When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open. 

Answers

Answer 1

Answer:

y=1.5x + 68

Step-by-step explanation:

68 is the starting value and it increases by 1.5 every hour.

Answer 2

Answer:

y = 68 ( 1.5) ^x

Step-by-step explanation:

This is exponential growth

The formula is

y = ab^x  where a is the initial amount and b is the growth rate

The initial amount is 68 and the growth rate is 1.5

y = 68 ( 1.5) ^x


Related Questions

The question is above please help

Answers

Answer:

i believe it's C i may be wrong

Step-by-step explanation:

Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it? (Write answer as a decimal. Do not round)

Answers

Answer:

[tex]P(X=2) =0.3906[/tex]

Step-by-step explanation:

Proportion of students using the app, p = 63/100 = 0.63

Proportion of students not using the app, q = 1 - 0.63 = 0.37

Sample size, n = 2

Probability that the two students are using the app.

[tex]P(X = r) = nCr p^{n} q^{n-r} \\P(X = 2) = 2C2 *0.63^{2} *0.37^{2-2}\\P(X = 2) = 2C2 *0.63^{2} *0.37^{0}\\P(X=2) = 0.63^{2} \\P(X=2) =0.3906[/tex]

Graph f(x) = -1/2x click on the graph till f(x) =-1/2x appears

Answers

Answer:

Step-by-step explanation:

Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 1.

Answers

Answer:

zero

Step-by-step explanation:

probability of getting total of 1  is zero

minimum of total can be 1+1=2

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

49

Step-by-step explanation:

y = 7^2

= 49

uually Cxpressions
Which expressions are equal to 0 when x=-1? Check all that apply.
(4x + 5)
4(x - 1)
(5 - 4x)
40% - (-1))
(4 7 + 5)
(4x + 5)
4(x + 1)
(5 - 4x)
Intro​

Answers

4(x+1) is the only one equal to 0

Answer:

Which expressions are equal to 0 when x = –1? Check all that apply.

StartFraction 4 (x plus 1) Over (4 x plus 5) EndFraction

StartFraction 4 (x minus 1) Over (5 minus 4 x) EndFraction

StartFraction 4 (x minus (minus 1)) Over (4 x plus 5) EndFraction

StartFraction 4 (x plus (minus 1)) Over (4 x plus 5) EndFraction

StartFraction 4 (x plus 1) Over (5 minus 4 x) EndFraction

Step-by-step explanation:

What is the x-intercept of the line whose equation is x/3 + y/2 = 1

Answers

Answer:

y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1

Multiply through by 6 to clear the fractions

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope- intercept form

with y- intercept c = 2

3 + 2(2x + 8) = 1 is equivalent to:

Answers

Answer:

x = [tex]-\frac{9}{2}[/tex]

Step-by-step explanation:

=> 3+2(2x+8) = 1

=> 3+4x+16 = 1

=> 4x+19 = 1

=> 4x = 1-19

=> 4x = -18

Dividing both sides by 4

=> x = [tex]-\frac{18}{4}[/tex]

=> x = [tex]-\frac{9}{2}[/tex]

Answer: -9/2

Step-by-step explanation:

3 + 2(2x + 8) = 1

3 + 4x + 16 = 1

19 + 4x = 1

4x = -18

x = -18/4 = -9/2

Temperatures in °F can be converted in °C

Answers

Answer:

[tex] \frac{9c + 160}{5} [/tex]

Step-by-step explanation:

C = 5(F - 32)/9

so we do a little algebra here

9C = 5F - 160

we move both side

5F - 160 = 9C

5F = 9C + 160

so in the end

F =

[tex] \frac{9c + 160}{5} [/tex]

a = 9

b = 160

c = 5

Answer:

[tex]F=\frac{9C+160}{5}[/tex]

Step-by-step explanation:

[tex]C=\frac{5(F-32)}{9}[/tex]

Multiply both sides with 9.

