the greater of two consecutive even integers is 20 more than twice the smaller. find the integers

Answer:

Step-by-step explanation:

Hey if you give me your email i ca email you the aswer it wot let me link a photo lol

Answer:

5.7

Step-by-step explanation:

to find the distance from -0.8 and 4.9. You add the distance each number is way from 0.

0.8+4.9=5.7

Answer:

21

Step-by-step explanation:

8x+y, when x=2 and y=5,

then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'

According to  PEMDAS, multiplication is done first, so

8*2= 16,

16+5, which is 16+5= 21

Answer:

asdfasdfasdf

Step-by-step explanation:

asdf

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

7 or 6^7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:45%

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

The 12-inch pieces the dressmaker can cut from 10 of these rolls of ribbon will be 30 strips.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given a dressmaker has a ribbon of 3 feet in length,

and he has a total of 10 rolls,

total length of ribbon = 10*3 = 30 feet

and 1 feet = 12 inches

30 feet = 12*30 inches

30 feet = 360 inches

the dressmaker has 360 inches of ribbon.

The dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 3 feet in length.

The number of rolls she has =  10 rolls

so,

12 inches strips from 360 inches of ribbon

= 360/12 = 30 strips.

Hence the dressmaker can make 30 strips of 12 inches from 360 inches of total ribbon.

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1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

90%

Step-by-step explanation:

Probability of households with one TV = 35% or 0.35

Probability of households with two sets = 39% or 0.39

Probability of households with three or more = 16% or 0.16

The probability of a household with no TV set = 0.10 or 10% (1 - 0.35 - 0.39 - 0.16)

Therefore, the probability of a household with at least one or more sets = 90% (35% + 39% + 16%) or 100% - 10%.

Probability is the chance that something may occur out of many events.  To calculate probability, we divide the number of events by the number of possible outcomes.

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

Answer:

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

sorry if im wrong

Step-by-step explanation:

Answer:

Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.

Step-by-step explanation:

The position of the image is 42.25 cm in front of the lens. and its height is 5.64 cm and inverted.

We can use the thin lens equation to find the position of the image:

\(1/f = 1/d_o + 1/d_i\)

where f is the focal length of the lens, \(d_o\) is the object distance (distance between object and lens), and \(d_i\) is the image distance (distance between image and lens). We can solve for \(d_i\):

\(1/d_i = 1/f - 1/d_o\)

f = R/2 for a plano-convex lens with radius of curvature R, so in this case

\(f = 13 cm/2 = 6.5 cm\).

Plugging in \(d_o\) = 15 cm and f = 6.5 cm, we get:

\(1/d_i = 1/6.5 - 1/15\\1/d_i = 0.1538\\d_i = 6.5/0.1538\\d_i = 42.25 cm\)

So the position of the image is 42.25 cm in front of the lens.

To find the height of the image, we can use the magnification equation:

\(m = -d_i/d_o\)

where m is the magnification (negative for a virtual image), \(d_i\) is the image distance (which we just found), and \(d_o\) is the object distance (given as 15 cm).

\(m = -42.25/15\\m = -2.82\)

This means that the image is 2.82 times smaller than the object. Since the object is 2.0 cm tall, the height of the image is:

\(h_i = mh_o\\h_i = -2.822.0 cm\\h_i = -5.64 cm\)

The negative sign indicates that the image is inverted (upside down). So the position of the image is 42.25 cm in front of the lens, and its height is 5.64 cm and inverted.

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Answer:

10)  95π/6 ft

12)  39π/4 ft

Step-by-step explanation:

10) 2π * 19 * 150/360 = 95π/6 ft

12)  2π* 13 * (3π/4)/(2π) = 39π/4 ft

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

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.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Answer:

A fancy way of saying "solutions" of the equation

Given that three factors are given and the surface area is required, this means that we are dealing with a three-dimensional shape. Where the above is a rectangular prism, the surface area = 118 In².

Surface area is the measure of the total area that the surface of a three-dimensional object occupies.

To calculate the surface area of an object, you need to add up the areas of all its faces. The formula for finding the surface area of a rectangular prism, which has three pairs of congruent rectangular faces, is:

Surface area = 2(lw + lh + wh)

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

So, if we have a rectangular prism with the following dimensions:

Length (l) = 3.5 inches

Width (w) = 4 inches

Height (h) = 6 inches

The surface area can be calculated as follows:

Surface area = 2(lw + lh + wh)

= 2(3.5 x 4 + 3.5 x 6 + 4 x 6)

= 2(14 + 21 + 24)

= 2(59)

= 118In²

Therefore, the surface area of this rectangular prism is 118 In².

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Full Question:

Although part of your question is missing, you may be referring to this full question:

Given a rectangular prism with the following dimensions:
3.5 in.

4 in.

6 in.

What is surface area?

Answer:

B. 35%

Step-by-step explanation:

P(winning $1.00)=40%

P(winning $5.00)=20%

P(winning $10.00)=5%

In a probability distribution, the sum of the probability must always be equal to 1.

Therefore:

P(winning $0.00)=1-(40%+20%+5%)

=1-(0.4+0.2+0.05)

=1-0.65

=0.35

The probability of winning nothing at all is 35%.

Answer: The answer is 15cm.

Step-by-step explanation:

Answer:

b = 15cm

Step-by-step explanation:

A = bh

      2

b = 2A = 2 * 30cm² = 60cm = 15cm

      h           4cm             4

Answer:

x=-7/3

Step-by-step explanation:

im sorry idek how to explain

hope this helps :9

Answer:

Step-by-step explanation:

x=either -7/3

x=-5

The slope of the line is -0.8.

The formula for distance  is...

y2−y1                                5−1

______=                       ________    

  x2−x1                            −9− −4

And so when simplified we  get

4

__

-5

Giving us -0.8.

Step-by-step explanation:

"the amount of sales" is in my understanding the earned money.

y = f(x) = the money earned.

x = number of bags sold.

so, y = f(x) just tells us how much money is earned, when x bags are sold.

and f(x) = 1.5x (whatever monetary unit is used)

650 bags are available.

the domain tells us the valid values for x.

so, what are valid numbers of bags of popcorn sold ?

well, if all goes bad, they sell no popcorn at all = 0 bags.

if all goes great, they will sell all 650 bags. but not more, because they have not more than these 650 bags.

so, the valid x values (domain) are whole numbers with

0 <= x <= 650.

whole numbers, because the problem description sounds like they would not sell parts of bags.

the range tells us the valid/expected intervals or sets of values for y (= the functional result values).

so, what are the possible amounts of money they can earn ?

for x = 0, also y = 0 (per y = 1.5x).

this is, where y starts. it cannot be lower than 0.

and then y grows with x with the factor of 1.5.

and the maximum amount of earned money we get, when x reaches the maximum (= all 650 bags are sold).

x = 650, y = 1.5×650 = 975

so, for the range we have

0 <= y <= 975

and y are rational numbers (due to the 1.5 factor)

Answer: $24

Step-by-step explanation: if you divide $120 by 5 then you get $24

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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