What is the slope of the line that passes through the points (−2,2) and (−4,−1)? Write your answer in simplest form.

Answer:

9

Step-by-step explanation:

15 / 5/3 = 15 x 3/5=9

Because a negative numebr divided by a negative number is always positive.

Answer:

9

Step-by-step explanation:

Answer:

$245

Step-by-step explanation:

x = original price

171.50 = 0.7x

x = 171.50/0.7 = 245

Answer:

$245.00

Step-by-step explanation:

If the store is giving a 30% discount, that means you have to pay 100-30 = 70 or 70% of the original price

Let c = the original price

c* 70% = 171.50

c * .70 = 171.50

Divide each side by .7

c = 171.50/.7

c = 245

The original price is 245 dollars

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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Answer:

No

Step-by-step explanation:

You can if you want, but there is a total of 6 on the dice. And there are 3 odds. Each odd you role you gain 10 cents, but each time a student roles a even they also get 10 cents. So you will get paid and in a game of chance and gambling. You won't gain anything if ALL of the students are together and going against you. Its like 1 vs 25 and you would have to pay a lot of students at one time to play this game. So logically no, because you won't gain money. But also you could if you always get odds, but again. That's a 3/6 or 1/2 each time you role to get a odd number.

Hope that helped, or even made sense xD

The simplified form of the given expression as a fraction is 7x/x-7

Fractions  are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the expression below;

(1/7+1/x)/(1/49+1/x²)

Find the LCM to have:

(x+7/7x)/(x²-49)/49x²

Divide to have:

x+7/7x * 49x²/(x²-49)

(x+7) * 7x/(x+7)(x-7)

Cancel out the like terms to have:

1 * 7x/x-7

= 7x/x-7

Hence the simplified form of the given expression as a fraction is 7x/x-7

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Answer:

A

Step-by-step explanation:

addition is commutative

Answer:

240

Step-by-step explanation:

You have to find the area of each indivigual side and then add all the areas together. So like 9x5 is 45 so you take 45 and multiply it by 4 since there are 4 sides identical to that side and then you get 180. Then you multiply 6x5 and that gives you 30 which you then multiply by 60, so then all you gotta do is 60+180=240.

The ordered pairs are;

A (2, 4)

B ( -1, 2 ) ,

C (-3, -2) ,

D (2, 0) ,

E ( 0, -4 )

F ( 5, -4 )

What is Coordinate?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, To find ordered pairs we can count the number of intervals on horizontal and vertical lines.

Horizontal line gives the coordinate of x - axis and vertical line gives the coordinate of y - axis.

So, To find ordered pairs as;

We start at the origin ( where the axis cross).

The point A move 2 units to the right and 4 units up.

So, The ordered pair of A is;

⇒ A (2, 4)

The point B move 1 units to the left and 2 units up.

So, The ordered pair of B is;

B ( -1, 2 ) ,

The point C move 3 units to the left and 2 units down.

So, The ordered pair of C is;

C (-3, -2) ,

The point D move 2 units to the right and on x - axis.

So, The ordered pair of D is;

D (2, 0) ,

The point E on y- axis and move 4 down.

So, The ordered pair of E is;

E ( 0, -4 )

The point F move 5 units to the right and 4 units down.

So, The ordered pair of F is;

F ( 5, -4 )

Therefore, The ordered pairs are;

A = (2, 4)

B = ( -1, 2 ) ,

C = (-3, -2) ,

D = (2, 0) ,

E = ( 0, -4 )

F = ( 5, -4 )

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Answer:

It will take 41.7 years for this investment to triple in value.

Step-by-step explanation:

Here is the formula for simple interest

\(A=P(1+rt)\)

Lets solve for \(t\).

Divide both sides by \(P\).

\(\frac{A}{P}=rt+1\)

Subtract 1 from both sides.

\(\frac{A}{P}-1=rt\)

Divide both sides by \(r\).

\(\frac{\frac{A}{P}-1}{r} =t\)

To write \(-1\) as a fraction with a common denominator, multiply by \(\frac{P}{P}\) .

\(\frac{\frac{A}{P}-1*\frac{P}{P}}{r} =t\)

\(\frac{\frac{A}{P}*\frac{-P}{P}}{r} =t\)

Combine the numerators over the common denominator.

\(\frac{\frac{A-P}{P} }{r} =t\)

Multiply the numerator by the reciprocal of the denominator.

\(t=\frac{A-P}{Pr}\)

We are given

\(P=3800\\r=0.048\)

We need to find what amount is triple his money.

\(3800*3=11400\)

\(A=11400\)

Substitute our numbers into the equation for \(t\).

\(t=\frac{11400-3800}{3800*0.048}\)

Factor 3800 out of 11400.

\(t=\frac{3800*3-3800}{3800*0.048}\)

Factor 3800 out of −3800.

\(t=\frac{3800*3-3800*-1}{3800*0.048}\)

Factor 3800 out of \(3800*3-3800*-1\).

\(t=\frac{3800*(3-1)}{3800*0.048}\)

Cancel the common factor of 3800.

\(t=\frac{3-1}{0.048}\)

Simplify.

\(t=\frac{2}{0.048}\)

\(t=41.666\)

Merry Christmas!

Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

The standard form of the equation of the circle is:

(x + 2)² + (y - 6)² = 12.96

In this question, we have been given the endpoints of a diameter at the points(1,8) and (-5,4)

The center of the circle is the midpoint of the diameter.

