Please help me!
The basketball team of Martin Luther King High School won 12 of its first 15 games. Then it won its next 3 games. The percent of winning games was:
(A) 80% (B) 75% (C) 60% (D) 83 1/3 % (E) 78%

The loan with the lower balance would be C. The Stafford loan will have a lower balance by $274.54 at the time of repayment.

Find the balance on the Stafford loan :

A = P ( 1 + r/ n ) ^ ( nt )

A = 10, 720 ( 1 + 0. 0595 / 12 ) ^ ( 12 x 1.5 )

= $ 11, 718. 52

The balance at graduation for the PLUS Loan would be $ 11, 443. 63.

The difference would be:

= 11, 718. 52 -  11, 443. 63

= $ 274. 89

The Stafford loan will have a lower balance by $274.54 at the time of repayment.

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Answer:

mean: 3.5

standard deviation: 3

median: 3.5

IQR: 3

Step-by-step explanation:

I mean all you gotta do is look at the table that is shown and since the graph is symmetrical the median and mean would be at the center and the standard deviation is basically how far away most of the data points is going to be from the center and the IQR is easy you get the Q1 and Q3 then subtract then and you get 3. So ya.

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

Slope intercept form is y = mx + b

Step-by-step explanation:

Your welcome

Answer:

2. The company's profit from selling their product for $6 per unit is $120.

Step-by-step explanation:

If we graph this function on a 2-axis plane such that the horizontal axis (x) represents \(s\), or the product's price per unit and the vertical axis (y) represents \(p(s)\), or the profit made by selling the product at \(s\) dollars, we'll find that the \(p\)-coordinate of the point where \(s=6\) is 120. Hence, $120 profit will be made if the product is sold at $6 per unit.

See the attached image for a graph.

In linear equation, 60 hours does she spend on running in 30 days .

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

                              The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

she runs =  12 miles

she take time to runs a mile  = 10 min.

 total time she take = 12 *   10  = 120 min.

  if she spend on running in 30 days =  120 * 30

                                                 = 3600 min

                                        1 hours = 60 min.

                                       3600 min  =  3600/60 ⇒ 60 hours

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The area of the composite figure is 242in² as per the given information in the figure.

Rectangulus, a combination of the Latin words rectus (as an adjective, right, appropriate), and angulus, is where we get the word rectangle (angle).

A crossed rectangle is a crossed (self-intersecting) quadrilateral made up of two opposing sides and the two diagonals of a rectangle[4] (therefore only two sides are parallel). It is a specific case of an antiparallelogram with angles that are not all equal and right angles, even though opposite angles are. Other geometries, including spherical, elliptic, and hyperbolic,  with opposite sides of equal length and equal angles that are not right angles.

Area =Area of the down rectangle+ Area of the up rectangle+2×Area of the triangle

Area= (7×24)+(4×13)+2×(1/2)×b×4

Let, 13+2x=24

Here, x=b

So, 2b=11

b=11/2

Area= 168+52+4(11/2)

Area=168+52+22

Area=242in²

Therefore, the area of the composite figure is 242in².

So, option C is correct.

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Answer:

22 degrees

Step-by-step explanation:

Answer:jhhhh

Step-by-step explanation:g by ggh

Answer:

I will assume that is 19 2/5 INCHES.

Step-by-step explanation:

Answer: 152 I think

Step-by-step explanation:

a. The standard equation of the ellipse with foci at (8, -1) and (-2, -1), and a length of the major axis of 12 units is: ((x - 5)² / 6²) + ((y + 1)² / b²) = 1.

b. The standard equation of the ellipse with vertices at (-5, 12) and (-5, 2), and a length of the minor axis of 8 units is: ((x + 5)² / a²) + ((y - 7)² / 4²) = 1.

c. The standard equation of the ellipse with a center at (-4, 1), a vertex at (-4, 10), and a focus at (-4, 9) is: ((x + 4)² / b²) + ((y - 1)² / 9²) = 1.

a. To determine the standard equation of the ellipse with foci at (8, -1) and (-2, -1), and a length of the major axis of 12 units, we can start by finding the distance between the foci, which is equal to the length of the major axis.

