. Divide 456 by 5. This gives a quotient of 91 with a remainder of 1. This remainder becomes the least significant digit of the new base number. This would be the right most digit. So the number is _ _ _ 1

2. Take the quotient, 91, divide by 5 again. This gives a quotient of 18 with a remainder of 1. Put this remainder to the immediate left of the previous value. So we have the number as _ _ 1 1

3. Take the previous quotient, 18, divide by 5 again. 18/5 gives quotient of 3 with a remainder of 3. Put this to the immediate left of the previous number giving the number as _ 3 1 1

4. Repeat the division of the new quotient by 5. 3/5 gives a quotient of 0 with remainder of 3 so we stop

Number = 3 3 1 1

Best done by writing a program or using a calculator

The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variable called division.

Let's consider a division problem.

5/2 → 2 + 1

Here 5 is called the dividend,2 is the divisor,2 is the quotient, and 1 is the remainder.

Now,

2  × 2 + 1 = 5

Therefore,divisor × quotient + remainder = dividend

So,

Let's suppose the divisor in the given case is x

Now,

52x + 18 ≥ 1000

52x ≥ 982

x ≥ 18.86

Hence "The minimum divisor such that the dividend is greater than 1000 and a quotient of 52 with a remainder of 18 is 18.86".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

The given question is incomplete complete question is ;

What is the minimum divisor such that The dividend is greater than 1,000, The quotient of 52 with a remainder of 18

Answer:

(a) --> f(x) = -(x - 4)²

(b) --> f(x) = x² + 3

(c) --> f(x) = (x - 2)²

(d) --> 6. f(x) = 3 - x²

Parent function of all the graphs is y = x²

(a)

The graph makes a sad face meaning the coefficient will be negative.

Comparing to the parent function y = x², the graph has been translated 4 units to the right.

Equation: f(x) = -(x - 4)²

(b)

The graph makes a happy face meaning the coefficient will be positive.

Comparing to the parent function y = x², the graph has been translated 3 units up.

Equation: f(x) = x² + 3

(c)

The graph makes a happy face with translation 2 units to the right.

Equation: f(x) = (x - 2)²

(d)

The graph makes a sad face with translation 3 units up across y axis.

Equation: f(x) = -x² + 3

f(x + a)  :  translation a units left in the x axis.

f(x - a) : translation a units right in the x axis.

f(x) + b :  translation b units up in the y axis.

f(x) - b : translation b units down in the y axis.

The true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.

Perpendicular segments are line segments that intersect at a point to form right angles which is equal to 90 degrees. The point where perpendicular segments meet have an angle measure of 90 degrees.

In the given diagram, we are told that angle YXZ is equal to  90 degrees. This means that at the point where segment XZ and segment WY meet have an angle measure of 90 degrees.

This means they are perpendicular segments.

Therefore, the true statement about the given diagram is: A. segment XZ is perpendicular to segment WY.

Learn more about perpendicular segments on:

https://brainly.com/question/1865107

#SPJ1

Answer:

6

Step-by-step explanation:

In 3 cups you have 6 half cups with the remainder being 1/4 of a cup.

Answer:

If we're talking whole batches then I'm pretty sure you can make six batches