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Ratling [72]
3 years ago
10

2. Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
The answer to the problem is B.2
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Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/
guapka [62]

Answer:

$14.43¢

Step-by-step explanation:

We are given; 1\frac{2}{5} pounds, 1 pound = $4.20 and 2\frac{1}{4} pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert 1\frac{2}{5} to a decimal. It is 1.4. Now we can set up a graph.

<u>Avocados</u>

\frac{4.2}{1}=\frac{x}{1.4}

Switch sides

\frac{x}{1.4}=\frac{4.2}{1}

Apply rule: \frac{a}{1}=a

\frac{x}{1.4}=4.2

Multiply both sides by 1.4

\frac{1.4x}{1.4}=4.2\cdot \:1.4

Simplify

x=5.88

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert 2\frac{1}{4} to a decimal. It is 2.25. Now we can set up a graph.

<u>Asparagus</u>

\frac{3.8}{1}=\frac{x}{2.25}

Switch sides

\frac{x}{2.25}=\frac{3.8}{1}

Apply rule : \frac{a}{1}=a

\frac{x}{2.25}=3.8

Multiply both sides by 2.25

\frac{2.25x}{2.25}=3.8\cdot \:2.25

Simplify

x=8.55

So, her cost for asparagus is $8.55¢

<u>Total cost</u>

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

8 0
3 years ago
A, O and B lie on a straight line segment.
Helga [31]
180 is the degrees a straight line segment is. This means that
4x + 3x + 2x = 180.
Since these all have the same variable (x), then you can add the coefficients. (4,3,2)
9x = 180
180/9 = x

X = 20

6 0
3 years ago
Read 2 more answers
About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for
Deffense [45]

Answer:

5.10 people

Step-by-step explanation:

Calculation to Find the standard deviation for the number of people with the genetic mutation

Using this formula

Standard deviation = √ ( n * p * q)

Where,

n = 400

p = .07

q = 100%-7% = 93% or .93

Let plug in the formula

Standard deviation =√400*07*.93

Standard deviation =√26.04

Standard deviation = 5.10 people

Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.

5 0
3 years ago
Hello Brainly Teacher Brainly Moderators and trusted helpers!​
tatyana61 [14]

Answer:

  • P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

  • Mean grade μ = 86,
  • Standard deviation σ = 4,
  • Grade limit x = 84.

<h3>To find </h3>

  • Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

  • z = (x - μ)/σ

Substitute values and calculate:

  • z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

  • P(x < 84) = 0.30854 or approximately 31%
4 0
2 years ago
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p
AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

6 0
3 years ago
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