If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM

Answer:

D) Hyperbola.

Step-by-step explanation:

If a right circular cone intersects a plane that passes through one of its nappes, but the plane is not parallel to an edge of the cone, the resulting curve will be one arc of a hyperbola.

Therefore, the answer is Hyperpola.

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A real-world situation that can be modeled by the equation 3 2/3x = 5/6x - 7/8 is when you have a certain amount of money, and you are earning money at a certain rate while also incurring expenses.

To write a real-world situation that could be modeled by the equation 3 2/3x=5/6x-7/8, let's consider a scenario where you have $3.67, and you are earning additional money at a rate of $0.833 per hour. On the other hand, you have expenses of $0.875 per hour. We can represent the money you have earned and the money you have spent using the equation 3 2/3x=5/6x-7/8.

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To write a real-world situation that could be modeled by the equation 3 2/3x=5/6x-7/8, we can consider a scenario where a store is selling two different types of products and the equation represents the difference in the number of sales for the two products.

To write a real-world situation that could be modeled by the equation 3 2/3x=5/6x-7/8, we need to think about a scenario where two quantities are being compared or related. For example, let's consider a situation where a store is selling two different types of products. The equation could represent the difference in the number of sales for the two products over a certain period of time. The left side of the equation represents the number of sales for one product, and the right side represents the number of sales for the other product, with a difference of 7/8 units.

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The company could have mowed more than 54 lawns.

Let the number of lawns mowed be x.

Then the total earning of landscaper is 30x.

The total amount given to the employees in a week is 210*7=$1470.

Then the profit of landscaper would be 30x-1470 which is greater than $150.

30x-1470 > 150

30x > 1620

x > 54

Therefore, possible numbers of lawns the company could have mowed are greater than 54 lawns.

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Between 61 and 80 lawns could have been mowed by the business in a week in order to turn a profit of more than $150. So options (d) and (e) are correct.

To determine the possible numbers of lawns the company could have mowed, we need to calculate the profit for a 7-day week and compare it with the given condition that the profit exceeds $150.

Step 1: Determine daily and weekly expenses

The daily salary expense is $210.

For 7 days, the total salary expense is:

[tex]\[ 210 \times 7 = 1470 \text{ dollars} \][/tex]

Step 2: Calculate profit per lawn

The company earns $30 for each lawn mowed.

Let ( n ) be the number of lawns mowed in a week.

Step 3: Calculate total earnings from mowing lawns

Total earnings for ( n ) lawns is:

[tex]\[ 30n \text{ dollars} \][/tex]

Step 4: Determine the profit

Profit is total earnings minus total expenses:

[tex]\[ \text{Profit} = 30n - 1470 \][/tex]

Step 5: Apply the condition that profit is more than $150

The inequality to solve is:

[tex]\[ 30n - 1470 > 150 \][/tex]

Step 6: Solve the inequality

Add 1470 to both sides:

[tex]\[ 30n > 1620 \][/tex]

Divide both sides by 30:

[tex]\[ n > 54 \][/tex]

Step 7: Identify the possible number of lawns mowed

The number of lawns must be greater than 54.

From the given options (12, 37, 54, 61, 80), the possible numbers are:

[tex]\[ 61 \text{ and } 80 \][/tex]

Thus, the two possible numbers of lawns the company could have mowed to make a profit of more than $150 in a week are 61 and 80.

Complete Question:

A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made more than $150 profit from mowing lawns in a 7-day week, what are the possible numbers of lawns the company could have mowed? Select two options. 12

37

54

61

80

The denominator of the fraction is -2x.

The correct answer is option (b)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"In a fraction, the value placed above the horizontal line."

"In a fraction, the value placed below the horizontal line."

For given question,

The axis of symmetry for a quadratic equation can be found using the formula [tex]x=-\frac{b}{2a}[/tex]

where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.

[tex]\Rightarrow x=\frac{-b}{2a}\\\\ \Rightarrow \frac{a}{x} \times x=\frac{-b}{2a}\times \frac{a}{x}\\\\\Rightarrow a=\frac{b}{-2x}[/tex]

For the fraction [tex]\frac{b}{-2x}[/tex] the numerator is b and denominator is -2x.

Therefore, the denominator of the fraction is -2x.

The correct answer is option (b)

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To find the reciprocal of 3.6, divide 1 by 3.6.

To find the reciprocal of 3.6, you divide 1 by 3.6. The reciprocal of a number is obtained by flipping the number. So, the reciprocal of 3.6 is

1/3.6

or approximately 0.2778.

Answer:

y=1.32x-0.0022[tex]x^{2}[/tex]

Step-by-step explanation:

Let the standard equation of parabola be y=a[tex]x^{2}[/tex]+bx+c ....... (1)

Let y be the altitude of the ball and x be the distance traveled by the ball.

