MATHEMATICS HIGH SCHOOL

I really need help with this
I really need help with this - 1

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Answer 1
Answer: Answer is 62 x=62 when u do 2x+6=130

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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold. 2x + 3y = 1240 x = 2y – 10 How many of each type of ticket were sold? 180 food tickets and 293 ride tickets 180 food tickets and 350 ride tickets 293 food tickets and 180 ride tickets 350 food tickets and 180 ride tickets
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=−5x^2+263x−1844

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Answer: The maximum amount of profit the company can make is $1604.

Step-by-step explanation:

To find the maximum amount of profit the company can make, we need to determine the vertex of the quadratic equation y = -5x^2 + 263x - 1844. The x-coordinate of the vertex represents the selling price that will yield the maximum profit, and the y-coordinate represents the maximum profit itself.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -5 and b = 263. Let's substitute these values into the formula:

x = -263 / (2 * -5)

Now, let's simplify the expression:

x = -263 / -10

x = 26.3

To find the maximum profit, we substitute the x-coordinate of the vertex into the equation:

y = -5(26.3)^2 + 263(26.3) - 1844

Now, perform the calculations:

y = -5(691.69) + 6906.9 - 1844

y = -3458.45 + 6906.9 - 1844

y = 1604.45

Therefore, to the nearest dollar, the maximum amount of profit the company can make is $1604.

Final answer:

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. To put it another way, profit is what is left over after all costs have been subtracted from revenue

Explanation:

The corporation can earn a maximum profitof $1,292 to the nearest dollar.

Using the given equation y = -5x² + 263x - 1844 we can utilise the procedures below to get the greatest profit the corporation may make:

1. Using the equation x = -b/2a, where a = -5 and b = 263, determine the x-coordinate of the parabola's vertex.

2. To determine the highest possible value of y, substitute this x value into the equation.

These actions result in:

\text{x} = (-b)/(2a) = (-263)/((2\cdot(-5))) = 26.3

When we enter this x value into the equation, we obtain:

\text{y} = -5(26.3)^2 + 263(26.3) - 1844\thickapprox \$3440

As a result, the corporation can earn a maximum profit of $3,440 to the nearest dollar.

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Multiply or divide as indicated.(3x)^12 divided by (3x)^4

Help so lost and confused with this. Don't know where to start

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This is the division property of exponents. When dividing to exponential with the same base, you subtract the exponents, the top minus the bottom. So the answer is (3x)^(12-4)=(3x)^8

Final answer:

The expression (3x)^12 / (3x)^4 simplifies to (3x)^8 according to the rules of exponents.

Explanation:

In mathematics, when you divide two expressions with the same base and both are raised to powers, you just subtract the exponents. The base here is (3x) and the exponents are 12 and 4, respectively.

So, from the rule of exponents, (3x)^12 / (3x)^4 simplifies to (3x)^(12-4) = (3x)^8. This is your final answer.

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A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used to find the value of n?a.n + (3n - 15) = 101
b.4n - 15 = 101

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Answer:

Option a and  b both are correct.

Step-by-step explanation:

We have been given the information that is: n is added to 15 less than 3 times itself.

The result is 101.

So, the number is 15 less than 3 times to itself means: 3n-15

And n is added to it that means:

n+(3n-15)

And its result is 101 so,

n+(3n-15)=101

After simplification of above expression gives:

4n-15=101.

Therefore, Option a and b both are correct.

The simple interest earned by an account varies jointly as the time and the principal. In 2 years, a principal of $5000 earns $650 interest. How much would $1000 earn in 1 year?

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Final answer:

To find the simple interest $1000 would earn in 1 year, we first calculate the interest rate from the provided example, which is 6.5%. Using this rate, the simple interest formula (Principal x Rate x Time) gives us an interest of $65.

Explanation:

The subject of this question regards the calculation of simple interest, a fundamental concept in Mathematics and Finance. First, we'll need to determine the interest rate used in the initial scenario where a $5000 deposit earns $650 interest in 2 years. In this case, using the simple interest formula which is Principal x Rate x Time(PRT), we have:

$650 = $5000 x Rate x 2 years

Solving for Rate, we get: Rate = $650 / ($5000 * 2) = 0.065, or 6.5%.

Now that we know the interest rate is 6.5%, we can calculate the interest $1000 would earn in 1 year. Again using the simple interest formula, we have: Interest = Principal x Rate x Time = $1000 * 6.5% * 1 year = $65.

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A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

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I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.

Pls help its the last question

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Answer:

I believe the answer is -60

Step-by-step explanation:
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