Please help!! What is the equation of a line in point slope form that passes through (1,-7)

The total number of students who plays brass instruments are 12 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of students in the Carter School Band = 30 students

From the figure we can see that ,

Number of students who plays percussion = 1/3 of number of students

Number of students who plays woodwind = 4/15 of number of students

Number of students who plays brass = 2/5 of total number of students

So , the equation will be

Number of students who plays brass B = 2/5 of total number of students

Substituting the values in the equation , we get

Number of students who plays brass B = ( 2/5 ) x 30

Number of students who plays brass B = 2 x 6

Number of students who plays brass B = 12 students

Therefore , the value of B is 12 students

Hence ,

The total number of students who plays brass instruments are 12 students

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$9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

It is given that:

A deli sells a sandwich spread for $6.40 per pound.

$6.40 --> 1 pound

16 ounces = 1 pound

24 = x pound

x = 1.5 pound

$y ---> 1.5 pound

y = 1.5(6.40)

y = $9.6

Thus, $9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.

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To find the cost for 24 ounces of sandwich spread at $6.40 per pound, convert ounces to pounds (24 oz to 1.5 pounds) and then multiply by the price per pound, resulting in a total cost of $9.60.

To determine how much you would have to pay for 24 ounces of sandwich spread at $6.40 per pound, first, you need to convert the weight from ounces to pounds. Since there are 16 ounces in 1 pound, you would perform the following calculation:

24 ounces / 16 ounces per pound = 1.5 pounds.

Next, to find the cost, multiply the number of pounds by the price per pound:

1.5 pounds x $6.40 per pound = $9.60.

Therefore, you would have to pay $9.60 for 24 ounces of the sandwich spread.

The equation which represents the 73% of 215 is n = 0.73 x 215. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 73% of the number 215. The number will be calculated by the equation below,

n = 0.73 x 215

n = 156.95

Therefore, the equation which represents 73% of 215 is n = 0.73 x 215. The correct option is B.

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Let

x---------> the number

The equation that represent this situation is

[tex]x=10+9[/tex]

[tex]x=19[/tex]

therefore

the answer is

The number is [tex]19[/tex]

The difference in the cars' graphs would depend on their respective miles per gallon ratings. A higher MPG results in a steeper line on the graph, reflecting better fuel efficiency. Therefore, the MPG rate and equivalent ratios for each car determine the graph's slope, indicating their difference in gas usage.

The difference in graph layout would be based on the cars' fuel efficiency, i.e., miles per gallon (MPG). Ellen's car has an MPG of 35. This means that for every gallon of gas, Ellen's car can travel 35 miles. If we graph this, it would be a straight line graph, showing a constant ratio of 35 miles to 1 gallon of gas.

On the other hand, if Luis's car has a different fuel efficiency, the ratio represented on the graph would change accordingly. For instance, if Luis's car has an MPG of 20, then his car's graph would be less steep than Ellen's because his car consumes more gasoline for the same distance. Alternatively, if his car gets 40 MPG, then Luis's car's graph would be steeper than Ellen's, as his car travels further on the same amount of gas.

So, equivalent ratios and gas usage relate directly to the MPG rate of each car. Thus, the MPG rate ultimately determines the slope of each car's graph, showing how they differ in terms of gas usage for equivalent distances travelled.

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Answer: $20.00

Step-by-step explanation:

To perform the partial-quotients algorithm, follow these steps:

1. Determine the largest multiple of the divisor that fits into the dividend without exceeding it. This multiple becomes the partial quotient.

2. Multiply the divisor by the partial quotient and write the product below the dividend.

3. Subtract the product from the dividend to find the remainder.

4. Bring down the next digit of the dividend (if there is one) to the right of the remainder, forming a new dividend.

5. Repeat steps 1-4 until there are no more digits to bring down or the remainder is less than the divisor.

6. The sum of the partial quotients is the quotient, and the final remainder is the remainder of the division.

Let's apply these steps to an example division: dividing 154 by 3.

1. The largest multiple of 3 that fits into 15 is 15 (5 groups of 3), so the first partial quotient is 5.

2. Multiply 3 by 5 to get 15, and write it below the 15 in the dividend.

3. Subtract 15 from 15 to get a remainder of 0.

4. Bring down the next digit, 4, to get a new dividend of 04.

5. The largest multiple of 3 that fits into 4 is 3 (1 group of 3), so the second partial quotient is 1.

6. Multiply 3 by 1 to get 3, and write it below the 4 in the dividend.

7. Subtract 3 from 4 to get a final remainder of 1.

The quotient is the sum of the partial quotients, which is 5 + 1 = 6, and the remainder is 1. So, 154 divided by 3 is 6 with a remainder of 1.

The partial-quotients algorithm is particularly useful for dividing large numbers because it breaks down the division into more manageable parts. It also helps with understanding the concept of division as a process of repeated subtraction.

Answer:

the correct answer in ''B''

Step-by-step explanation:

Final answer:

The cone-shaped filter with a diameter of 3 inches and a height of 4 inches can hold 3π inches³ of liquid without overflowing, which corresponds to choice B.

Explanation:

To find how much liquid can be held in a cone-shaped filter without overflowing, we use the formula for the volume of a cone, V = πr²h/3, where r is the radius, h is the height, and π (pi) is approximately 3.14. Given that the diameter of the cone is 3 inches, the radius (r) would be half of that, which is 1.5 inches. The height (h) is given as 4 inches. Plugging these values into the formula gives us:

V = π(1.5²)(4)/3 = π(2.25)(4)/3 = π(9)/3 = 3π inches³

Therefore, the cone-shaped filter can hold 3π inches³ of liquid without overflowing, which corresponds to choice B.

Final answer:

Each side of Benjamin's equilateral triangle fence is 12 feet in length. This is calculated by dividing the total perimeter of 36 feet by the number of sides, which is three.

Explanation:

Since Benjamin's fence forms an equilateral triangle with equal sides, the length of each side can be easily calculated by dividing the perimeter by the number of sides. The perimeter of the triangle is given as 36 feet. Since a triangle has three sides, we simply divide the perimeter by 3 to find the length of each side.

To calculate: 36 feet (total perimeter) ÷ 3 sides = 12 feet per side.

Therefore, each side of Benjamin's equilateral triangle fence measures 12 feet in length.

Answer:

Step-by-step explanation:

The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour. 

d= 12.5 x t 

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

25miles÷2hours=12.5mileshour

A direct proportionality will always result in an equation that resembles this:

y=kx

where y and x are the related quantities and k is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)

Answer:

Ф Well all you need to do to write the linear equation for this function. I assume you want to know, is that you must obtain 2 points, and calculate the slope, then place the info within the following form.

Y = mx + b

1 of the points has to be the y intercept, which can be obtained from the graph, and the other, any other point, which can also be the X intercept.

So, X intercept - (2,0)

Y intercept - (0,3).

Slope = y/X = 3-0/0-2

Slope = 3/-2 or -3/2.

Now put everything together in form:

Y = mx + b

Y = -3/2x + 3.

I believe this is the solution.