Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.

Answers

Answer 1

The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.

Based on the information given, the equations to solve the question will be:

28s + 4a = 262 ....... i

22s + 2a = 191 ....... ii

Multiply equation i by 2

Multiply equation ii by 4

56s + 8a = 524

88s + 8a = 764

Subtract the equations above

32s = 240

s = 240/32 = 7.5

Student's tickets = $7.5

Adult's ticket will be:

22s + 2a = 191 .

22(7.5) + 2a = 191

165 + 2a = 191

2a = 191 - 165

2a = 26

a = 26/2 = 13

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Related Questions

With the given information, which of these conclusions is reasonable? A.Town A and Town B had the same low temperatures. B.The temperatures in each town were the same every day. C.The mean low temperatures in Town A and Town B were the same. D.The variability of temperatures in Town A and Town B was the same.

Answers

Answer:

A. Town A and Town B had the same low temperatures.

Step-by-step explanation:

The towns both A and B had low temperatures is shown by the same rate of low temperatures.

BRAINLEST IF CORRECT!!!

Answers

Answer:

16 pi

Step-by-step explanation:

This is 1/4 of a circle so the area is 1/4 of the area of a circle

Area of a circle is pi r^2

so the area is 1/4 pi r^2

                       1/4 pi (8)^2

                       16 pi

If f(x) = [x]-5, what is f(8.6)?
O 3
O 4
O 8
O 9

Answers

Answer:

if the question wants you to round. the answer is 4.

Step-by-step explanation:

f(x)=[x]-5

where x= 8.6

substitute 8.6 for x and you have 8.6-5= 3.6= 4

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answers

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

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

     15   = 2x - 5

     +5           +5

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

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

Find the missing side

Answers

Answer:

[tex] \sqrt{(12) {}^{2} } + (7) {}^{2} \\ = 13.89[/tex]

Answer: x = 14

Step-by-step explanation:

[tex]h^2 = p^2 + b^2 \\x^2 = 12^2 + 7^2\\x^2 = 144+49\\x^2 = 193\\x = \sqrt{193} \\x = 13.89\\so, x = 13.9 \\so, x = 14[/tex]

Use the figure to find the radius.

Answers

The answer is 4 (four)

make a the subject of the relation p=2(a+b)​

Answers

Answer:

a = (p - 2b)/2

Step-by-step explanation:

Solve for a:

p = 2(a + b)p = 2a + 2b2a = p - 2ba = (p - 2b)/2

Find the value of a. Round
the nearest tenth.

Answers

Answer:

a = 24.0

Step-by-step explanation:

We can use the law of sines to solve

sin 150       sin 12

---------- = ----------

a                    10

Using cross products

10 sin 150 = a sin 12

10 sin 150 / sin 12 = a

a=24.04867

To the nearest tenth

a = 24.0

The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options

Answers

Answer:

all of the options

Step-by-step explanation:

A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.

7+3√5/3+√5 - 7-3√5/3-√5​

Answers

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Qualitative manpower is the most valuable assets of an organization

Answers

Answer:

True

Step-by-step explanation:

Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.

Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.

In Business management, office resources are generally grouped into five (5) main categories and these include;

I. Communication.

II. Transportation.

III. Material and office supplies.

IV. Sources of income (finance).

V. Manpower (human resources).

Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.

Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.

This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.

A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost. Swim Lesson Packages Number of Lessons Total Cost 1 $10 5 $40 10 $80 15 $80 Which package is the best deal? 1 lesson for $10 5 lessons for $40 10 lessons for $80 15 lessons for $80

Answers

The best package is 15 lessons for $80.

Answer:

15 lessons for $80.

Step-by-step explanation:

Find the volume of each figure. Round your answers to the nearest tenth, if necessary.​

Answers

Answer:

201.1 km^3

Step-by-step explanation:

The volume of a cylinder is V=πr2h. In this problem, our radius is 8, and our heigh is 4. Plugging in our values we get:

V=π(8)(2)(4)=64π, which is approximately 201.1.

Hope this helped,

~cloud

Answer:

804.2 km^3

Step-by-step explanation:

Volume of cylinder = πr^2h

π(8)^2(4)

= 804.247719319

Rounded of to nearest 10th = 804.2 km^3

Answered by G a u t h m a t h

Find the missing side of the triangle

Answers

Answer:

missing side is 193

= 13.892443989449

A. 83°
B. 90°
C. 97°
D. cannot be determined

Answers

Answer:

90

Step-by-step explanation:

c is perpendicular to b

That means angles 5,6,7,8 are 90 degrees

a is parallel to c

That means b is perpendicular to a

That means that 1,2,3,4 are 90 degrees

<1 = 90 degrees

Answer:

the answer is 90

Step-by-step explanation:

simpliy because c and b make a right angle

can i get some help please

Answers

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

Sin(a+b)=?
Cos(a+b)=

Answers

Answer:

sin (a+b)= sina*cosb - sinb*cosa

cos (a+b) = cosa*cosb + sina*sinb

Answer:

sin (A + B) = sin A cos B + cos A sin B

cos (A + B) = cos A cos B - sin A sin B

on:

HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER

Answers

Answer:

1. Angles 2, 3 and angles 1,3 are complementary angles(Given)

2. To prove :

Since Angles 2, 3 and angles 1,3 are complementary.