[tex]9C=5(F-32)[/tex]

Use distributive property.

[tex]9C=5F-160[/tex]

Add 160 to both sides.

[tex]9C+160=5F[/tex]

Divide 5 to both sides.

[tex]\frac{9C+160}{5}=F[/tex]

I NEED HELP ITS ON FUNCTIONS! HELPPPPPPPPPPP
Explanation needed

Answers

Answer:

D

Step-by-step explanation:

A function of x means that there can only be one value of y per x value.  Therefore, D does not match this because there are 4 values of y per x value (3).

Answer:

D

Step-by-step explanation:

Each x value can have only ONE y value

this means that there cannot be more than one of the same x value:

think of the x values as an input, each input has one output right?

ex:

input: 7

output:8

input:3

output:2

how is it possible that the same input has different outputs?

input: 5

output: 6,7

this does not make any sense, one input should only have one output hence, one value of x(input) should have only one value of y(output)

Hope this helps!

What is the measure of A?

Answers

ΔABC is an equilateral triangle.

All 3 angles must be equal in an equilateral triangle.

[tex]180/3[/tex]

[tex]=60[/tex] °

Find the diameter, area and circumference.
11
0

Answers

Answer:

diameter = two times the radius

2r

the area = πr²

the circumference= 2πr

hope it helps

Solve 15 > -3x or 2/5 x > -2

Answers

Answer:

Step-by-step explanation:

the second one

Circumference & Area of Circles: Question 10
In baseball, the next batter waits in the on-deck circle. If the diameter
of the on-deck circle is 5 feet, what is its approximate circumference?
(Urex= 314)
Select one
01571
o

Answers

Answer:

i got 19.625 if you round it you should get either 20 or 19.6

Step-by-step explanation:

if im wrong sorry

Remy wanted to measure the angle of the slide in the playground. He used a piece of folded paper that was 10°. He measured that 3 of the folded paper angles would fit in the angle made by the slide. What was the angle of the slide?

Answers

Answer:

30°

Step-by-step explanation:

Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:

10° * 3 = 30°

The angle of the slide is 30°

rate of change for y=5x+25

Answers

Answer:5

Step-by-step explanation:

rate of change is the same thing as slope (or m)

The required rate of change for the given equation y = 5x + 25 is 5.

Given that,
For the given equation y =5x +25 the rate of change is to be determined.

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

What is the rate of change?

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The given equation,
y = 5x + 25
Differentiate the above equation with respect to x,
dy/dx = d(5x +25)/dx
dy/dx = 5dx/dx + d25/dx

dy/dx = 5      (since dx/dx =1 and d25/dx = 0)
here dy/dx is the slope of the equation or m or rate of change = 5

Thus, the required rate of change for the given equation y = 5x + 25 is 5.

Learn more about the rate of change here:
https://brainly.com/question/13103052

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Fred is planning a fundraiser where he will collect $4.50 fir every mile he runs.

Answers

The answer to the problem Fred has where he will collect is 35 miles

Given a right triangle with b=3 and c=5 find leg a? Show your work

Answers

Find attached to this question, the diagram of the right angle triangle

Answer:

Leg a = 4

Step-by-step explanation:

A right angle triangle has 3 sides : side a, b and c

The formula to solved for a right angle triangle =

a² + b² = c²

In that above question,

a = unknown

b = 3

c = 5

Therefore,

a² + 3² = 5²

a² = 5² - 3²

a² = 25 - 9

a² = 16

a = √16

a = 4

Therefore, leg a = 4

Number of people for x tents if each tent can accommodate 4 people.​

Answers

Answer:

4xpeople

Step-by-step explanation:

one tent accommodates 4 people

x tent will accommodate 4xpeople

Not sure

Answer:

[tex]4x[/tex]

Step-by-step explanation:

Each tent can accommodate 4 people.

