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
topjm [15]
1 year ago
12

2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou

ght 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?

Mathematics
1 answer:
jenyasd209 [6]1 year ago
7 0

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
You might be interested in
The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0
3 years ago
Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that sh
katrin [286]
We know for our problem that Rachel makes $10 per hour. Sincex represent the number of hours that she works,  10x will be the total amount that she will make for working x hours. We also know that she sells bracelets for $5 each. Since y represents the number of of bracelets that she sells, 5y will be her total revenue for selling y bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of 10x and 5y must be equal or greater than 200:

10x+5 \geq 200

We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>

4 0
3 years ago
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
lakkis [162]
A because it shows the car traveling for one hour then stopping and traveling again for 3 hours it travels until one that it stops until two then it goes on until 5
4 0
3 years ago
Solve the equation. 10.35+2.3h=-9.2
Readme [11.4K]

Answer:

h = -8.5

Step-by-step explanation:

10.35+2.3h=-9.2

Subtract 10.35 from each side

10.35-10.35+2.3h=-9.2-10.35

2.3 h =-19.55

Divide each side by 2.3

2.3h/ 2.3 = -19.55/2.3

h =-8.5

8 0
2 years ago
Read 2 more answers
. Suppose that at UVA, 76% of all undergraduates are in the College, 10% are in Engineering, 7% are in Commerce, 3% are in Nursi
xxMikexx [17]

Answer: 34.2%

Step-by-step explanation:

76% of undergrads in The College

45% of those are male (since 55% female)

.76 x .45 = 34.2% of all undergrads are males in The College

4 0
3 years ago
Other questions:
  • Number 18 idk what to do help plz and fast
    11·1 answer
  • Choose the polynomial written in standard form.
    6·1 answer
  • Mason spent 15.85for 3 notebooks and 2 boxes of markers. the boxes of markers cost 3.95 each, and sales tax was 1.23. Mason also
    11·2 answers
  • A hackberry tree has roots that reach a depth of
    14·1 answer
  • Equation of the line that passes through (2, -1) and has a slope of <br> -5
    13·1 answer
  • Simplify: -12x + 4y- 6y + 10x - 25 5x - 2(x - 12)​
    13·1 answer
  • If yall wanna send a paragraph to yo girl/boy here
    5·1 answer
  • PLEASE HELP QUICKLY<br> What is the value of y
    9·1 answer
  • Can I get some help in the next 10 minutes or so
    5·1 answer
  • In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!