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zavuch27 [327]
3 years ago
11

How much does one case cost

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

So for this we will be using a system of equations, with one equation representing Shakira's sales and the other representing Jeff's sales. Our equations are such (Let x = oranges and y = grapefruit)

5x+8y=235\\ 3x+2y=85

For this, I will be using the elimination method. So firstly, multiply both sides of the second equation by -4: -12x-8y=-340

Next, add 5x+8y=235 and -12x-8y=-340 to get -7x = -105 . From here we can solve for x.

For this, just divide both sides by -7, and your answer is going to be x = 15.

Now that we know what x is, just substitute x for 15 in either equation to solve for y. For this I will be using the second equation.

3(15)+2y=85\\ 45+2y=85\\ 2y=40\\ y=20

Since we know that oranges cost $15 and grapefruit cost $20, just add them together to get your answer, which is $35.

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a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball
Anton [14]

Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

<u>first: calculate the number of Black balls to be picked from the three bags</u>

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

4 0
3 years ago
Mark save $258 more than Neil. In fact Mark saved $7 for every $4 Neil saved. How much money did Mark say?
olasank [31]

Let

x---------> amount of money saved by Mark

x---------> amount of money saved by Neil


we know that

x=y+258-------> equation 1

x/y=(7/4)-------> equation 2

substitute equation 1 in equation 2

(y+258) /y=7/4--------> 4*(y+258)=7*y------> 4y+1032=7y

7y-4y=1032--------> 3y=1032------> y=$344

x=344+258------>x=$602


the answer is

$602

6 0
3 years ago
Solve the following linear programming problem by applying the simplex method to the dual problem.
Law Incorporation [45]

Answer:

Objective Function: P = 2x + 3y + z

Subject to Constraints:

3x + 2y ≤ 5

2x + y – z ≤ 13

z ≤ 4

x,y,z≥0

Step-by-step explanation:

3 0
3 years ago
What is 7/7-1/5= ?<br> Is it.....<br><br> 8/12<br><br> 18/35<br><br> 28/35<br><br> 6/35
Elza [17]
1-(1/5)= 4/5 or 28/35 if you multiply top and bottom by 5
8 0
3 years ago
What is the solution of the system for 1-3?
Aloiza [94]

Answer:

Step-by-step explanation:

4 0
3 years ago
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