When angles are complementary, then the sum of the measures of angles is 90 degrees.

So,  and  (Definition of Complementary angles)

3.  (Substitution)

4.  (Subtraction property of equality)

Step-by-step explanation:

HELP PLS IM FAILING PYTHAGOREAN THEOREM

Answers

Answer: 4.6 km

Step-by-step explanation:

a^1 + b^2 = c^2

2^2 + b^2 = 5^2

4 + b^2 = 25

b = sqrt 25 - 4

b = sqrt 21 = 4.6 km

2^2 + b^2 = 5^2
4 + b^2 = 25
b^2 = 25 - 4
b^2 = 21
b = square root (21)
b = 4.6

Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15

Answers

Answer:

3/5 and 50/100

Step-by-step explanation:

changing the ratios into fractions are an easy way to check,

8/10 = 0.8

16/20 = 0.8

3/5 = 0.6

50/100 = 0.5

13/15 = ~0.8666

find the missing side lengths answered in the simplest radical form with the denominator rationalized

Answers

9514 1404 393

Answer:

  u = 7√2; v = 7

Step-by-step explanation:

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2 = 7 : v : u

Then v = 7 and u = 7√2.

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Answers

Answer:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Step-by-step explanation:

The question is not properly formatted (see attachment for the frequency table and the options)

Required

The conditional relative frequency table by column

We have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12} & {28} & {40} & {Not\ Employed} & {38} & {72} & {110}& {Total} & {50} & {100} & {150} \ \end{array}[/tex]

To get the conditional frequency by column, we simply divide each cell by the corresponding total value (on the last row)

So, we have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12/50} & {28/100} & {40/150} & {Not\ Employed} & {38/50} & {72/100} & {110/150}& {Total} & {50/50} & {100/100} & {150/150} \ \end{array}[/tex]

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0

Answers

Answer:

The given expression will be greater than zero.

Step-by-step explanation:

If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;

but b^2 is > 0.

Then (5a^3)*(b^2) < 0

and if we divide this quantity by a + b (which is negative), the end result will be > 0.

a see-saw has length 5.2 m. when one end is resting on the ground it makes an angle of 23 degrees with the ground. find the height of the other end above ground level.

Answers

answer: I did it in the picture above I hope it's clear and helpful

HELPPPPPPPPP!!!!!!!!!!!!!!!!

Answers

Answer:

they are not similar. their one angle is only equal

Tìm x, biết:
2x.(x-1)-3.(x^2-4x)+ x.(x+2)= -3x

Answers

Answer:

X=0

Step-by-step explanation:

if g(x) = (x) -5 ; find g(-5),g(0) and g(5).​

Answers

Answer:

see below

Step-by-step explanation:

g(x) = (x) -5

Let x = -5

g(-5) = -5 -5 = -10

Let x= 0

g(0) = 0-5 = -5

Let x= 5

g(5) = 5-5 = 0

please help! will mark brainliest

Answers

Answer:

x = 67

Step-by-step explanation:

∠ C = ∠ FGD ( corresponding angles )

Consecutive angles in a parallelogram sum to 180° , then

∠ B + ∠  C = 180 , substitute values

73 + x + 40 = 180

x + 113 = 180 ( subtract 113 from both sides )

x = 67

Answer:

Step-by-step explanation:

<B = <GFE                       The parallelograms are similar.

<GFD + <GFE = 180         Consecutive angles in a parallogram = 180

<GFD = x + 40                 Given

FGE = 73                          Step One

x + 40 +   73 = 180           Substitution

x + 113 = 180                     Subtract 113 from both sides

x = 67  

A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost is a function of the number of miles that the car is driven. In addition to a flat fee of $75, Plan A offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental.

Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles driven.
For how many miles will the rental fee be the same under both plans A and B?

Answers

The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information, we get,

Plan A:   y = .2x + 75

Plan B:   y = .35x

Find an xy pair that satisfies both (intersection)

Substitute Plan B's y for Plan A

.35x = .2x + 75

.35x - .2x = 75

.15x = 75

x = 500

Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

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Quadrilateral RSTU is a parallelogram. What must be the value of x?

2
4
5
10

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

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