Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?

Answers

Answer 1

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8


Related Questions

PLEASE HELP ME OUT IF YOU CAN

Answers

Answer:

D

Step-by-step explanation:

Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.

Answers

Answer:

Put 6 yellow unit tiles on the right side of the equal sign.

Step-by-step explanation:

Given the equation that Juanita wants to model expressed by the equation

3 x + 2 = -x + 6

If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6

We can as well calculate the value of x from the expression as shown;

3 x + 2 = -x + 6

collect like terms

3x+x = 6-2

4x = 4

Divide both sides by 4

4x/4 = 4/4

x = 1

Answer:

the answer is D put 6 yellow unit tiles

Step-by-step explanation:

i took the test review and test

Help pleaseeeee it’s on algebraic proofs

Answers

Answer:

Given

Addition

simplify

answer

Step-by-step explanation:

Answer:

1. Given

2.Addition

3. simplify

4. answer

Step-by-step explanation:

the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?

Answers

Answer:

what is the equation?

Step-by-step explanation:

Help me with this question plz!!!
2x - 4=x+6

Answers

Answer:

x = 10

Step-by-step explanation:

2x - 4 = x + 6           add 4 to both sides

2x - 4 + 4 = x + 6 + 4

2x = x + 10     subtract x from both sides

2x - x = x - x + 10

x = 10

77 is left over when a number x is decreased by 109.
Find x
What is happening here?
What is the opposite operation?
Check by substituting

Answers

Answer:

186

Step-by-step explanation:

77+109=186

186-109=77

x=186

Hope this helps!

186 :) Hope This Helps

The length of a iPhone is 15 cm and the width of the iPhone is 7.4 cm. What is the maximum area?

Answers

Answer:

111 cm squared

Step-by-step explanation:

15x 7.4

12) Given A(9, 2), B(-1, y)
C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD

Answers

Answer:

y=8

Step-by-step explanation:

(y-2)/(-1-9)=(y-2)/-10    (11-16)/(-8-(-5))=-5/-3=5/3  Perpendicular slope is -3/5

(y-2)/10=-3/5 cross multiply 5(y-2)=3(10)    5y-10=30   add 10 to both sides

5y=40  divide both sides by 5 and y is equal to 8.

The value of y is 8 if AB is perpendicular CD after using the slope formula.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),

AB is the perpendicular CD

Using the slope formula to find the slope between A and B:

(y-2)/(-1-9)

= (y-2)/-10    

(11-16)/(-8-(-5)) =

-5/(-3)

= 5/3  

The perpendicular slope is -3/5

(y-2)/10=-3/5

5(y-2)=3(10)    

5y-10=30  

5y=40  

y = 8

Thus, the value of y is 8 if AB is perpendicular CD after using the slope formula.

Learn more about the slope here:

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#SPJ2

A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 27 with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags?

Answers

Answer:

29

Step-by-step explanation:

Given that:

Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each

Bag 2: Another bag with 8 tags numbered from 20 - 27

Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :

Expected value = mean of numbers in bag 1 + mean if numbers in bag 2

E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2

E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]

E(x) = (11/ 2) + (47/2)

E(x) = 5.5 + 23.5

E(x) = 29

Hence, expected value of sum if numbers from each draw = 29

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?

Answers

Answer:

Step-by-step explanation:

gud question

6 lbs of potatoes cost $72. How many
lbs of potatoes can you get with $516?

Answers

Answer:

42

Step-by-step explanation:

516 divided by 72 = 7.1. You cant use .1 pound . Then you do 6*7 = 42 pounds of potatoes

I need help pls , Solve: 5a + 4 = 19

Answers

5a+4=19 this is the equation to solve for a 5a=19-4

5a=15

a=15÷3

a=3

Based on the lesson identify the first operation needed to solve the following equation 2x + 3 = 11

Answers

Answer: Subtract 3 from both sides of the equation

simplify

divide both sides on the equation by the same term

simplify

your answer should be 4

Step-by-step explanation:

ASAP ASAP ASAP
HELP ME PLEASE

Answers

Answer:

D i'm pretty sure

Step-by-step explanation:

Answer: $2.19

Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.

PLEASE HELP ANYONE:))

Answers

Answer:

3 million dollars

Step-by-step explanation:

i just did this and got it right

anya bought 1.3 pounds of apples. She used 0.28 pound in a pie. How much is​ left? Use the bar diagram to help you

Answers

Answer:

1.02 pounds left

Step-by-step explanation:

Skip the bar graph, just subtract .28 from .30 and voila!

Combine like terms

9w-w =

Answers

9w-w=8w because its 9 positive w plus 1 negative w

Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)

Answers

Answer:

            y =  -⁸/₉(x + 1)² +5

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5

On a map of Texas, one inch represents 75 miles. The distance between
San Antonio and Houston is 2.7 inches on the map. What is the distance
from San Antonio to Houston according to the map?
A 175 miles
B. 202.5 miles
C. 225.5 miles
D. 270 miles

Answers

Answer:  B. 202.5 miles

Step-by-step explanation:

Multiply the scale ratio by the number of inches given on the map.