Distance between the foci = 12 units

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

√((x₂ - x₁)² + (y₂ - y₁)²)

Using this formula, we can calculate the distance between the foci:

√((8 - (-2))² + (-1 - (-1))²) = √(10²) = 10 units

Since the distance between the foci is equal to the length of the major axis, we can conclude that the major axis of the ellipse lies along the x-axis.

The center of the ellipse is the midpoint between the foci, which is (5, -1).

The equation of an ellipse with a center at (h, k), a major axis of length 2a along the x-axis, and a minor axis of length 2b along the y-axis is:

((x - h)² / a²) + ((y - k)² / b²) = 1

In this case, the center is (5, -1) and the major axis is 12 units, so a = 12/2 = 6.

Therefore, the equation of the ellipse in standard form is:

((x - 5)² / 6²) + ((y + 1)² / b²) = 1

b. To determine the standard equation of the ellipse with vertices at (-5, 12) and (-5, 2), and a length of the minor axis of 8 units, we can start by finding the distance between the vertices, which is equal to the length of the minor axis.

Distance between the vertices = 8 units

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

√((x₂ - x₁)² + (y₂ - y₁)²)

Using this formula, we can calculate the distance between the vertices:

√((-5 - (-5))² + (12 - 2)²) = √(0² + 10²) = 10 units

Since the distance between the vertices is equal to the length of the minor axis, we can conclude that the minor axis of the ellipse lies along the y-axis.

The center of the ellipse is the midpoint between the vertices, which is (-5, 7).

The equation of an ellipse with a center at (h, k), a major axis of length 2a along the x-axis, and a minor axis of length 2b along the y-axis is:

((x - h)² / a²) + ((y - k)² / b²) = 1

In this case, the center is (-5, 7) and the minor axis is 8 units, so b = 8/2 = 4.

Therefore, the equation of the ellipse in standard form is:

((x + 5)² / a²) + ((y - 7)² / 4²) = 1

c. To determine the standard equation of the ellipse with a center at (-4, 1), a vertex at (-4, 10), and a focus at (-4, 9), we can observe that the major axis of the ellipse is vertical, along the y-axis.

The distance between the center and the vertex gives us the value of a, which is the distance from the center to either focus.

a = 10 - 1 = 9 units

The distance between the center and the focus gives us the value of c, which is the distance from the center to either focus.

c = 9 - 1 = 8 units

The equation of an ellipse with a center at (h, k), a major axis of length 2a along the y-axis, and a distance c from the center to either focus is:

((x - h)² / b²) + ((y - k)² / a²) = 1

In this case, the center is (-4, 1), so h = -4 and k = 1.

Therefore, the equation of the ellipse in standard form is:

((x + 4)² / b²) + ((y - 1)² / 9²) = 1

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Answer:

120 / (x+y) = 8

Step-by-step explanation:

120 / (x+y)

= 120 / (3+12)

= 120/15

= 8

Answer:

45%

Step-by-step explanation:

Answer:

linear and positive profit

Step-by-step explanation:

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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The linear equation for the graph representing Gemma's salary indicates;

Gemma earns more per hour than Stacie

A linear equation is an equation of the form y = m·x + c, where; m is the slope and c is the y-intercept.

The coordinates of points on the possible graph representing Gemma's total salary, obtained from a similar question online are;

(0, 250), (50, 1000), (100, 1750), (150, 2500)

The above coordinate for the points on the graph of Gemma's salary indicates that the equation representing Gemma's salary is; y  - 250 = ((1000 - 250)/(50 - 0)) × x

y = 15·x + 250

The above linear equation indicates that Gemma earns more per hour than Stacie

The possible possible question includes;

Which of these statement is true

Gemma earns more per hour than stacie

Stacie earns more than Gemma

The amount Stacie earns per season is the same amount Gemma earns per season

The amount Stacie earns per hour is the same as the amount Gemma earns per hour

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The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

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radius : 3.95 ft

\(\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h\)

\(\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147\)

\(\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}\)

\(\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}\)

\(\hookrightarrow \sf r = 3.95 \ ft\)

Answer:

B=28

Step-by-step explanation:

In this problem, we are going to write and solve a system of equations based on a real world situation.

Last week, she did 1 load of laundry and 8 loads of dishes, and her parents paid her $26. The week before, she finished 3 loads of laundry and 8 loads of dishes, earning a total of $30.

