Help me out to get this math problem solve

Help Me Out To Get This Math Problem Solve

Answers

Answer 1

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.


Related Questions

an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.

Answers

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

A bell pepper has 3 grams of sugar per serving.
An apple has 18 grams of sugar per serving.

Which statement is true?




For an equal number of servings, the apples will have six times as much sugar.


There will always be more sugar in 10 servings of bell peppers than a smaller number of servings of apples.


For an equal number of servings, the apples will always have 15 more grams of sugar.


The amount of sugar in two servings of bell peppers is 36 grams.

Answers

Answer:

For an equal number of servings, the apples will have six times as much sugar.

Step-by-step explanation:

process of elimination. All the other answer choices are incorrect and this one checks out.

A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?

Answers

Answer:

20 $50 bills

8 $10 bills

Step-by-step explanation:

Find how many $10 and $50 bills are in the cash register.

Make a systems of equations:

t = Amount of $10 bills

f = Amount of $50 bills

10t + 50f = 1080

t + f = 28

Lets solve for $50 bills first:

10t + 50f = 1080

-10(t + f = 28) = -10t - 10f = -280

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

Solve for f:

10t + 50f = 1080

-10t - 10f = -280

40f = 800

Divide both sides by 40.

f = 20

There are 20 $50 bills.

Now we need to find how many $10 bills are in the register.

Plug in 20 to "f" in one of the equations and solve for "t".

Solve:

t + 20 = 28

Subtract 20 from both sides.

t = 8

There are 8 $10 bills.

Your answer should be:

20 $50 bills

8 $10 bills

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

I want to double-check my answer. I think it may be wrong. I need this ASAP. Have a great day.

Answers

This is not the correct answer.

1. 2.30 is not even close to the point given in the number line.

2. My guess for the correct answer would be 0.23 because in between 0.2 and 0.3 is 0.25, so the best answer would be 0.23.

write the following numbers in order from least to greatest . -1, 1.75, -1.75, -2, -2 1/2, -5/2, 9/4 I NEED HELP ASAP PLEASE

Answers

Step-by-step explanation:

-5/2

-2

-1.75

-1

1/5

1.75

9/4

Mark as brainlist . kindly

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Which point is the reflection of point E across the y-axis what are it’s coordinates ??

Answers

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

Answer:

The reflection of point E across the y-axis is J(-2, 0).

Step-by-step explanation:

!!edmentum answer!!

enter the value of 3/4 + 7/12 - ( -4 )

Answers

Answer:

16/3 or 5.33

Step-by-step explanation:

3/4+7/12+4/1= 16/3 = 5.33

Answer:

Step-by-step explanation:

Exact Form:

16/3

Decimal Form:

5.3....

Mixed Number Form:

5 1/3

(x - 3)2 + (y + 7)2 = 121 what's the radius

Answers

Answer:

[tex]r=11[/tex]

Step-by-step explanation:

The equation of a circle is commonly denoted as:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.

This equation is already written in that format, therefore:

[tex]r^2=121,\\r=\fbox{$11$}[/tex],

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.

Answers

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

Triangle ABC is shown below. Which point is the coordinate of the image of

Answers

Step-by-step explanation:

there is no image how am I supposed to solve it

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps :)

solve for (0)
12
15
Round to the nearest hundredth

Answers

Answer:

.014

Just trust me, you know I have your back

Find the 43rd term in the sequence: -6, -3, 0,...

Answers

Answer: 129

Step-by-step explanation: 43•3=129

Look in the document

Answers

the document won’t load sorry :( maybe try uploading it again?

Please I really need help on this one

Answers

radius: 2.5 centimeters

Answer:

r=

[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]

I need help quick please!!!!

Answers

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Helppppppppppppppppppppppp please

Answers

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

evaluate.
[tex] - \sqrt{81} [/tex]
.......

Answers

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Find the zeros for 2x2−24=26. What is the positive value of x?

Answers

Answer:

i think it is 12

Step-by-step explanation:

An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP

Answers

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.

Answers

Answer:

As an equation, (we'll use x as the variable), that word problem is 3x+7=31.

To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.

HELP PLEASE


-9x + 3 > 39 OR - 5x + 6 < 16

Answers

9514 1404 393

Answer:

  (-∞, -4) ∪ [-2, ∞)

Step-by-step explanation:

The solution to the first inequality is ...

  -9x +3 > 39

  -9x > 36 . . . . . subtract 3 from both sides

  x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative

__

The solution to the second inequality is ...

  -5x +6 ≤ 16

  -5x ≤ 10 . . . . . . . subtract 6 from both sides

  x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative

__

These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...

  (-∞, -4) ∪ [-2, ∞)

The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.

3. Two linear functions are shown below. Which function has the greater rate of change? Justify your response LOOK AT PIC! plz help​

Answers

Answer:

Function B has the greater rate of change

Step-by-step explanation:

Function A has a slope of 1/3

Function B has a slope of 1/2

When comparing slopes, the higher value has the greater rate of change

1/2 > 1/3

What is the value of the expression ?

Answers

[tex]16 - 3(8 - 3) {}^{2} \div 5[/tex]ANSWER

[tex]1[/tex]EXPLANATION

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

_ divided by 4= _ remaider 5

Answers

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

24 apples and 36 oranges in a basket. What percentage of the fruit is oranges

Answers

Answer:

24 %

Step-by-step explanation:

thats easy

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