There are 63 students going on the trip, and you want to divide them up between 15 chaperones with 4 or 5 students in each group. How many groups will have 4 students, and how many will have 5?

Answers

Answer 1

There are 12 groups with 4 students and 3 groups with 5 students

How many groups will have 4 students, and how many will have 5?

Represent the students as follows:

Group with 4 students = x

Group with 5 students = y

So, we have the following system of equations

4x + 5y = 63

x + y = 15

Make x the subject in x + y = 15

x = 15 - y

Substitute x = 15 - y in 4x + 5y = 63

4(15 - y) + 5y = 63

Expand

60 - 4y + 5y = 63

Evaluate

y = 3

Substitute y = 3 in x = 15 - y

x = 15 - 3

This gives

x = 12

Hence, there are 12 groups with 4 students and 3 groups with 5 students

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Related Questions

7+8-2x3=25 how to make this statement true

Answers

(7 x 8) - (2 x 3) / 2 = 25

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

Work below. Enjoy!

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

Break up the statement first, and then find the answer.

(7 + 8) - (2 x 3) = 25

15 - 6 = 25

Since it isn't true, try playing around with different functions. I'll spare time and write down my work:

(7 x 8) - (2 x 3) / 2 = 25

56 - 6 /2 = 25

50 / 2 = 25

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

Good luck! :)

~pinetreee

Concert R charges an admission fee of $10.00 and $6.25 per souvenir brochure. Concert S charges an admission fee of $13.00 and $5.75 per souvenir brochure.


How many souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same?

6 souvenir brochure
10 souvenir brochure
12 souvenir brochure
18 souvenir brochure

Answers

The number of souvenir brochures  that must be purchased in order for the total cost at Concert R and Concert S to be the same is 6 souvenir brochure

When does the number of  souvenir brochures for both concerts become the same?

In order for the total cost of  souvenir brochures to be the same in for both concerts, their total costs must be the same

Concert R:

let x be the  number of souvenir brochures for both concerts

total cost=10.00+6.25x

Concert S:

let x be the  number of souvenir brochures for both concerts

total cost=13.00+5.75x

10.00+6.25x=13.00+5.75x

6.25x-5.75x=13.00-10.00

0.50x=3.00

x=3.00/0.50

x=6

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Kelly worked on a straight 9% commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,100 worth of merchandise.
How much did her friend earn for the same month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Answers

Answer:

$1260

Step-by-step explanation:

Step 1: Read and analyze the problem

In this problem, you are asked to find out how much her friend earned in the same month. You are given information about their commission rates and the total amount of merchandise they sold.

Step 2: Identify the known values and the unknown value

The known values in this problem are the commission rates and the total amount of merchandise sold. The unknown value is the amount her friend earned in the same month.

Step 3: Create an equation or system of equations

You can create an equation to solve for the unknown value using the information given in the problem.

Step 4: Solve the equation or system of equations

If you solve the equation, you will find that her friend earned $1,260 in the same month.

Hope this helps! Please mark me brainliest

Answer:1260

Step-by-step explanation:

I will give brainliest to who ever helps

Answers

Answer:

Use Pythagorean theorem. [tex]\sqrt{52}[/tex]

Step-by-step explanation:

evaluate the expression 4k^{5} -3k^{3} +k^{2} -k for k=2

Answers

Answer: 106

Step-by-step explanation:

To solve this problem, simply substitute k in the equation for 2 and evaluate:

[tex]4(2)^5 - 3(2)^3 +(2)^2 -2 = 106[/tex]

The point b is the midpoint of ac find the location of a

Answers

Answer:

A = -23

Step-by-step explanation:

If B is directly between A and C, and C is 9 points above B, then A must be 9 points below B.

-14 - 9 = -23

In round 1 in a game, Daniel earned 8.925 points. In round 2 he earned 11.6 points, and in round 3 he earned twice as many points as he did in round 2.

Answers

Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

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Find an ordered pair (x, y) that is a solution to the equation 6x+y=7

Answers

(1,1)

6(1)+1=7

Hope this helps!!

Is this a nonlinear or linear?

Answers

The given data represent linear equation

A linear equation is represented by straight line. An equation between two variables that gives a straight line when plotted on a graph is called a linear equation.

as given in this data we can see that the value of y is uniformly increasing by 25 when we increase x by 1. and this pattern follows the whole data.