To begin, we need to create variables for the unknown cost of each chore.

Let x represent laundry, and let y represent dishes.

From the first equation, we can write the equation:

We can write the second equation as:

Together, we have the system:

Multiply the first equation by -1, then add it to the second equation:

We can divide the remaining equation by 2 on both sides:

Lada made $2 per load of laundry.

We can use the value of x in the first equation to find the value of y. Substitute x = 2:

Subtract 2 from both sides:

Divide by 8 on both sides:

Lada made $3 per load of dishes.

Let's write the likelihood of a promotion as P(promotion) and the likelihood of a rise as P(raise). The following details are sent to us:

P (promotion) = 0,40 P (promotion or raise) 0,72 P (promotion and raise) 0,25The inclusion-exclusion concept can be used to calculate the likelihood of receiving a rise. This rule states that the probability of two events (A or B) coming together is equal to the sum of each event's individual probabilities less the likelihood that A and B will come together.

P(promotion or raise) equals P(promotion) + P(raise) – P(promotion andraise).

By substituting the specified values, we obtain:

0.7 = 0.40 + P (b) - 0.25

We can rewrite the equation to isolate P(raise) as follows:P(raise) = 0.72-0.40+0.25

P(rise) = 0.57

The likelihood of receiving a rise is therefore 0.57, or 57%.

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Last option is the correct answer

Answer:

ASA Postulate

Step-by-step explanation:

\( In\: \triangle TKS\: \& \: \triangle TLR\\

\angle 1 \cong \angle 2....(given) \\

TK \cong TL... (given) \\

\angle 3 \cong \angle 4....(given) \\

\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\\)

Answer:

First option is the correct choice.

Step-by-step explanation:

AAS theorem applies here to prove the claim.

Best Regards!

Answer:

x = y(z + 3r)

Step-by-step explanation:

Given

z = \(\frac{x}{y}\) - 3r ( add 3r to both sides )

z + 3r = \(\frac{x}{y}\) ( multiply both sides by y )

y(z + 3r) = x

Answer:

Today: Tuesday, 12th January 2021

21.09 PM

\( \tt z = \frac{x}{y} - 3r\)

\( \tt z + 3r = \frac{x}{y} \)

\( \tt y(z + 3r) = x\)

\({\orange{\boxed{ \tt \red{x = y(z - 3r)}}}}\)

Answer:

3 years

Step-by-step explanation:

I assume it's simple interest.

I = Prt

132 = 800 * 0.055 * t

t = 132/(800 * 0.055)

t = 132/44

t = 3

Answer: 3 years

By evaluating the function, we conclude that f(10) = -7

Here we know that:

g(x) = 2x - 8

And f(x) = 5 - g(x).

Then we can write:

f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13

Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.

f(10) = -2*10 + 13 = -20 + 13 = -7

Then, we conclude that f(10) = 7

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Answer:

E

Step-by-step explanation:

24 is 4 in the ratio so 24÷4 gives 6 and 5x6 is 30 so the hypotenuse is 30 inches

On solving the provided question, we can say that by  linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that is formed is  

10p +7 (10 - p) = 80

10p + 70 - 7p = 80

3p = 70

p = 10/3

10/3 pounds of peanuts and how many pounds of raisins should you use

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The discriminant is a mathematical tool used to determine the number of solutions of a quadratic equation.

The discriminant is calculated using the formula Δ = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0. Once the discriminant is obtained, it can be used to determine the number of solutions based on its value.

1. If Δ > 0: The quadratic equation has two distinct real solutions. This means the equation intersects the x-axis at two different points.

2. If Δ = 0: The quadratic equation has one repeated real solution. This means the equation intersects the x-axis at a single point.

3. If Δ < 0: The quadratic equation has no real solutions. This means the equation does not intersect the x-axis and has complex solutions.

By utilizing the discriminant, a calculator or a person can quickly determine the number and nature of solutions for a quadratic equation without explicitly solving for the roots.

This information is useful in various mathematical and real-life applications, such as determining the points of intersection, analyzing the behavior of a system, or understanding the geometry of a quadratic function.

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Complete Question

What is discriminant in maths?