2.7 × 1 inch  and  2.7 × 75 miles    2.7×75=202.5

2.7 inches represents 202.5 miles

Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916

Answers

Answer: 30 small bags

Step-by-step explanation:

From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.

When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:

= 6514/214

= 30.43

= 30 small bags

WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?

Answers

Answer:

I think around 17 min...

Step-by-step explanation:

there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....

60/8= 7.5 and 60/ 6=10

so 7.5+10 = 17.5

somewhere around there

Nedd help for this one

Answers

Answer:

20, -7, -14, 10, -5, 8

20 + 10 + 8 + (-5) + (-7) + (-14) - organize all values (makes it easier to add)

38 + (-26) - add like terms

12

12/6 -divide sum by number of values

2 - answer

hopes this helps

Step-by-step explanation:

I start at 5,6 and move 4 units down what will i end up with

Answers

you will end up at point (5, 2)

Answer:

5,2

Step-by-step explanation:

since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis

5 stays the same since you're not moving on the x-axis

(5,2)

Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?

Answers

Answer:

Neptune is 80 times farther from the Sun than Mercury.

It takes 4 hours to reach the light from the Sun to Neptune.

Step-by-step explanation:

Given that the average distance between the Sun and Mercury,

[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.

The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes

Let v m/s  be the speed of light.

So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex]  [as speed = distance/time]

Now, the average distance between the Sun and Neptune,

[tex]d_2=2.8\times 10^9[/tex] miles.

The ration of the average distance of Neptune and Mercury from Sun,

[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]

[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]

So, Neptune is 80 times farther from the Sun than Mercury.

The time to reach the light from the sun to Neptune,

[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]

[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]

[tex]=\frac {d_2}{d_1}\times t_1[/tex]

[tex]=80\times 3[/tex]  [using equation(ii)]

=240 minutes

=4 hours [as 1 hour =60 minutes]

Hence, it takes 4 hours to reach the light from the Sun to Neptune.

Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.

Given the Parameters :

Mercury's average distance from sun = 35000000 miles

Time taken for light to travel to mercury = 3 minutes

Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]

Number of times Neptune is father from the sun than Mercury :

(Neptune's distance) ÷ Mercury's distance

[tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]

Hence, Neptune is 80 times farther from the sun than Mercury.

Time taken for light to reach Neptune :

Time taken to each mercury × 80

3 minutes × 80 = 240 Minutes

60 minutes = 1 hour

240 minutes = (240 ÷ 60) = 4 hours

Therefore, it would take 4 hours for light to reach Neptune.

Learn more : https://brainly.com/question/18405415

Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?

Answers

Answer:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Step-by-step explanation:

Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.

Since each section of fencing is 1-foot long, both x and y must be integer numbers.

The perimeter of the rectangular space is calculated as:

P = 2x + 2y

And we know she uses all 30 sections of fencing, thus:

2x + 2y = 30, where x, y are integers and positive.

Simplifying by 2:

x + y = 15

Solve for x:

x = 15 - y

This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.

Another valid option is for y=2, x=13

Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.

Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.

The area of a rectangle is

[tex]A=x\cdot y[/tex]

Testing some possible arrangements:

y=1, x=14

[tex]A=1\cdot 14= 14 ft^2[/tex]

y=2, x=13

[tex]A=2\cdot 13= 26 ft^2[/tex]

y=3, x=12

[tex]A=3\cdot 12= 36 ft^2[/tex]

We can notice the combination y=7, x=8 has an area of:

[tex]A=7\cdot 8= 56 ft^2[/tex]

This is the largest possible area of all combinations, thus:

The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]

Solve for x and y in the diagram below

Answers

Answer:

x= 39

y= 123

Step-by-step explanation:

Please see the attached picture for the full solution.

Read the power and then check all that apply. 34 = 3 × 3 × 3 × 3 A power is a shorter way to write repeated multiplication. The base is 3. The base is 4. The exponent is 3. The exponent is 4. The exponent tells you to multiply the 3 together 4 times. The exponent tells you to multiply the 4 together 3 times.

Answers

Answer:

the right one's are  

1,2,5,6

Step-by-step explanation : I hope this helps everyone

Answer:

The Answers our:

Step-by-step explanation:

A: A power is a shorter way to write repeated multiplication.

B: The base is 3

E: The Exponent is 4

F: The exponent tells you to multiply the 3 together 4 times.

Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
A.

B.

C.
177.5
D.
355

Answers

answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c

12 5/8 in decimal form

Answers

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.

Choose a function to represent this scenario

Answer:

12.625

Step-by-step explanation:

12 is a whole so it would go before the decimal point.

5/8 or 5 divided by 8 is equal to 0.625.

12 + 0.625 = 12.625

*PLEASE HELP ANSWER*
* I WILL GIVE BRAINLIEST *

Answers

Answer:

Union

Step-by-step explanation:

None of the terms in each inequality intersect.

so its not intersection

Its two inequalities put together so its union

Union I believe hopes that helps
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