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
kherson [118]
3 years ago
15

Define the variable you will use in your model

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x represent the number of pounds of fruit that you can buy.

Let y represent the number of pounds of fruit that you can buy.

You need to buy at least 20 of them. This means that

x + y ≥ 20 - - - - - - - - - - - 1

You have a budget of 40$. Fruit cost 4$ per pound and the granola bars cost 1$ each. This means that

4x + y = 40

Substituting y = 40 - 4x into equation 1, it becomes

x + 40 - 4x ≥ 20

x - 4x ≥ 20 - 40

- 3x ≥ - 20

Dividing both sides of the equation by - 1, it becomes

3x ≤ 20

x ≤ 20/3 = 6.67

This means that the maximum number of pounds of fruit that you can by is 6 pounds.

Therefore the combination of fruit and granola bars that you can buy would be

1) 6 pounds of fruit and 16 bars of granola.

2) 5 pounds of fruit and 20 bars of granola.

3) 4 pounds of fruit and 24 bars of granola.

4) 3 pounds of fruit and 28 bars of granola.

5) 2 pounds of fruit and 32 bars of granola.

6) 1 pound of fruit and 36 bars of granola.

You might be interested in
A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f
Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0
3 years ago
I WILL UPVOTE ALL ANSWERS
VikaD [51]
1. incorrect

2. correct

3. incorrect (?)
8 0
3 years ago
Read 2 more answers
App 19.study
lions [1.4K]

Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

Pr(6) = \frac{6}{125} = 0.048

When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

Frequency(3) = 125 * 0.144 = 18

Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

Total \ Frequency = 125

So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

Frequency(1) + 103 = 125

Collect like terms

Frequency(1) =- 103 + 125

Frequency(1) =22

The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

So, the complete table is:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

5 0
3 years ago
Which survey question will produce discrete data? Select all that apply.
just olya [345]

What is your gender

Are you married

8 0
3 years ago
Read 2 more answers
3x+4=7-2x <br> Solve this equation for x with steps
ollegr [7]
Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6
5 0
2 years ago
Other questions:
  • Please don't delete my question! Here they are:
    9·2 answers
  • I need help don’t know how to do
    10·2 answers
  • What is the answer to this question?
    6·1 answer
  • I need this please help me
    8·1 answer
  • Simplify the expression: 4(-4+n) =
    14·1 answer
  • Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?​
    15·1 answer
  • Simplify<br> 43 +4.5<br> Plzzz help!!!!!!
    12·2 answers
  • Can anyone help me please <br> I’ll mark as brainliest.
    15·1 answer
  • Can you guys help me please with these 2 questions
    10·1 answer
  • If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!