Amy raised £n for charity. Chris raised £18 more than Amy.The mean amount raised by the two of them is £45. Work out how much money each one of them raised..
It's one of my Maths homework questions , please help me , thank you!

Answers

Answer 1
Answer:

The amount of money raised by Amy is £36 and by Chris is £54.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Amy raised £n for charity. Chris raised £18 more than Amy. The mean amount raised by the two of them is £45.

Amy = £n

Chris = £n + 18

Mean = ( £n + £n +18 ) / 2

45 x 2 = 2£n + 18

n = £36

Chris = £n + 18

Chris = 36 + 18

Chris = £54

Therefore, Amy and Chris each raised £36 and $54 respectively.

To know more about an expression follow

brainly.com/question/29406213

#SPJ2

Answer 2
Answer: Amy=n
Chris=n+18

Mean:
45= ((n)+(n+18))/(2)
So, 45=n+9
Therefore, n=36

Amy=n=36pounds
Chris=n+18=54pounds

Hope I helped :)

(Sorry I was late for you other question)

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Use the zero product property to find the solutions to the x² + 12= 7x

a theater can seat 638 people. the number of rows is 7 less than the number of seats in each row. how many rows of seats are there?

Answers

rows =x
seats per row=x+7
and total seats = rows times seats per row or x(x+7) or x^2+7x=seats =638
so if you subtract 638 from both sides you can get an equation thatyou can factor out (x^2+7x-638)=0
638 factors out to 2 times 11 times 29 so
(x-22)(x+29)=0
so x-22=0
x=22
or x+29=0
x=-29 but you can't have a negative number of rows so this answer is wrong
so the answer is there are 22 rows and 29 seats (22+7=29)


form an equation using the information given.
x = number of sets in a row
x - 7 = number of rows
x(x - 7) = 638
x^2 - 7x = 638
make a quadratic equation
x^2 - 7x - 638 = 0
then solve either using quadratic equation or find two numbers that add to make -7 and multiply to make -638, one number is negative and one is positive, as the product of the numbers is negative.
-29 + 22 = -7
-29 x 22 = -639
then put into brackets
(x - 29)(x + 22) = 0
when the equation equals zero you can find two values for x
x = 29 or -22

Mrs. Jones decided to buy some pencils for her class. She bought 6 packages of pencils, and each package contained 38 pencils. There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?25
2
114
12

Answers

The answer: 12 pencils.

The process: 6 packages of pencils x 38 pencils each = 228 pencils total

228 / 19 students = 12 pencils per student! 
12, each package was enough for a student to have 2, times 6 packages would equal 12

(k^4_3_3k^3)+(-5k^3+6k^3_8k^5)

Answers

Answer:

(k4+3+3k3)+(-5k3+6k3+8k5)

Final result :

 8k5 + k4 + 4k3 + 3

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((k4)+3)+(3•(k3)))+(((0-(5•(k3)))+(6•(k3)))+23k5)

Step  2  :

Equation at the end of step  2  :

 (((k4)+3)+(3•(k3)))+(((0-(5•(k3)))+(2•3k3))+23k5)

Step  3  :

Equation at the end of step  3  :

 (((k4)+3)+(3•(k3)))+(((0-5k3)+(2•3k3))+23k5)

Step  4  :

Equation at the end of step  4  :

 (((k4) +  3) +  3k3) +  (8k5 + k3)

Step  5  :

Checking for a perfect cube :

5.1    8k5+k4+4k3+3  is not a perfect cube


Trying to factor by pulling out :

5.2      Factoring:  8k5+k4+4k3+3


Thoughtfully split the expression at hand into groups, each group having two terms :


Group 1:  k4+3

Group 2:  8k5+4k3


Pull out from each group separately :


Group 1:   (k4+3) • (1)

Group 2:   (2k2+1) • (4k3)


Bad news !! Factoring by pulling out fails :


The groups have no common factor and can not be added up to form a multiplication.


Polynomial Roots Calculator :

5.3    Find roots (zeroes) of :       F(k) = 8k5+k4+4k3+3

Polynomial Roots Calculator is a set of methods aimed at finding values of  k  for which   F(k)=0  


Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  k  which can be expressed as the quotient of two integers


The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient


In this case, the Leading Coefficient is  8  and the Trailing Constant is  3.


The factor(s) are:


of the Leading Coefficient :  1,2 ,4 ,8

of the Trailing Constant :  1 ,3


Let us test ....


  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -8.00    

     -1       2        -0.50        2.31    

     -1       4        -0.25        2.93    

     -1       8        -0.13        2.99    

     -3       1        -3.00       -1968.00    

     -3       2        -1.50        -66.19    

     -3       4        -0.75        -0.27    

     -3       8        -0.38        2.75    

     1       1        1.00        16.00    

     1       2        0.50        3.81    

     1       4        0.25        3.07    

     1       8        0.13        3.01    

     3       1        3.00        2136.00    

     3       2        1.50        82.31    

     3       4        0.75        6.90    

     3       8        0.38        3.29    


Polynomial Roots Calculator found no rational roots


Final result :

 8k5 + k4 + 4k3 + 3

Step-by-step explanation:


A football team gained 35 yards on a first down, lost 15 yards on the second down and gained 12 yards on the third down. How many yards do they need to gain on the fourth down to have a ten yard gain from their starting position?

Answers

13 yards 

35-15=20
20+12=32
32-35=3
3+10=13

Identify the domain and range of the function graphed below.

Answers

Answer:

Domain: (-4, ∞)

Range: (-∞,∞)

Step-by-step explanation:

Domain is all of your possible x values and range is all of the possible y values. I may have wrote the brackets wrong but the values are wright.

1.) Simplify. 4x + 5y + 9x – 3y

Answers

13x+2y .............................................................................
4x+5y+9x-3y
4x+9x+5y-3y
13x+2y
This is your answer.

Hope that help.