Which set of fractions is ordered from greatest to least? 11/12, 7/10, 5/6

The service charges would be, $88

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Colin took out a loan with a principal of $32,800.

And, After five years, the interest and principal totaled $48,872.

Now,

The value of principal amount is,

⇒ 816 × 5 × 12 = 48960

Now, We get;

Amount of Colin pay in service charges is,

48960 - 48872= 88

Hence, The service charges were $88

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Answer:

New or current cost = 12 - 4.2 = $7.8

Step-by-step explanation:

Franco's Pizza is selling their pizzas 35% cheaper than usual. This is a discount on the normal cost. To get the amount it costs now, we will find the percentage of the discount on the original cost and subtract what we get from the original cost.

Discount = 35℅

Original cost of pizza is $12 (if a pizza normally cost $12).

So the discount in terms of dollars

= ℅ discount / 100 × normal cost of pizza

= 35 / 100 × 12 =0.35 × 12 = $4.2

New or current cost of pizza would be normal or original cost - the discount in dollars.

New or current cost = 12 - 4.2 = $7.8

The pizza is now $7.80.

If Franco's Pizza is selling their pizzas 35% cheaper than usual, we can calculate the new price by multiplying the original price by (1 - 0.35).

So, the new price of the pizza would be $12 * (1 - 0.35) = $7.80.

Therefore, the pizza is now $7.80.

Answer:

C) 65°

Step-by-step explanation:

G ∈ NE, so ∠TNG = ∠TNE. ∠ATE = 90° because a radius (AT) is always perpendicular to a tangent line (ET) at the tangent point (T). A ∈ TN, so ΔTNG is a right triangle, and angles NET and TNE are complementary. Then ...

... ∠NET = 90° - ∠TNG

... = 90° - 25°

... ∠NET = 65°

Answer:

-12

Step-by-step explanation: I Took K12 TEST

Answer:

4.5

Step-by-step explanation:

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was 140.41

Final answer:

The number of scores in the sample is 4.

Explanation:

The question provided asks us to determine the number of scores in the sample based on the z-score of +1.00, given a population with a mean (μ) of 50 and a standard deviation (σ) of 12.

The z-score formula for a sample is

z = (M - μ) / (σ / √n),

where

We are given that M = 56, z = 1, μ = 50, and σ = 12.

To find the sample size (n), we use the formula and rearrange to solve for n:

Therefore, the number of scores in the sample is 4.

The statement, "Isosceles triangle may be obtuse or acute but not right", is a false statement.

Isosceles triangles can be defined as triangles that have two sides (angles) having equal measures.

Obtuse triangles have at least one angle greater than 90°.

Acute triangles have all three angles less than 90°.

Right triangles have one of the angles 90°.

Consider a right triangle ABC.

So, one of the angles, let it be A, will be right.

So, m ∠A = 90°.

By the angle sum property of triangles,

90° + m∠B + m∠C = 180°

m∠B + m∠C = 90°

Let both angles are having equal measures, let it be x.

x + x = 90°

2x = 90°

x = 45°

So, each of the angles has a measure of 45°, and so is an isosceles triangle since the two angles are equal.

So, a right triangle can be isosceles.

Hence the statement is false.

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Answer: The correct option is second.

Explanation:

The given function is,

[tex]f(x)=5(0.8)^x[/tex]

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

[tex](x,y)\rightarrow(x,-y)[/tex]

The given given equation can be written as,

[tex]y=5(0.8)^x[/tex]

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

[tex]-y=-5(0.8)^x[/tex]

Because f(x)=y and g(x)=-y.

[tex]g(x)=-5(0.8)^x[/tex]

Therefore the second option is correct and the graph of both function is given below.

Answer:

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, [tex]f(x) = 5(0.8)^x[/tex].

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function [tex]f(x)[/tex] becomes [tex]-f(x)[/tex].

So, the reflection of [tex]f(x) = 5(0.8)^x[/tex] across x-axis will give the function [tex]f(x) = -5(0.8)^x[/tex]

So, we see that,

Option B i.e. [tex]g(x) = -5(0.8)^x[/tex] is correct.