So, when we represent this data on x and y graph, we will obtain a straight line graph

Final answer, the given data will represent a linear equation graph

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98,615 kg of sugar was produced in the year 1993.This was 75069 kg more than the quantity of sugar
produced in 1992.What was the production in 1992 ?

Answers

173,684 was the production in 1992 in a linear equation .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

the production in 1992  = 75069 × 1 +  98,615

=  75069 + 98,615

=  173,684

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A charge of $8.99 is automatically deducted from Ari's bank account each
month for a live TV streaming service. What is the change in Ari's bank
account after 6 months for this service? Lesson 1-3 7.NSO.2.2, 7.NSO.

Answers

Answer:

53.94

Step-by-step explanation:

Multiply 8.99 x 6 to get the answer $53.94

Find the 96th term of the arithmetic
sequence -3, -14, -25,

Answers

The 96th term of this arithmetic sequence is -1059.

In an Arithmetic Progression (AP), the nth term is given by the formula-

a9 = a + (n-1)d

where a = first term of the AP

d = common difference

Here, we are given an AP-

-3, -14, -25

Here a = -3

and d = -14 + 3 = -11

Let the 96th term of the AP be a96

Therefore, according to the formula for finding the nth term of an AP, we get-

a96 = a + (96-1)d

a9 = a + 95d

Substituting the values of a and d given in the question-

a96 = -3 + 96(-11)

a96 = -3 - 1056

a96 = -1059

Thus, the 96th term of the arithmetic sequence is -1059.

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How can you tell if a relation has symmetry?

Answers

Answer:

they r two angles day sum up to 180°

but de complementary angles sum up to 90°

Step-by-step explanation:

i hope it helped ;)

Translate 12y + 3 into an english expression

Answers

Answer: No hablo english

Step-by-step explanation: Hola como estas

Francis, Georgie, and Harrieta go to the library to study every few days. Francis goes to the library every eighth day, Georgie goes every 18th day, and Harrieta goes every ninth day. In how many days will Francis, Georgie, and Harrieta all be at the library together?

Answers

Based on the days that Francis, Georgie, and Harrieta go to the library to study, the number of days till they will all be at the library together is 72 days.

How to find the day they'll be at the library together?

The day that they'll be at the library together can be found by checking for the least common multiple of the days that Francis, Georgie, and Harrieta go to the library to study.

The days that they go to study are every 8, 18th, and 9th day.

You therefore need to find the least common multiple of 8, 9, and 18.

This number is 72.

This means that the number of days till Francis, Georgie, and Harrieta go to the library to study together will be in 72 days.

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Solve the equation 8 + dw = m for the variable w.​

Answers

Answer:

hi there is no dear sir please

Answer:

w= (m-8)/d

Step-by-step explanation:

8+dw=m

dw=m-8

w= (m-8)/d

*Insert cricket noises



cause no one is anwering my questions anymore... #lonely

Answers

Answer:

1.01 × [tex]10^{-5}[/tex]

2.7 × [tex]10^{-5}[/tex]

1.01 × [tex]10^{-4}[/tex]

2.7 × [tex]10^{5}[/tex]

Step-by-step explanation:

The negative exponent automatically makes it smaller than the positive exponent. The more negative the exponent is, the less the value it will be. However, since 1.01 < 2.7, then it is less.

All work and answers are provided in the attached screenshot! :)

PLEASE HELP!!!!! PLEASE!!!!

I need all of parts 1, 2, and 3


Please don't do number 6 :)

Answers

Part I

The domain of the graph is represented by 0 ≤ x ≤ 12In terms of the problem the domain means the time in hours taken to notice change in temperature in degrees Celsius.

Part II

The range of the graph is represented by -2 ≤ x ≤ 4In terms of the problem the range means the temperature in degrees Celsius noted during the time spent, the time is in hours

Part III

The function is decreasing from 0 to 3 hours, this is the point in the x axis that is mathematically represented as 0 ≤ x ≤ 3.This decreasing interval means that it is getting cold, since the temperature is dropping and temperature drop implies getting cold.

What temperature?

This a term that represents the amount of how hot or cold a substance is the unit used to measure temperature as regards the question is degrees Celsius.