1 tent is [tex]1x[/tex]

[tex]1x \times 4[/tex]

Can someone please explain to me what quadrants on a coordinate plane means, for brainliest and some points.

Answers

The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Each quadrant has different values on each axis. In the first one (top right) the values are both positive. But in the third quadrant (bottom left) the values are opposite. Going diagonal from top right to bottom left or top left to bottom right the values are opposites.

The graph below represents the system of equations 3x+4y=12 and 2x-y=8. A coordinate grid with 2 lines. One line passes through (0, 3) and (4, 0). The other line passes through (2, negative 4) and (4, 0). Which ordered pair is a solution to the system of equations? (0, 3) (3, 0) (4, 0) (0, 4)

Answers

Answer:

C. (4,0)

Step-by-step explanation:

Given a graph of the system of equations

3x+4y=12; and

2x-y=8.

Line 1 passes through (0, 3) and (4, 0).Line 2 passes through (2, -4) and (4, 0).

We can see that both lines pass through (4,0). Therefore, (4,0) is a point of intersection of the two lines.

It is therefore a solution to the system of equations.

i need help with this and how you got it please! 10 points

Answers

Answer:

B, x=40 is the right answer

Step-by-step explanation:

DAC is one half of the right angle and CAB is another half. So, you know that since a right angle is 90 degrees, DAC + CAB must equal 90.

They have given you equations for both angles, so now its just a matter of rearranging and solving for x.

DAC = x

CAB = 2x - 30

DAC + CAB = 90

Using the equations above, we can come up with this final equation:

x + 2x - 30 = 90

If we add the x together:

3x - 30 = 90

If we move the 30 to the other side by adding it to 90

3x = 90 + 30

3x = 120

If we divide 120 by 3:

x= 40

Therefore, the answer is B

Hope this helped : )

Please I need help ASAP

Answers

Answer:

Step-by-step explanation:

V= π(8)^2(12/3)

V= 64(4)π

V= 256π

V= 804.3 cm^3

The table shows the number of championsthips won by the baseball and softball leagues of three youth baseball
divisions organized by age groups.
Baseball League (B) Softball League (5)
Ages 7-9 C93
Ages 10-12M 2
Ages 13-15 (
2
if the winning team plays in the Ages 10-12 division, find the probability that the team is in the Basebal League. Answer
in terms of a reduced fraction.
a0
R(BIY)​

Answers

Answer:

7/10

Step-by-step explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.

We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.

There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

correct me if this is wrong

Need some help with number word problems, tysm if you do :)

Answers

Answer:

Read below

Step-by-step explanation:

x is always the smaller number

y is always the larger number

underlined means it's the question

bolded means it's the answer

1.

One number is 6 times as large as another. Their sum is 42. Find the numbers.

The numbers need to fit the criteria:

6x=yx+y=42

A. 6+36=42 (correct)

B. 7+42=49 (incorrect)

C. 7+35=42 (incorrect because it doesn't follow the 1st rule)

D. 6+42=48 (incorrect)

Only A. 6, 36 fits the criteria.

2.

One number is 3 less than another. Four times the smaller is 4 more than 3 times the larger. Find the numbers.

The numbers need to fit the criteria:

x+3=y4x-4=3y

A.

4+3=7

12-6≠21 (incorrect)

B.

7+3=10

28-3≠30 (incorrect)

C.

13+3=16

52-4=48 (correct)

D.

9+3≠13 (incorrect)

Only C. 13, 16 fits the criteria.

3.

One number is 4 less than another. Five times the smaller is 3 less than 4 times the larger. Find the numbers.

The numbers need to fit the criteria:

x+4=y5x+3=4y

A.

13+4=17

65+3=68 (correct)

B.

-23+4= -19

-115+3≠ -76 (incorrect)

C.

17+4=21

85+3≠84 (incorrect)

D.

-11+4+ -7

-35+3≠ -33 (incorrect)

Only A. 13, 17 fits the criteria.