The equation for the linear model in a scatter plot can be determined by selecting any two points closer to the line and utilizing them to find its slope and y-intercept. This information is then used to write the equation y = mx + b, where m is the slope and b is the y-intercept.

The question pertains to the equation of the linear model in a scatter plot which basically describes the best fit line passing through the points on the plot. In simple terms, in a scatter plot if you choose any two points closer to the line, we can use these to determine the equation of that line.

Suppose you have two points (x1, y1) and (x2, y2), where x represents the independent variable and y is the dependent variable. To find the slope (m) of the line, we use the formula: m = (y2 - y1) / (x2 - x1). Once the slope is determined, we proceed to find the y-intercept (b), which is the y-value where the line crosses the y-axis.

The general form of a linear equation is y = mx + b. Hence, using the values of slope and y-intecept obtained earlier, we can write the equation of our line. For example, in the equations given in the question, -1.5 and 1.5 are the slopes and 6 is the y-intercept.

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Answer: C

Step-by-step explanation:

Answer:

C. the image and pre-image are congruent.  

Step-by-step explanation:

a triangle is reflected across the line x=2

Check with each option

A. the image and pre-image have the same orientation.

The image will not be in same order

B. the image and pre-image have different sizes. the size will not change

C. the image and pre-image are congruent. the reflection will not change the size. so they are congruent

D. the image and pre-image are separated by a given angle.

The angles never change in reflection

1. Solve the given equation for y.

x - 5y = 15

-5y = -x + 15

y = (-x + 15)/-5

y = (x/5) - 3

y = (1/5)(x) - 3

The slope is 1/5. See it?

The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.

The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?

We have the slope of the new equation and one point is given.

Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.

y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)

y - 5 = -5(x - (-2))

y - 5 = -5(x + 2)

We now solve for y and that's it.

y - 5 = -5x - 10

y = -5x - 10 + 5

The equation we want is y = -5x - 5.

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The value of x is 17.

To find the value of x when (7x) and (2x+27) are the two angles made on a straight line, we can use the fact that the sum of the angles on a straight line is 180 degrees.

Let's set up an equation:

(7x) + (2x+27) = 180

First, we simplify the equation by combining like terms:

9x + 27 = 180

Next, we isolate the variable x by subtracting 27 from both sides of the equation:

9x = 180 - 27

9x = 153

Finally, we solve for x by dividing both sides of the equation by 9:

x = 153/9

Simplifying the division gives us:

x = 17

Therefore, the value of x is 17.

Complete question :-

Find the value of x, if (7x) and (2x+27) are the two angles made on a straight line?
A. 7
B. 49
C. 61
D. 17

So, the value of x is not one of the given options A, B, C, or D.

To find the value of x in the expression (7x)(2x+27), we need to simplify the expression and solve for x.

Step 1: Distribute the 7x to both terms inside the parentheses:

(7x)(2x+27) = 14x^2 + 189x

Step 2: Set the expression equal to 0 and factor out common terms, if possible:

14x^2 + 189x = 0

Step 3: Factor out x:

x(14x + 189) = 0

Step 4: Set each factor equal to 0 and solve for x:

x = 0 (from the first factor)

14x + 189 = 0

14x = -189

x = -189/14

So, the value of x is not one of the given options A, B, C, or D.

In 5 minutes, the car will travel 6 kilometers.

To convert the car's speed from kilometers per hour to kilometers per minute, we need to divide the given rate by the number of minutes in an hour, which is 60. So, for a car traveling at 72 kilometers per hour, the rate in kilometers per minute is:

72 km/hr / 60 = 1.2 kilometers per minute.

Now, to calculate how many kilometers the car will travel in 5 minutes, we simply multiply the rate in kilometers per minute by the number of minutes:

1.2 km/min * 5 min = 6 kilometers.

Therefore, the car will travel 6 kilometers in 5 minutes at the rate of 72 kilometers per hour.