The range of the graph is temperature while the domain is the time

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4 rounded to the nearest place

Answers

It’s is 0 if rounded to the nearest tenth place
i think 0 is the answer

Three times the sum of a number and two is equal to -9.

Answers

3 x (2 + x) = -9
x=-5

The graph of the function f is shown. The domain of f is [0, 50]. What is the range of g(x) = 4f(x)?

The graphs with the X-coordinate marks 0, 10, 20, 30, 40 and 50. The Y-coordinate mark 0, 0.5, 1, and 1.5. There is an absolute value function with vertex at (25, 1.75). It starts at origin and ends at (50, 0).

A. [0, 50]
B. [0, 70]
C. [0, 1.75]
D. [0, 7]

Answers

Based on the calculations using the given graph, the range of g(x) is equal to: D. [0, 7].

How to identify the range and domain of this graph?

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of f(x) shown, we can infer and logically deduce the following:

Domain = (0, 50) i.e the domain is all real numbers.

Range = (0, 1.75).

What is the range of g(x) = 4f(x)?

At the minimum f(x) = 0, we have:

g(x) = 4 × 0

g(x) = 0.

At the maximum f(x) = 1.75, we have:

g(x) = 4 × 1.75

g(x) = 7.

Therefore, the range of g(x) is equal to [0, 7].

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A local gym is running a promotional offer of 40% off their annual gym memberships.
The annual membership costs £340.
How much discount would you get off?

What is the cost of the membership after the discount?

Answers

The cost of the membership after a discount of $ 136 will be $ 204.

We are given that:

a local gym is giving a discount for the promotional offer it has to make.

Discount percentage = 40 %

Cost of the annual membership = $ 340

Discount = 40 % of $ 340

Discount = 40 / 100 × $ 340

Discount = 0.4 × $ 340

Discount = $ 136

So, the cost of annual membership after discount will be:

Cost = $ 340 - $ 136

Cost = $ 204

Therefore, the cost of the membership after a discount of $ 136 will be $ 204.

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What the answer to (-9.5)(-2)

Answers

Answer:

19

Step-by-step explanation:

he radius of an iron atom has been calculated to be about 0.00000000014 m. What is this length in scientific notation?

Answers

Answer: 1.4 × 10^-10 m

Calculator

How many significant figures does 163 have?

Answers

Answer:

3

Step-by-step explanation:

The Significant Figures are 1_6_3

Hope it helps! :)

3 is the answer. Let me know if you need more help

(24÷4 x 3)+5(2)
I need a little bit of help

Answers

Answer: 28

Step-by-step explanation: I am just like that

PEMDAS- Divide first to get 6, then multiple that by 3, to get 18.
Multiple 5 and 2 to get 10
THEN ADD BOTH 18 & 10=
28

What is the standard unit of volume? What can be used to measure volume?

Answers

Answer:

The answer is Cubic Units (Thank me later)

Step-by-step explanation:

AC = 3x + 3
AB= -1 + 2x
B is between A and C. Find x
None of the other answers are correct
O-8
07
O 12
0 1
BC = 11

Answers

The value of the x is 7 ; By considering the linesegment AC of algebraic length 3x+3,AB of algebraic length -1+2x and BC of length 11 units.

Given, A linesegment AC of algebraic length 3x+3,AB of algebraic length -1+2x and BC of length 11 units, B is the midpoint of the linesegment AC and asked to find the value of x

AC=AB+BC {as B is the midpoint of the linesegment AC}

⇒3x+3=-1+2x+11

⇒x=7

Therefore,The value of the x is 7 ; By considering the linesegment AC of algebraic length 3x+3,AB of algebraic length -1+2x and BC of length 11 units.

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molly is making small bags of sweets for a childrens party she buys seven big bags of sweets each bag contains 47 sweets. how many sweets does molly have?

she wants to give each child 20 sweets in their bag, how many full bags can she make

Answers

329 sweets
16 full bags

Explanation:
7bags x 47sweets per bag = 329sweets
329sweets / 20sweets = 16 FULL bags

Jayme submitted the following work when asked to convert 34/5 to a mixed number

Answers

Answer:

jayme submitted the following work when asked to convert 34/5 into mixed fractions

 6 4/

Step-by-step explanation:

Answer:

6 4/5

Step-by-step explanation:

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