A hardware store offers customers a coupon for $25 off.

The regular price of a ladder is $250.

If a customer uses the coupon, what percent will the customer save?

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:900

Step-by-step explanation: 1. set up an equation

x= (p * n)/100 when x= the answer p= the percentage and n= the total number

2. plug in the numbers

x= (30 * 3000)/100

3.solve

x= (30*3000)/100

x= (90000)/100

x= 900

Answer:

  73 pages

Step-by-step explanation:

You want the number of pages required to hold 583 cards when each page will hold 8.

The number of pages required is ...

  (583 cards)/(8 cards/page) = 72 7/8 pages

The least integer greater than this number is 73

The number of pages needed to store 583 cards is 73.

Answer:the answer should be (1,5)

Step-by-step explanation:

The blue curve represents y = x³ and the red curve represents y = -x³.in the attached image.

What are the quadrants?

The quadrant refers to one of the four regions in a two-dimensional coordinate system, formed by two perpendicular lines that intersect at their common origin, or point of intersection.

a graph of y = x³ and y = -x³ on the same axes:

We can see the graph of equations y = x³ and y = -x³ in the attached image.

The blue curve represents y = x³ and the red curve represents y = -x³.

They are symmetric about the origin, and the blue curve is in the first and third quadrants while the red curve is in the second and fourth quadrants.

Hence, The blue curve represents y = x³ and the red curve represents y = -x³.in the attached image.

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Answer:

It takes Garret 15 mins to remove one ft of hem.

(cause 4" for 5 mins x 3 = 12" for 15 mins)

He should multiply the number of minutes by 5 to determine the number of minutes to remove 5 ft of hem.

(15 x 5 = 75)

It will take 75 mins to remove 5 ft of hem.

Step-by-step explanation:

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

<95141404393>

In linear equation, 4.125 feet tall is tibors sisters.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion

5.5/7 = x/5.25 and cross multiply to find x.

5.5 × 5.25 = 7 * x

28.875 = 7x

   x = 28.875/7

   x =  4.125

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Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

We have proved that the ray FE is parallel to the ray GC.

What is meant by parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

Angle DEF intersects at B

which results in angle DEF corresponding to the angle  ACG.

As DEF = 45 so angle ACG = 45

So by the above discussion, we can say that the ray FE is parallel to the ray GC.

Hence, we have proved that the ray FE is parallel to the ray GC.

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Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

The statement "25 = 14" is clearly false, so Kermit's solution of x = 5 is not correct. Therefore, Kermit made a mistake in solving the equation.

What is the equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

To check if Kermit's solution is correct, we can substitute x = 5 back into the original equation and see if it makes a true statement:

5(x - 4) + 20 = 14

5(5 - 4) + 20 = 14

5(1) + 20 = 14

25 ≠ 14

Hence, The statement "25 = 14" is clearly false, so Kermit's solution of x = 5 is not correct. Therefore, Kermit made a mistake in solving the equation.

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9514 1404 393

Answer:

  19.3 g/cm³

Step-by-step explanation:

There are 2.54 cm in one inch, so the weight of 1 cm³ is ...

   (316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³

Answer:

yes

Step-by-step explanation:

f the exterior angle of a polygon is given, then the formula to find the interior angle is Interior Angle of a polygon = 180° – Exterior angle of a polygon Method 3: If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides

Answer:

C x<4

Step-by-step explanation:

get x by itself

-x>3-7

-x>-4

dividing by a negative number with inequalities means you have to flip the sign

x<4

Answer:

you copied the other line

Step-by-step explanation:

you drew over the other line and it should be exact

Answer:

Hope this helps ! (OwO)/

Step-by-step explanation:

A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ

Step-by-step explanation:

\( = {(4ab)}^{3} \)

\( = {4}^{3} \times {a}^{3} {b}^{3} \)

\( = 64 {a}^{3} {b}^{3} \)

Answer:

\(\huge\boxed{\sf x =5 \ \ \ OR \ \ \ x = 1}\)

Step-by-step explanation:

\(x^2-6x+5=0\)

\(x^2-5x-x+5=0\\\\Take \ common\\\\x(x-5)-1(x-5)=0\\\\Take \ (x-5) \ common\\\\(x-5)(x-1)=0\)

Either,

x - 5 = 0         OR         x - 1 = 0

\(\rule[225]{225}{2}\)

Answer:

probably 200

Step-by-step explanation:

or something like that

Answer: Fourth answer choice

c+a+s = 4000

10c+12a+8s = 37000

4a = s

==========================================

Explanation:

The first equation

c+a+s = 4000

is fairly straightforward. We add the individual counts of children (c), adults (a) and seniors (s) to get the total number of people (4000) who attended

-------------

If 1 child ticket costs $10, then 2 of them cost 20, and so on. If we don't know how many children there are, then we say 10c is the total cost for just the children alone. The c is a placeholder for some number.

Similarly, 12a represents the total cost for just the adults since 1 adult pays $12

8s is the total cost for all the seniors only

10c+12a+8s is the total cost of everyone and this total cost is 37000 dollars

The second equation is therefore

10c+12a+8s = 37000

----------------

We're told that "There were 4 times more seniors than adults at the movie theater" meaning

number of seniors = 4*(number of adults)

s = 4a

which is the same as 4a = s since we can flip both sides. So this is the third equation of our system.

------------------

We found these three equations

c+a+s = 4000

10c+12a+8s = 37000

4a = s

Answer: a

Step-by-step explanation:

Let f(t) be 51000+ (2100)t which represent Chelsea's salary at Company A and g(t) be 45000(1.041)t which Chelsea salary at Company B.

Chelsea's offer from company A includes a raise of $2100 annually and a starting salary of $45,000.

Since the increase is constant, the salary of Chelsea from Company A is a linear function, as can be seen here.

f(t) is salary of chelsea from company A after t years.

f(t) = 45000+ (2100)t

The offer made to Chelsea by company B includes a starting salary of $45,000 and an annual raise of 4.1%.

we can see here that raise is exponential, so raise is:

(1+4.1/100) = (1+0.041) = (1.041) per year.

Consequently, the salary of Chelsea from Company B is a function that is exponential.

g(t) is salary of chelsea from company B after t years.

g(t) = 45000(1.041)t

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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