Let (p, q) be the midpoint of the diameter.

i.e., (p, q) is the center of the circle.

Using midpoint formula,

(p, q) = ((1 - 5)/2, (8 + 4)/2)

(p, q) = (-4/2, 12/2)

(p, q) = (-2, 6)

Now using distance formula we find the length of the diameter of the circle.

d = √[(-5 - 1)² + (4 - 8)²]

d = √[(-6)² + (-4)²]

d = √36 + 16

d = √52

d = 7.2 units

So, the radius of the circle would be,

r = d/2

r = 7.2 / 2

r = 3.6 units

So, the equation of the circle would be,

(x - p)² + (y - q)² = r²

(x - (-2))² + (y - 6)² = (3.6)²

(x + 2)² + (y - 6)² = 12.96

Therefore, the standard form of the equation of the circle is:

(x + 2)² + (y - 6)² = 12.96

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The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

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Answer:

The area of a rectangle is given by the formula A = L x W where A is the area, L is the length, and W is the width.

To find how fast the area of the rectangle is increasing, we need to differentiate the formula for A with respect to time t:

dA/dt = d/dt(L x W)

Using the product rule of differentiation, we get:

dA/dt = dL/dt x W + L x dW/dt

Given that dL/dt = 5 cm/s, dW/dt = 4 cm/s, L = 9 cm, and W = 6 cm, we can substitute these values in the above formula to get the rate at which the area of the rectangle is increasing:

dA/dt = (5 cm/s) x (6 cm) + (9 cm) x (4 cm/s)

dA/dt = 30 cm^2/s + 36 cm^2/s

dA/dt = 66 cm^2/s

Therefore, the area of the rectangle is increasing at a rate of 66 cm^2/s when the length is 9 cm and the width is 6 cm.

Answer:

The percent markup is: 9.0%

SOLUTION

Problem Statement

The question tells us a boat dealer bought a sailboat for $13,400 and sold it for $14600. We are asked to find the percent markup on the boat.

Method

In order to solve this question, we need to understand the meaning of percentage markup.

Definition:

A percentage markup is a profit from selling a good or service, which is a percentage of the cost.

Thus, the selling price of a sailboat is equal to the cost price of the sailboat plus a percentage of the cost price (i.e. markup)

Implementation

Thus, we can find the markup using the formula given above.

Thus, the markup percentage is gotten by just multiplying the value of X by 100 %

Percent Markup is:

Final Answer

The percent markup is: 9.0%

Answer:

Y=-4x 2

Step-by-step explanation:

9514 1404 393

Answer:

  x = 30°

Step-by-step explanation:

The lines will be parallel if and only if the sum of the marked angles is 180°:

  4x +2x = 180°

  6x = 180° . . . . . collect terms

  x = 30° . . . . . . . divide by 6

Answer:

56.42

Step-by-step explanation:

Look at the words. Fifty six and forty two hundredths.

                                 5      6     .      4      2

The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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Answer: The answer is 152!

Step-by-step explanation:

Lets let x represent the total population of fish in the pond. The ratio of tagged fish to the total fish population is therefore 24 : x

Assuming this ratio of "tagged to total" will be found for whatever number of fish get caught would mean that the ratio of "tagged to total" in the catch is the same as the ratio of "tagged to total" for the pond.

We can solve this type of problem with a proportion: Substituting in the numbers we get: Solving proportions such as these involves cross-multiplication 3x = (19)(24) After dividing both sides by 3 to isolate x we see that x = 152 

Hope this helps, Anabel! :)

Answer:

D

Step-by-step explanation:

Chord, target, and diameter would be shown with lines! hope this helps. :)

Answer:

It represents the centre of the circle. at the centre/ middle of the circle.

chord - a straight line joining two points in a circle.

tangent - the line that touches the circle at only one point.

diameter - a straight line that touched on point of circumference to another point.

centre - refers to the middle portion of the circle.

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

33 candies in each bag but there's 1 bag with 34 candies

Answer:

33 and 34 in 1

Step-by-step explanation:

The sum must be greater than the longest side, not equal to it. The shorter two sides cannot angle up to form a triangle if they are precisely the same. When the sum of the two shortest sides equals the length of the longest side, it does not work.

The Triangle Inequality Theorem is simply a more formal way of expressing what we have just observed.

We discovered that the two short sides, which represent the sum of the two shortest sides, must be longer than the longest side in order for the theorem to hold.

The Triangle Inequality Theorem can be expressed in a variety of ways. It can also be said that any two sides of a triangle must have lengths that are greater than the length of the third side. The two shortest sides must be longer than the longest side when they are joined end to end in order for them to be able to tilt up to create a triangle.

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Answer: 1.3

Step-by-step explanation:

If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer

Answer:

3/7

Step-by-step explanation:

So, we have to flip 5/3 to 3/5

Then we multiply.

5/7 ⋅ 3/5

15/35

Simplify.

3/7

Hope I helped :)

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Answer:

35 gallons

Step-by-step explanation:

one week = 7 days

5 gallons per day

one week = 7 days * 5 gallons

= 35 gallons in a week

The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.

1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.

2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.

3. To find the maximum height, we need to determine the vertex of the parabolic equation.

4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).

5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).

6. Simplifying the expression, we find x = 4.44.

7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.

8. Evaluating the expression, we find y ≈ 4.32.

9. The maximum height of the tent is approximately 4.32 feet.

10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.

11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.

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