Now by putting the points one by one, we get the required equation.

first point = (0,0)

golf ball travels a distance of 600 feet  along the ground. Therefore point = (600,0)

At altitude of 200, it travels the distance of 300 feet(mid point) = (300,200)

By putting y=0 and x=0 in (1),

we get c=0,

By putting y=0 and x=600 we get

0 = 360000a+600b ..............(2)

By putting y=200 and x=300, we get

200=90000a+300b ................(3)

Solving (2) and(3) we get, a=-0.0022 and b = 1.32

So the required equation is :

y= =0.0022[tex]x^{2}[/tex]+1.32x

Answer:

0.356

Step-by-step explanation:

Based on the batting averages denoted in the stemplot, the entry of 0.32|9 shows an occurrence of 0.329.

In a stemplot, the numbers that are stems are on the left side and will be the first numbers that should be denoted.

The numbers on the right are leaf numbers and come after the stem. This means that a stemplot showing 0.32|9 is a way of writing 0.329.

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The height of the flagpole is 12 feet.

To determine the height of the flagpole, we can use the Pythagorean theorem.

Using the Pythagorean theorem:

c² = a² + b²

Here, c = 20 feet (length of cable), a = 16 feet (distance from flagpole base to ground point), and h = b (height of the flagpole).

Therefore, we have:

202 = 162 + h²

400 = 256 + h²

To find h, subtract 256 from 400:

400 - 256 = h²

144 = h²

h = √144 = 12.

The answer is $112.86

Final answer:

Using algebra, we set up equations based on the information given: the number of student tickets is three times the number of adult tickets, and the total number of tickets is 376. Solving for the number of adult tickets, we find that 94 adult tickets were sold.

Explanation:

The question asks us to figure out how many adult tickets were sold for the school play when a total of 376 tickets were sold, and student tickets sold were three times the number of adult tickets.

Let's denote the number of adult tickets sold as A and the number of student tickets sold as S. According to the problem, S = 3A. We are also told that the total number of tickets sold is 376, so A + S = 376.

Substituting the first equation into the second one, we get A + 3A = 376. Simplifying this equation, 4A = 376. Dividing both sides by 4, A = 94. Therefore, 94 adult tickets were sold.

Final answer:

As per the values, 94 adult tickets were sold.

Explanation:

The question asks us to determine how many adult tickets were sold for a school play, given a total number of tickets and a ratio of student tickets to adult tickets.

To solve this problem, let's define adult tickets as x and student tickets as 3x, since there are three times as many student tickets as adult tickets.

The total tickets sold is 376, therefore the equation we need to solve is:

x + 3x = 376

Combining like terms, we get:

4x = 376

Dividing both sides by 4, we find that:

x = 94

Therefore, 94 adult tickets were sold.

Answer:

y=5x - 4.5

Step-by-step explanation:

I took the test

Answer: B

Step-by-step explanation:

on edg

Brandon can reach a point 300m downstream on the opposite side of the river in a minimum of 60 seconds by swimming diagonally across the river and then running the rest of the way.

In order to determine the minimum amount of time for Brandon to reach a point 300m downstream on the opposite side of a river, we can use the concept of relative velocities.

First, we need to find the velocity of the current. We can use the formula v = d/t, where v is the velocity, d is the distance, and t is the time.

The distance Brandon needs to cross the river is 50m, and he wants to reach a point 300m downstream, so the total distance he needs to travel horizontally is 50m + 300m = 350m.

Since the current is perpendicular to Brandon's swimming direction, it doesn't affect the time it takes for him to swim across the river. Therefore, we only need to consider his running speed.

The time it takes for Brandon to run the remaining distance of 300m is equal to the distance divided by his running speed, which is 300m / 5m/s = 60s.

So, the minimum amount of time for Brandon to reach the point 300m downstream is 60 seconds.

To find the minimum amount of time for Brandon to reach the point across the river, divide the problem into two components: swimming and running. Use the Pythagorean theorem to find the resultant velocity of Brandon's swimming motion. To find the total minimum time, add the swimming time and the running time.

To find the minimum amount of time for Brandon to reach the point across the river, we can use the concept of vector addition. Since the river is flowing downstream, Brandon needs to swim at an angle with respect to the direction of the river current. Let's break down the problem into two components: swimming and running.

Swimming:

Using the Pythagorean theorem, we can find the resultant velocity of Brandon's swimming motion. The width of the river is the base, the downstream distance is the height, and the resultant velocity is the hypotenuse. By substituting the given values, we can find the resultant velocity of Brandon's swimming motion as 5.12 m/s. This is the velocity he will need to swim at an angle to counteract the river current.

Running:

After crossing the river, Brandon needs to run the remaining distance of 300 m at a speed of 5 m/s. The time it takes to run this distance is 300 m / 5 m/s = 60 seconds.

To find the time it takes for Brandon to swim across the river, we can use the formula:

time = distance / velocity

. The distance is 50 m, and the velocity is 5.12 m/s. Therefore, the time it takes for Brandon to swim across the river is 50 m / 5.12 m/s = 9.77 seconds.

Finally, we can add the swimming time and the running time to find the total minimum time it takes for Brandon to reach the point across the river: 9.77 seconds + 60 seconds = 69.77 seconds.

Answer:aAPEX1

Step-by-step explanation: