Given 4 dou of corn and 12 dou of sesame, the total cost is 72 coins. Given 10 dou of sesame and 5 dou of corn, the total cost is 75 coins. Tell: what is the cost of 1 dou of corn and 1 dou of sesame?

Answer:

y = 37/4

Step-by-step explanation:

Answer:

Your answer is y = 37/4 or 9.25 or 9/1/4

Step-by-step explanation:

Right away we can just solve for y, so we minus 9 to both sides of the equation:

-4y = -37

Then we divide -4 from both sides:

y = 37/4 or 9.25 or 9/1/4

By the solving equation we get 570 adult tickets and 215 child tickets were sold on that Saturday at the movie theater.

To find the number of each type of tickets sold, we can use a system of equations. Let's assume that the number of adult tickets sold is represented by 'a', and the number of child tickets sold is represented by 'c'.

From the given information, we know that the movie theater charges $5 for an adult ticket and $2 for a child's ticket. We also know that the theater sold 785 tickets for a total revenue of $3,280.

Based on this information, we can write two equations:

1. The total number of tickets sold: a + c = 785 (Equation 1)
2. The total revenue from ticket sales: 5a + 2c = 3280 (Equation 2)

Now, let's solve this system of equations to find the values of 'a' and 'c'.

First, let's isolate 'a' in Equation 1 by subtracting 'c' from both sides:
a = 785 - c

Next, substitute the value of 'a' in Equation 2:
5(785 - c) + 2c = 3280

Simplify the equation:
3925 - 5c + 2c = 3280
3925 - 3c = 3280

Now, isolate 'c' by subtracting 3925 from both sides:
-3c = 3280 - 3925
-3c = -645

Divide both sides of the equation by -3 to solve for 'c':
c = -645 / -3
c = 215

Now, substitute the value of 'c' back into Equation 1 to solve for 'a':
a + 215 = 785
a = 785 - 215
a = 570

Therefore, 570 adult tickets and 215 child tickets were sold on that Saturday at the movie theater.

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Answer:

Just flip the points to the negative values in the 2nd quadrant

Answer:

Jacqui mistake is that she divided wrong because 3480 divided by 5 is 696

Step-by-step explanation:

Jacqui mistake is that she divided wrong because 3480 divided by 5 gives 696

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given that Jacqui wants to work out 3480 ÷ 5

She knows that Jacqui writes

3480 ÷ 10 = 348

3480 ÷ 5 = 174

This solution of the division is wrong, the correct answer is

3480 ÷ 5 = 696

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In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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The requried equation of the graph shown is y = sin (x - π/2).

The curve shown in the graph is of the sine function with some trasformation given as,
The graph of sinx is shifted π/2 units left, so the equation of the graph is given as,
y = sin (x - π/2)

Thus, the requried equation of the graph shown is y = sin (x - π/2).

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Answer:

\(2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5\)

Answer:

1

Step-by-step explanation:

2*6+4-3*5

12+4-15

16-15

1

a) There are 8,145,060 possible outcomes when drawing five balls numbered 1 to 43.

b) There are 23 possible outcomes when drawing one ball numbered 1 to 23.

c) The probability of hitting a jackpot guessing all 6 numbers correctly is 1/186,492,840.

a) In this case, we want to choose 5 balls from a set of 43 balls, so we can calculate the total number of possible outcomes as:

⁴³C₅ = 43! / (5! * (43-5)!) = 43! / (5! * 38!) = 8,145,060

b) In this case, we want to choose 1 ball from a set of 23 balls, so we can calculate the total number of possible outcomes as:

²³P₁ = 23! / (23-1)! = 23

c) To calculate the probability of hitting a jackpot by guessing all six numbers correctly, we need to calculate the probability of each individual event and then multiply them together.

The probability of correctly guessing all five balls numbered 1 to 43 is:

1/8,145,060

The probability of correctly guessing the single ball numbered 1 to 23 is:

1/23

Therefore, the probability of hitting the jackpot by correctly guessing all six numbers is:

(1/8,145,060) * (1/23) = 1/186,492,840

This means that the chances of winning the jackpot in this lottery are approximately 1 in 186.5 million.

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Answer:

I'm not sure 710

Step-by-step explanation:

I'm not sure

Answer:

#14

y=5

x=14

Step-by-step explanation:

I did 14 for you

the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.

The combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".

The question asks us to find the total amount of money earned by Mary by working as a tutor and a waitress combined. We have been given that Mary earns $12 per hour as a tutor and $15 per hour as a waitress.Let the number of hours Mary worked as a tutor be t. As we know, the total number of hours worked by Mary is 91.

So, Mary must have worked (91 - t) hours as a waitress.So, the total money earned by Mary is given by: Total money earned = (Money earned per hour as a tutor × Number of hours worked as a tutor) + (Money earned per hour as a waitress × Number of hours worked as a waitress)⇒ Total money earned = (12 × t) + (15 × (91 - t))⇒ Total money earned = 12t + 1365 - 15t⇒ Total money earned = -3t + 1365.

