1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gre4nikov [31]
3 years ago
12

Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5

3 items and earned $105.50 for their school. (YOU MUST SHOW ALL WORK TO GET FULL CREDIT!!!)3.
(a)Write and solve a system of equations that model the problem. Show all your work.
(b)Which class earned more money?
(c)How much more money did that class earn?

Answer:
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

c+p = 53

2.5c+1.5p = 105.5

p = 27

c= 26

Mrs. Johnson  earned 65

Mr Smith  earned 40.5

Mrs Johnson earned  24.50 more

Step-by-step explanation:

Let c = cookies sold

p = popcorn sold

The number of items sold is 53

c+p = 53

The total cost of the items sold is 105.50  

The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50

2.5c+1.5p = 105.5

System of equations:

c+p = 53

2.5c+1.5p = 105.5

Multiply the second equation by 10 to clear the decimals

10 *(2.5c+1.5p) = 10*105.5

25c+15p = 1055

Divide by 5

25c/5 +15p/5 = 1055/5

5c+3p =211

Multiply equation 1 by -5

-5(c+p)=-5*53

-5c-5p=-265

Add the equations

5c+3p =211

-5c-5p=-265

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

-2p = -54

Divide by -2

-2p/-2 = -54/-2

p = 27

Now we need to find c

c+p = 53

c+27 = 53

Subtract 27 from each side

c+27-27 = 53-27

c= 26

Mrs. Johnson  earned the number of cookies times 2.5

c* 2.5

26*2.5 =65

Mr Smith  earned the number of popcorn times 1.5

p*1.5

27*1.5

40.5

Mrs Johnson earned 65-40.5 = 24.50 more

You might be interested in
When expressed in scientific notion the number 1,230,000,000 is 1.23 x 10B. The value of B is.
gladu [14]
I hope this helps you



123×1000000000


123×10^10

123×1/100×10^12

1,23×10^12



6 0
3 years ago
the following data represent the number of people aged 25-64 years covered by health insurance (private or government) in 2018.
astraxan [27]

Answer:

mean = find the total of people in such data by adding up all the totals of people represented by each age then  divide that total by 2.

mean = with cumulative or frequency graphs if the numbers range individually like 25-30 and 30-35 etc and so on then you take the midpoint age and multiply it by the frequency number in new column add up both columns then divide by smaller total.

mean = histogram total number of data ie) from 270 people (80 x 0 = 0), (40 x 2 = 0) and so on multiplying the frequency. then add them all up in new column ie) 380 among 270 people = 1.4  

mode = histogram highest box

median = histogram add up all data number divided by 2 and can draw this on graph as they sort of are in order ie) 15 to the left and 15 to the right

To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's

n = number of scores ie)  = 50  

Ex = then sum of x  = would be the collective total  ie) = 270

m = 270/50 = 5.4

Ex^2 = 270 x 270 = 72900   (the square of the total population)

SS = Sum of squares = 72,900 - ( 270^2 / 50) are all the variables.

is the formula  = 71,442

the root of SS -1

S^2 = 270 / (50 -1) =  270/49 = 5.51

S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.

Standard Deviation on data example here shown is;

S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662  from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.

Just retrace and where 270 is change for total

Where 50 is put 64-25 = 39

and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.

As your very last formula is S = SS/n-1

Step-by-step explanation:

5 0
2 years ago
What is 1.75rounded to the nearest cent mathematics
Stels [109]
The answer is the same as the question. 1.75
8 0
3 years ago
What is the solution of the system for 1-3?
Aloiza [94]

Answer:

Step-by-step explanation:

4 0
2 years ago
Write a rule for the linear function shown in the graph.
Bezzdna [24]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 1 ,   − 2 )

Equation Form:

x = 1 ,   y = − 2

Step-by-step explanation:

Graph.

y = 3 x − 1

y = x + 1

y = − x − 1

y = x + 1

8 0
3 years ago
Other questions:
  • What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4?
    11·1 answer
  • Solve for y: 4y-3=5y-8
    5·2 answers
  • Divide and simplify 5/12÷20/36
    10·1 answer
  • Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,
    8·1 answer
  • Help urgent please! evaluate 3^-2?
    15·2 answers
  • What equals 29 in multiplation
    15·1 answer
  • If the producers in this energy pyramid have 625,000 kcal of energy available, how much energy is available in the 3rd trophic l
    12·1 answer
  • (c) Marlene invests $550 at a rate of 1.9% per year compound interest
    8·2 answers
  • Find the circumference of c round to the nearest hundredth
    15·1 answer
  • Simplify a^2-3a2 a^3-8a^2+12a to lowest terms
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!