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Natali [406]
2 years ago
12

Jackie buys 51 kilograms of rice for the school cafeteria. How many grams of rice did Jackie buy?​

Mathematics
1 answer:
tresset_1 [31]2 years ago
3 0
Jackie bought 51000 grams of rice. Because there are 1000 grams in a kilogram so, 51 x 1000 is 51000.
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1. A farmer estimates her hens will produce
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Answer:

Expected profit per dozen eggs = 4 ¢

Expected profit on the total egg production = 60,000 ¢

Step-by-step explanation:

Complete table as obtained online

Net Profit | 8 | 6 | 4 | 2 | 0 | -2

Probability |0.1|0.4|0.2|0.1|0.1|0.1

a) Expected profit per dozen eggs

Expected value is given as

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (8×0.1) + (6×0.4) + (4×0.2) + (2×0.1) + (0×0.1) + (-2×0.1) = 4 ¢ per dozen

b) Expected profit on the total egg production

Last year, she had 12,000 dozen eggs

This year, she estimates 3,000 dozen more eggs

Estimated Total egg production this year = 12000 + 3000 = 15,000 dozen eggs

Expected profit per dozen eggs = 4 ¢

Expected profit on 15,000 dozen eggs = 15000 × 4 = 60,000 ¢

Hope this Helps!!!!

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3 years ago
What is the equivalent ratiosof 11:3
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22:6 is one of them. Do you need more than one?
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HELP !! Which of the following points lies on the graph of this equation? y =2x -2
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Answer:

A.

Step-by-step explanation:

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what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neare
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Answer:

V≈25.13in³

Step-by-step explanation:

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1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating
elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

8 0
2 years ago
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