So, the combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".Note: As the question asks for an expression, we do not need to simplify it. However, if we are required to find the actual dollar amount, we can substitute the value of t in the expression and then simplify it.

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To calculate the rate of return for the extra investment, we need more information such as the cash inflows from the extractor and the alternate equipment. Without this information, it is not possible to determine the rate of return.

To calculate the rate of return, we would need the cash inflows generated by both the existing extractor and the alternate equipment. Cash inflows could come from the sale of vegetable oil or any other revenue generated by using the equipment. Without these values, we cannot calculate the rate of return.

Additionally, the rate of return calculation would also require the initial investment, salvage value, and the time period considered. In this case, the initial cost and salvage value for the existing extractor are provided, but we still need the initial cost and salvage value for the alternate equipment.

Without the necessary data, it is not possible to determine the rate of return for the extra investment in the extractor replacement.

The calculation of the rate of return for the extra investment in the extractor replacement cannot be determined without knowing the cash inflows from both the existing extractor and the alternate equipment.

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Answer: x=31/2

Step-by-step explanation:

7x-23 + 2x + 11 + 3(x+2) = 180 ==>3 angles of triangle add up to 180 degrees

7x-23 + 2x + 11 + 3x+6=180

7x+3x+2x+11+6-23=180

10x+2x+17-23=180

12x-6=180

12x-6+6=180+6

12x=186

x=186/12

x=31/2

Answer:

Step-by-step explanation:

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

\(\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm\)

So, the value of x is 12 cm and that of y is 24 cm.

In any group of two or more people, there are always two who have the same number of friends within the group.

Suppose we have a group of n people. Each person can have between 0 and n-1 friends within the group. If someone has 0 friends, then everyone else must have at least 1 friend. Similarly, if someone has n-1 friends, then everyone else must have at most n-2 friends.

Therefore, there are only n-1 possible numbers of friends that a person can have within the group. But we have n people, so by the pigeonhole principle, at least two people must have the same number of friends within the group.

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Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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Approximately 159 weigh less than 135 g and approximately 159 weigh more than 165 g. Plotting the average value with one standard deviation

The standard deviation can be calculated by simply calculating the square root of the total of all squared variances. plotting the average value with one standard deviation, or sigma, above or below that normal distribution curve.

given

Mean, μ = 150

15 is the standard deviation.

Using the Zscore equation:

Zscore is equal to (x-) /

For x > 165

P(x > 165)

Z = (165 - 150) / 15

Z = 15 /15 = 1

P(Z > 1) = 0.15866 (Z probability calculator) (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

For x < 135

P(x < 135)

Z = (135 - 150) / 15

P(Z > - 1) = 0.15866 (Z probability calculator) (Z probability calculator)

1000 * 0.15866 = 158.66 = 159

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Using a unitary method, we have identified that the smaller pot has more water.

To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.

Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.

As we can see, the smaller pot has more water than the larger pot.

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The probabilityIna deck of 52 cards, there are 26 red cards and 4 cards numbered 4.

Thus,

Probability of an event is evaluated as

Thus,

Similarly,

The probability of selecting a red card or a 4 is evaluated as

Thus, the probability of selecting a red card or a 4 from a deck of 52 cards is

The correct option is B

i think it is a function.

Answer:

Function

Step-by-step explanation:

if I'm wrong beat me up

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite abgles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

To write 9 in Roman Numerals, you would use the symbols "IX".

The symbol "I" represents the number 1 and the symbol "X" represents the number 10. When a smaller symbol is placed before a larger symbol, it means that the smaller symbol is subtracted from the larger symbol.

In this case, "I" is placed before "X", so it is subtracted from 10, giving us the value of 9.

Here is a step-by-step explanation:

1. Identify the symbols for 1 and 10: "I" and "X"
2. Place the smaller symbol before the larger symbol: "IX"
3. Subtract the smaller symbol from the larger symbol: 10 - 1 = 9
4. The result is the value of the Roman Numeral: "IX" = 9

Therefore, the Roman Numeral for 9 is "IX".

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As he cooks on the barbecue, the weight of the tank goes down because some of the propane is getting used up.

Given that is happening, the graph showing that has to start with a lot in it and slowly decrease.

That being said, the graph representing the decrease in propane as time passes is C.

Answer: C.

Answer:

√34

Step-by-step explanation:

To find the distance between two points, you can use the distance formula, which is:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

We can plug in the points (3, 7) and (-2, 10) to get:

d = √[(-2 - 3)^2 + (10 - 7)^2]

We can simplify.

d = √[(-5)^2 + (3)^2]

d = √(25 + 9)

d = √(34)

d =  √34

Answer:

25 ft

Step-by-step explanation:

Side² = 24² + 7² = 625

√625 = 25 ft

Answer:

2y >= 5/2

Step-by-step explanation:

Answer:

polygons

Step-by-step explanation:

this is a hexagon so the sum of interior angles is 720. so add all of those angles and expressions and set it equal to 720. collect like terms and solve for x

once you have x, evaluate and get the exact angle measurements.