4.

The sum of two numbers is 23. When three times the smaller is subtracted from the larger, the result is 3. Find the numbers.

The numbers need to fit the criteria:

x+y=23y-3x=3

A.

5+18=23

18-15=3 (correct)

B.

8+15=23

15-24≠3 (incorrect)

C.

-13+36=23

36+39≠3 (incorrect)

D.

-5+28=23

28+15≠3 (incorrect)

Only A. 5, 18 fits the criteria.

5.

The sum of two numbers is 26. When twice the smaller is subtracted from the larger, the result is 2. Find the numbers.

The numbers need to fit the criteria:

x+y=26y-2x=2

A.

8+18=26

18-16=2 (correct)

B.

9+17=26

17-18≠2 (incorrect)

C.

7+19=26

19-14≠2 (incorrect)

D.

6+20=26

20-12≠2 (incorrect)

Only A. 8, 18 fits the criteria.

16 points!
What is the length of line AB?
√17
√35
6
4

Answers

Answer:

i think its 6

Step-by-step explanation:

The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.

What is a rectangular prism?

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The dimension of the rectangular prism will be 3 units long, 5 units wide, and 1 unit high. Then the diagonal of the prism is given as,

D² = 3² + 5² + 1²

Simplify the equation, then we have

D² = 3² + 5² + 1²

D² = 9 + 25 + 1

D² = 35

D = √35 units

The length of the diagonal of the rectangular prism will be √35 units. Then the correct option is B.

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ2

What is (7x − 9) + (3x + 14)?

Answers

Answer:

[tex](7x - 9) + (3x + 14) = 10x + 5[/tex]

Step-by-step explanation:

[tex]\left(7x-9\right)+\left(3x+14\right)[/tex]

Remove parentheses: [tex]\left(a\right)=a[/tex]

[tex]=7x-9+3x+14[/tex]

Group like terms:

[tex]=7x+3x-9+14[/tex]

Add similar elements: [tex]7x+3x=10x[/tex]

[tex]=10x-9+14[/tex]

Add/Subtract the numbers: [tex]-9+14=5[/tex]

[tex]=10x+5[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

Answer:

pls refer to the pic

Step-by-step explanation:

PLS MARK ME AS BRAINLIAST PLS MARK ME AS BRAINLIAST AND DON'T FORGET TO FOLLOW AND THANKS MY ANSWER PLS MARK ME AS BRAINLIAST AND DON'T FORGET TO FOLLOW AND THANKS MY ANSWER HOPE IT HELPS.....

i need help with this question( just a simple equation):

3. Greta has two part-time jobs. She earns $14/h at her first job and earns $12.50/h at the second job. In one week, she earned $500.


a) Write an equation that models this information. (hint: define your variables first – what do you not know?)

Answers

Answer:

I'm pretty sure it's

14x + 12.50y = 500

Find the volume of a cylinder 10mi and 22mi

Answers

Answer:

If the radius is 10mi, height is 22mi, the answer is V≈6911.5

If the radius is 22mi, height is 10mi,  the answer is V≈15205.31

240 people are going to a charity event 3/5 of the guests have ordered chicken for their meals of the remaining guests 12.5% have ordered gluten free meals how many people haven't ordered their meals yet?

Answers

Answer: 84 people

Step-by-step explanation:

From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:

= 240 - 144

= 96 people.

Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.

The people who haven't ordered their meals yet will be:

= 96 - 12

= 84 people.

Using the appropriate arithmetic operations, the number of guests who haven't made an order yet is 126

Total number of guests = 240

Chicken orders = 3/5 × 240 = 144

Number left = 240 - 144 = 96

Gluten free meat = 12.5% × 144 = 18

Not yet ordered = 144 - 18 = 126

Therefore, the Number of guests who haven't made an order yet is 126

Learn more : https://brainly.com/question/18581754

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